Hundreds, tens and ones
By the end of this chapter you will be able to
- Know that 10 tens make one hundred
- Split a 3-digit number into hundreds, tens and ones
- Write numbers in numerals and words
- Find the value of a digit
- Partition a number in different ways
You should already know
- Tens and ones (Level 2, chapter 2)
- Counting to 1000 (chapter 1)
Where this leads
- Comparing and ordering to 1000 (chapter 3)
Step-by-step practice: maths (Level 3). Small steps, repeated until fluent. Content: Know that 10 tens make one hundred, and count tens and hundreds, Split a 3-digit number into hundreds, tens and ones on a place value grid, Read and write numbers from 100 to 1000 in numerals and in words, Say the value of the digit in the hundreds, tens or ones place, Partition a number in more than one way, for example 352 = 300 + 50 + 2.
Exercise P Do you remember?
Non-calculatorMethod. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 73. The tens digit is in the tens column.tens digit = 7
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.7 x 10 = 70
- Write the answer. This is the value of the digit.70
Check. Check the other digits add to the number: 73 = 3 + 70.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.118 has 1 hundreds: one hundred
- Say the tens and ones in words. Say the number after hundred.eighteen
- Join them with "and". British English puts and before the tens and ones.one hundred and eighteen
Check. Say it back: 118 is one hundred and eighteen.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Look at the ones column of the place value table.
- Write 264 in a place value table. Each digit goes in its own column.264 = 2 | 6 | 4
- Find the ones column. The ones column is the one for ones.ones digit = 4
- Write the digit. This digit is in the right place.4
Check. The digits of 264 are 2, 6 and 4.
Watch out. The digit is a single number from 0 to 9. It is not the value in the ones place.
Method. Count how many hundreds there are, then count ten tens in each.
- Think of 300 as hundreds. 300 is 3 hundreds.300 = 3 hundreds
- Each hundred has ten tens. One hundred is the same as ten tens.3 x 10 = 30
- Write the answer. 30
Check. Check: 30 tens is 300, because 3 hundreds is 300.
Watch out. One hundred is ten tens. Multiply the hundreds by 10 to find the tens.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 947. Read the place value table.9 hundreds, 4 tens, 7 ones
- Write each part as a number. Each part is the digit times its place value.900 + 40 + 7
- Write the answer. The parts add up to the number.900 + 40 + 7
Check. Add the parts: 900 + 40 + 7 = 947.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Ten tens make one hundred
Ten ones make one ten. Ten tens make one hundred.
A hundred flat is a square of 100 small squares. It can be split into 10 rows of 10. Each row is one ten.
Key ideas
- Ten ones make one ten.
- Ten tens make one hundred.
- So one hundred is the same as 10 tens.
Method. Count how many hundreds there are, then count ten tens in each.
- Think of 500 as hundreds. 500 is 5 hundreds.500 = 5 hundreds
- Each hundred has ten tens. One hundred is the same as ten tens.5 x 10 = 50
- Write the answer. 50
Check. Check: 50 tens is 500, because 5 hundreds is 500.
Watch out. One hundred is ten tens. Multiply the hundreds by 10 to find the tens.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 684. The hundreds digit tells us how many hundreds.The hundreds digit is 6
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.684 is 6 hundreds and 84 more
- Write the answer. This is the number of whole hundreds.6
Check. 6 hundreds is 600, which is the start of 684.
Watch out. Count the hundreds digit, not the whole number.
Method. Count how many hundreds there are, then count ten tens in each.
- Think of 900 as hundreds. 900 is 9 hundreds.900 = 9 hundreds
- Each hundred has ten tens. One hundred is the same as ten tens.9 x 10 = 90
- Write the answer. 90
Check. Check: 90 tens is 900, because 9 hundreds is 900.
Watch out. One hundred is ten tens. Multiply the hundreds by 10 to find the tens.
Watch out
Watch out. There are 10 tens in 100, not 100 tens. 300 has 30 tens, not 3 tens.
Exam tip
Grown-up tip. Make a hundred with 10 tens sticks. Count the sticks out loud: ten, twenty, and so on to a hundred.
Exercise 2A Practice: tens and hundreds
Non-calculatorMethod. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 375. The hundreds digit tells us how many hundreds.The hundreds digit is 3
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.375 is 3 hundreds and 75 more
- Write the answer. This is the number of whole hundreds.3
Check. 3 hundreds is 300, which is the start of 375.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 619. The hundreds digit tells us how many hundreds.The hundreds digit is 6
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.619 is 6 hundreds and 19 more
- Write the answer. This is the number of whole hundreds.6
Check. 6 hundreds is 600, which is the start of 619.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 105. The hundreds digit tells us how many hundreds.The hundreds digit is 1
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.105 is 1 hundreds and 5 more
- Write the answer. This is the number of whole hundreds.1
Check. 1 hundreds is 100, which is the start of 105.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 632. The hundreds digit tells us how many hundreds.The hundreds digit is 6
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.632 is 6 hundreds and 32 more
- Write the answer. This is the number of whole hundreds.6
Check. 6 hundreds is 600, which is the start of 632.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 634. The hundreds digit tells us how many hundreds.The hundreds digit is 6
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.634 is 6 hundreds and 34 more
- Write the answer. This is the number of whole hundreds.6
Check. 6 hundreds is 600, which is the start of 634.
Watch out. Count the hundreds digit, not the whole number.
Method. Count how many hundreds there are, then count ten tens in each.
- Think of 300 as hundreds. 300 is 3 hundreds.300 = 3 hundreds
- Each hundred has ten tens. One hundred is the same as ten tens.3 x 10 = 30
- Write the answer. 30
Check. Check: 30 tens is 300, because 3 hundreds is 300.
Watch out. One hundred is ten tens. Multiply the hundreds by 10 to find the tens.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 370. The hundreds digit tells us how many hundreds.The hundreds digit is 3
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.370 is 3 hundreds and 70 more
- Write the answer. This is the number of whole hundreds.3
Check. 3 hundreds is 300, which is the start of 370.
Watch out. Count the hundreds digit, not the whole number.
Method. Count how many hundreds there are, then count ten tens in each.
- Think of 800 as hundreds. 800 is 8 hundreds.800 = 8 hundreds
- Each hundred has ten tens. One hundred is the same as ten tens.8 x 10 = 80
- Write the answer. 80
Check. Check: 80 tens is 800, because 8 hundreds is 800.
Watch out. One hundred is ten tens. Multiply the hundreds by 10 to find the tens.
Method. Count how many hundreds there are, then count ten tens in each.
- Think of 500 as hundreds. 500 is 5 hundreds.500 = 5 hundreds
- Each hundred has ten tens. One hundred is the same as ten tens.5 x 10 = 50
- Write the answer. 50
Check. Check: 50 tens is 500, because 5 hundreds is 500.
Watch out. One hundred is ten tens. Multiply the hundreds by 10 to find the tens.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 426. The hundreds digit tells us how many hundreds.The hundreds digit is 4
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.426 is 4 hundreds and 26 more
- Write the answer. This is the number of whole hundreds.4
Check. 4 hundreds is 400, which is the start of 426.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 449. The hundreds digit tells us how many hundreds.The hundreds digit is 4
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.449 is 4 hundreds and 49 more
- Write the answer. This is the number of whole hundreds.4
Check. 4 hundreds is 400, which is the start of 449.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 322. The hundreds digit tells us how many hundreds.The hundreds digit is 3
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.322 is 3 hundreds and 22 more
- Write the answer. This is the number of whole hundreds.3
Check. 3 hundreds is 300, which is the start of 322.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 839. The hundreds digit tells us how many hundreds.The hundreds digit is 8
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.839 is 8 hundreds and 39 more
- Write the answer. This is the number of whole hundreds.8
Check. 8 hundreds is 800, which is the start of 839.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 409. The hundreds digit tells us how many hundreds.The hundreds digit is 4
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.409 is 4 hundreds and 9 more
- Write the answer. This is the number of whole hundreds.4
Check. 4 hundreds is 400, which is the start of 409.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 603. The hundreds digit tells us how many hundreds.The hundreds digit is 6
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.603 is 6 hundreds and 3 more
- Write the answer. This is the number of whole hundreds.6
Check. 6 hundreds is 600, which is the start of 603.
Watch out. Count the hundreds digit, not the whole number.
Method. Count how many hundreds there are, then count ten tens in each.
- Think of 200 as hundreds. 200 is 2 hundreds.200 = 2 hundreds
- Each hundred has ten tens. One hundred is the same as ten tens.2 x 10 = 20
- Write the answer. 20
Check. Check: 20 tens is 200, because 2 hundreds is 200.
Watch out. One hundred is ten tens. Multiply the hundreds by 10 to find the tens.
Splitting into hundreds, tens and ones
A 3-digit number has three places. The first digit is the hundreds. The middle digit is the tens. The last digit is the ones.
A zero still has its place. 407 has 4 hundreds, 0 tens and 7 ones.
Key ideas
- Hundreds, tens, ones: read from left to right.
- The digit 0 still has a place.
- Each digit is from 0 to 9.
Method. Put the digits in the place value table, then read each column.
- Write 352 in the place value table. Hundreds, tens and ones each have a column.3 | 5 | 2
- Read each column. The hundreds digit is 3, the tens digit is 5, the ones digit is 2.3 hundreds, 5 tens, 2 ones
- Write the answer. We use the digit in each column.3 hundreds, 5 tens and 2 ones
Check. Put them back: 300 + 50 + 2 = 352.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Put the digits in the place value table, then read each column.
- Write 407 in the place value table. Hundreds, tens and ones each have a column.4 | 0 | 7
- Read each column. The hundreds digit is 4, the tens digit is 0, the ones digit is 7.4 hundreds, 0 tens, 7 ones
- Write the answer. We use the digit in each column.4 hundreds, 0 tens and 7 ones
Check. Put them back: 400 + 0 + 7 = 407.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Look at the tens column of the place value table.
- Write 684 in a place value table. Each digit goes in its own column.684 = 6 | 8 | 4
- Find the tens column. The tens column is the one for tens.tens digit = 8
- Write the digit. This digit is in the right place.8
Check. The digits of 684 are 6, 8 and 4.
Watch out. The digit is a single number from 0 to 9. It is not the value in the tens place.
Watch out
Watch out. In 407 the tens digit is 0, not 7. Do not skip the empty tens place.
Exam tip
Grown-up tip. Use a place value table with cards. Ask: “How many hundreds? How many tens? How many ones?”
Exercise 2B Practice: hundreds, tens and ones
Non-calculatorMethod. Put the digits in the place value table, then read each column.
- Write 150 in the place value table. Hundreds, tens and ones each have a column.1 | 5 | 0
- Read each column. The hundreds digit is 1, the tens digit is 5, the ones digit is 0.1 hundreds, 5 tens, 0 ones
- Write the answer. We use the digit in each column.1 hundreds, 5 tens and 0 ones
Check. Put them back: 100 + 50 + 0 = 150.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Put the digits in the place value table, then read each column.
- Write 258 in the place value table. Hundreds, tens and ones each have a column.2 | 5 | 8
- Read each column. The hundreds digit is 2, the tens digit is 5, the ones digit is 8.2 hundreds, 5 tens, 8 ones
- Write the answer. We use the digit in each column.2 hundreds, 5 tens and 8 ones
Check. Put them back: 200 + 50 + 8 = 258.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Put the digits in the place value table, then read each column.
- Write 569 in the place value table. Hundreds, tens and ones each have a column.5 | 6 | 9
- Read each column. The hundreds digit is 5, the tens digit is 6, the ones digit is 9.5 hundreds, 6 tens, 9 ones
- Write the answer. We use the digit in each column.5 hundreds, 6 tens and 9 ones
Check. Put them back: 500 + 60 + 9 = 569.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Put the digits in the place value table, then read each column.
- Write 708 in the place value table. Hundreds, tens and ones each have a column.7 | 0 | 8
- Read each column. The hundreds digit is 7, the tens digit is 0, the ones digit is 8.7 hundreds, 0 tens, 8 ones
- Write the answer. We use the digit in each column.7 hundreds, 0 tens and 8 ones
Check. Put them back: 700 + 0 + 8 = 708.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Put the digits in the place value table, then read each column.
- Write 449 in the place value table. Hundreds, tens and ones each have a column.4 | 4 | 9
- Read each column. The hundreds digit is 4, the tens digit is 4, the ones digit is 9.4 hundreds, 4 tens, 9 ones
- Write the answer. We use the digit in each column.4 hundreds, 4 tens and 9 ones
Check. Put them back: 400 + 40 + 9 = 449.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Put the digits in the place value table, then read each column.
- Write 102 in the place value table. Hundreds, tens and ones each have a column.1 | 0 | 2
- Read each column. The hundreds digit is 1, the tens digit is 0, the ones digit is 2.1 hundreds, 0 tens, 2 ones
- Write the answer. We use the digit in each column.1 hundreds, 0 tens and 2 ones
Check. Put them back: 100 + 0 + 2 = 102.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Put the digits in the place value table, then read each column.
- Write 448 in the place value table. Hundreds, tens and ones each have a column.4 | 4 | 8
- Read each column. The hundreds digit is 4, the tens digit is 4, the ones digit is 8.4 hundreds, 4 tens, 8 ones
- Write the answer. We use the digit in each column.4 hundreds, 4 tens and 8 ones
Check. Put them back: 400 + 40 + 8 = 448.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Put the digits in the place value table, then read each column.
- Write 526 in the place value table. Hundreds, tens and ones each have a column.5 | 2 | 6
- Read each column. The hundreds digit is 5, the tens digit is 2, the ones digit is 6.5 hundreds, 2 tens, 6 ones
- Write the answer. We use the digit in each column.5 hundreds, 2 tens and 6 ones
Check. Put them back: 500 + 20 + 6 = 526.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Look at the tens column of the place value table.
- Write 839 in a place value table. Each digit goes in its own column.839 = 8 | 3 | 9
- Find the tens column. The tens column is the one for tens.tens digit = 3
- Write the digit. This digit is in the right place.3
Check. The digits of 839 are 8, 3 and 9.
Watch out. The digit is a single number from 0 to 9. It is not the value in the tens place.
Method. Look at the ones column of the place value table.
- Write 437 in a place value table. Each digit goes in its own column.437 = 4 | 3 | 7
- Find the ones column. The ones column is the one for ones.ones digit = 7
- Write the digit. This digit is in the right place.7
Check. The digits of 437 are 4, 3 and 7.
Watch out. The digit is a single number from 0 to 9. It is not the value in the ones place.
Method. Look at the tens column of the place value table.
- Write 134 in a place value table. Each digit goes in its own column.134 = 1 | 3 | 4
- Find the tens column. The tens column is the one for tens.tens digit = 3
- Write the digit. This digit is in the right place.3
Check. The digits of 134 are 1, 3 and 4.
Watch out. The digit is a single number from 0 to 9. It is not the value in the tens place.
Method. Look at the tens column of the place value table.
- Write 474 in a place value table. Each digit goes in its own column.474 = 4 | 7 | 4
- Find the tens column. The tens column is the one for tens.tens digit = 7
- Write the digit. This digit is in the right place.7
Check. The digits of 474 are 4, 7 and 4.
Watch out. The digit is a single number from 0 to 9. It is not the value in the tens place.
Method. Look at the ones column of the place value table.
- Write 631 in a place value table. Each digit goes in its own column.631 = 6 | 3 | 1
- Find the ones column. The ones column is the one for ones.ones digit = 1
- Write the digit. This digit is in the right place.1
Check. The digits of 631 are 6, 3 and 1.
Watch out. The digit is a single number from 0 to 9. It is not the value in the ones place.
Method. Look at the ones column of the place value table.
- Write 140 in a place value table. Each digit goes in its own column.140 = 1 | 4 | 0
- Find the ones column. The ones column is the one for ones.ones digit = 0
- Write the digit. This digit is in the right place.0
Check. The digits of 140 are 1, 4 and 0.
Watch out. The digit is a single number from 0 to 9. It is not the value in the ones place.
Method. Look at the tens column of the place value table.
- Write 743 in a place value table. Each digit goes in its own column.743 = 7 | 4 | 3
- Find the tens column. The tens column is the one for tens.tens digit = 4
- Write the digit. This digit is in the right place.4
Check. The digits of 743 are 7, 4 and 3.
Watch out. The digit is a single number from 0 to 9. It is not the value in the tens place.
Method. Look at the ones column of the place value table.
- Write 196 in a place value table. Each digit goes in its own column.196 = 1 | 9 | 6
- Find the ones column. The ones column is the one for ones.ones digit = 6
- Write the digit. This digit is in the right place.6
Check. The digits of 196 are 1, 9 and 6.
Watch out. The digit is a single number from 0 to 9. It is not the value in the ones place.
Writing numbers in numerals and words
We write the hundreds first in words, then “and”, then the tens and ones.
In numerals, each digit goes in its own place. The words for 100 to 999 follow the same pattern.
Key ideas
- Hundreds first, then tens and ones.
- Put “and” before the tens and ones.
- No “and” if there are no tens or ones.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.352 has 3 hundreds: three hundred
- Say the tens and ones in words. Say the number after hundred.fifty-two
- Join them with "and". British English puts and before the tens and ones.three hundred and fifty-two
Check. Say it back: 352 is three hundred and fifty-two.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.400 has 4 hundreds: four hundred
- There are no tens or ones. So the number is only hundreds.nothing else
- Write the answer. four hundred
Check. Say it back: 400 is four hundred.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.six hundred = 600
- Find the tens and ones words. Read the words after and.eighteen = 18
- Add them together. The hundreds and the rest make the number.600 + 18 = 618
- Write the answer. 618
Check. Say it back: 618 is six hundred and eighteen.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Watch out
Watch out. Write four hundred and six, not four hundred six and not forty six. Check the hundreds word first.
Exam tip
Grown-up tip. Say the number out loud in hundreds, tens and ones. Ask the child to point to each column as they say it.
Exercise 2C Practice: numerals and words
Non-calculatorMethod. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.seven hundred = 700
- Find the tens and ones words. Read the words after and.seventy-seven = 77
- Add them together. The hundreds and the rest make the number.700 + 77 = 777
- Write the answer. 777
Check. Say it back: 777 is seven hundred and seventy-seven.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.one hundred = 100
- Find the tens and ones words. Read the words after and.eighty = 80
- Add them together. The hundreds and the rest make the number.100 + 80 = 180
- Write the answer. 180
Check. Say it back: 180 is one hundred and eighty.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.457 has 4 hundreds: four hundred
- Say the tens and ones in words. Say the number after hundred.fifty-seven
- Join them with "and". British English puts and before the tens and ones.four hundred and fifty-seven
Check. Say it back: 457 is four hundred and fifty-seven.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.nine hundred = 900
- Find the tens and ones words. Read the words after and.fifty-nine = 59
- Add them together. The hundreds and the rest make the number.900 + 59 = 959
- Write the answer. 959
Check. Say it back: 959 is nine hundred and fifty-nine.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.818 has 8 hundreds: eight hundred
- Say the tens and ones in words. Say the number after hundred.eighteen
- Join them with "and". British English puts and before the tens and ones.eight hundred and eighteen
Check. Say it back: 818 is eight hundred and eighteen.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.three hundred = 300
- Find the tens and ones words. Read the words after and.sixty-seven = 67
- Add them together. The hundreds and the rest make the number.300 + 67 = 367
- Write the answer. 367
Check. Say it back: 367 is three hundred and sixty-seven.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.880 has 8 hundreds: eight hundred
- Say the tens and ones in words. Say the number after hundred.eighty
- Join them with "and". British English puts and before the tens and ones.eight hundred and eighty
Check. Say it back: 880 is eight hundred and eighty.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.346 has 3 hundreds: three hundred
- Say the tens and ones in words. Say the number after hundred.forty-six
- Join them with "and". British English puts and before the tens and ones.three hundred and forty-six
Check. Say it back: 346 is three hundred and forty-six.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.six hundred = 600
- Find the tens and ones words. Read the words after and.six = 6
- Add them together. The hundreds and the rest make the number.600 + 6 = 606
- Write the answer. 606
Check. Say it back: 606 is six hundred and six.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.827 has 8 hundreds: eight hundred
- Say the tens and ones in words. Say the number after hundred.twenty-seven
- Join them with "and". British English puts and before the tens and ones.eight hundred and twenty-seven
Check. Say it back: 827 is eight hundred and twenty-seven.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.944 has 9 hundreds: nine hundred
- Say the tens and ones in words. Say the number after hundred.forty-four
- Join them with "and". British English puts and before the tens and ones.nine hundred and forty-four
Check. Say it back: 944 is nine hundred and forty-four.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.one hundred = 100
- Find the tens and ones words. Read the words after and.ninety-two = 92
- Add them together. The hundreds and the rest make the number.100 + 92 = 192
- Write the answer. 192
Check. Say it back: 192 is one hundred and ninety-two.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.nine hundred = 900
- Find the tens and ones words. Read the words after and.eighty-eight = 88
- Add them together. The hundreds and the rest make the number.900 + 88 = 988
- Write the answer. 988
Check. Say it back: 988 is nine hundred and eighty-eight.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.110 has 1 hundreds: one hundred
- Say the tens and ones in words. Say the number after hundred.ten
- Join them with "and". British English puts and before the tens and ones.one hundred and ten
Check. Say it back: 110 is one hundred and ten.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.four hundred = 400
- Find the tens and ones words. Read the words after and.twenty-six = 26
- Add them together. The hundreds and the rest make the number.400 + 26 = 426
- Write the answer. 426
Check. Say it back: 426 is four hundred and twenty-six.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.nine hundred = 900
- Find the tens and ones words. Read the words after and.seventy-two = 72
- Add them together. The hundreds and the rest make the number.900 + 72 = 972
- Write the answer. 972
Check. Say it back: 972 is nine hundred and seventy-two.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
The value of each digit
The value of a digit depends on its place. The 6 in 645 is 6 hundreds, which is 600. The 6 in 764 is 6 tens, which is 60.
Find the digit and its place, then multiply by the place value.
Key ideas
- Hundreds are worth 100 each.
- Tens are worth 10 each.
- Ones are worth 1 each.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 684. The hundreds digit is in the hundreds column.hundreds digit = 6
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.6 x 100 = 600
- Write the answer. This is the value of the digit.600
Check. Check the other digits add to the number: 684 = 84 + 600.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 473. The ones digit is in the ones column.ones digit = 3
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.3 x 1 = 3
- Write the answer. This is the value of the digit.3
Check. Check the other digits add to the number: 473 = 470 + 3.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 907. The tens digit is in the tens column.tens digit = 0
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.0 x 10 = 0
- Write the answer. This is the value of the digit.0
Check. Check the other digits add to the number: 907 = 907 + 0.
Watch out. The value is the digit times the place. It is not just the digit.
Watch out
Watch out. The value of the 4 in 340 is 40, not 4. A digit in the tens place is worth ten times its digit.
Exam tip
Grown-up tip. Ask: “Is that digit in the hundreds, tens or ones column? What is it worth?”
Exercise 2D Practice: the value of each digit
Non-calculatorMethod. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 496. The hundreds digit is in the hundreds column.hundreds digit = 4
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.4 x 100 = 400
- Write the answer. This is the value of the digit.400
Check. Check the other digits add to the number: 496 = 96 + 400.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 989. The ones digit is in the ones column.ones digit = 9
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.9 x 1 = 9
- Write the answer. This is the value of the digit.9
Check. Check the other digits add to the number: 989 = 980 + 9.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 988. The ones digit is in the ones column.ones digit = 8
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.8 x 1 = 8
- Write the answer. This is the value of the digit.8
Check. Check the other digits add to the number: 988 = 980 + 8.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 333. The tens digit is in the tens column.tens digit = 3
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.3 x 10 = 30
- Write the answer. This is the value of the digit.30
Check. Check the other digits add to the number: 333 = 303 + 30.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 951. The ones digit is in the ones column.ones digit = 1
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.1 x 1 = 1
- Write the answer. This is the value of the digit.1
Check. Check the other digits add to the number: 951 = 950 + 1.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 178. The ones digit is in the ones column.ones digit = 8
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.8 x 1 = 8
- Write the answer. This is the value of the digit.8
Check. Check the other digits add to the number: 178 = 170 + 8.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 639. The tens digit is in the tens column.tens digit = 3
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.3 x 10 = 30
- Write the answer. This is the value of the digit.30
Check. Check the other digits add to the number: 639 = 609 + 30.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 262. The hundreds digit is in the hundreds column.hundreds digit = 2
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.2 x 100 = 200
- Write the answer. This is the value of the digit.200
Check. Check the other digits add to the number: 262 = 62 + 200.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 103. The tens digit is in the tens column.tens digit = 0
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.0 x 10 = 0
- Write the answer. This is the value of the digit.0
Check. Check the other digits add to the number: 103 = 103 + 0.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 933. The ones digit is in the ones column.ones digit = 3
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.3 x 1 = 3
- Write the answer. This is the value of the digit.3
Check. Check the other digits add to the number: 933 = 930 + 3.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 586. The hundreds digit is in the hundreds column.hundreds digit = 5
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.5 x 100 = 500
- Write the answer. This is the value of the digit.500
Check. Check the other digits add to the number: 586 = 86 + 500.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 170. The tens digit is in the tens column.tens digit = 7
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.7 x 10 = 70
- Write the answer. This is the value of the digit.70
Check. Check the other digits add to the number: 170 = 100 + 70.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 239. The hundreds digit is in the hundreds column.hundreds digit = 2
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.2 x 100 = 200
- Write the answer. This is the value of the digit.200
Check. Check the other digits add to the number: 239 = 39 + 200.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 391. The tens digit is in the tens column.tens digit = 9
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.9 x 10 = 90
- Write the answer. This is the value of the digit.90
Check. Check the other digits add to the number: 391 = 301 + 90.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.
- Find the hundreds digit in 883. The hundreds digit is in the hundreds column.hundreds digit = 8
- Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.8 x 100 = 800
- Write the answer. This is the value of the digit.800
Check. Check the other digits add to the number: 883 = 83 + 800.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 649. The tens digit is in the tens column.tens digit = 4
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.4 x 10 = 40
- Write the answer. This is the value of the digit.40
Check. Check the other digits add to the number: 649 = 609 + 40.
Watch out. The value is the digit times the place. It is not just the digit.
Writing a number in different ways
To partition a number means to split it into parts that add up to the number.
352 = 300 + 50 + 2 uses hundreds, tens and ones. It can be split other ways, such as 352 = 300 + 40 + 12. Both are right.
Key ideas
- Partition means split into parts that add to the number.
- The usual way is hundreds, tens and ones.
- Another way can use different parts, if the total is the same.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 352. Read the place value table.3 hundreds, 5 tens, 2 ones
- Write each part as a number. Each part is the digit times its place value.300 + 50 + 2
- Write the answer. The parts add up to the number.300 + 50 + 2
Check. Add the parts: 300 + 50 + 2 = 352.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 208. Read the place value table.2 hundreds, 0 tens, 8 ones
- Write each part as a number. Each part is the digit times its place value.200 + 8
- Write the answer. The parts add up to the number.200 + 8
Check. Add the parts: 200 + 8 = 208.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.300 + 2 = 302
- Take this total away from the number. The missing part is what is left over.352 - 302 = 50
- Write the missing number. It makes the sum equal to the number.50
Check. Check: 300 + 50 + 2 = 352.
Watch out. The missing part is the number that makes the total exact.
Watch out
Watch out. 300 + 40 + 12 is 352, but it is not hundreds, tens and ones. Check the total before you finish.
Exam tip
Grown-up tip. Use base-ten blocks to make the number, then swap a ten for ten ones and count again.
Exercise 2E Practice: partitioning
Non-calculatorMethod. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.300 + 2 = 302
- Take this total away from the number. The missing part is what is left over.352 - 302 = 50
- Write the missing number. It makes the sum equal to the number.50
Check. Check: 300 + 50 + 2 = 352.
Watch out. The missing part is the number that makes the total exact.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.90 + 7 = 97
- Take this total away from the number. The missing part is what is left over.997 - 97 = 900
- Write the missing number. It makes the sum equal to the number.900
Check. Check: 900 + 90 + 7 = 997.
Watch out. The missing part is the number that makes the total exact.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.500 + 20 = 520
- Take this total away from the number. The missing part is what is left over.521 - 520 = 1
- Write the missing number. It makes the sum equal to the number.1
Check. Check: 500 + 20 + 1 = 521.
Watch out. The missing part is the number that makes the total exact.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.300 + 9 = 309
- Take this total away from the number. The missing part is what is left over.349 - 309 = 40
- Write the missing number. It makes the sum equal to the number.40
Check. Check: 300 + 40 + 9 = 349.
Watch out. The missing part is the number that makes the total exact.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 855. Read the place value table.8 hundreds, 5 tens, 5 ones
- Write each part as a number. Each part is the digit times its place value.800 + 50 + 5
- Write the answer. The parts add up to the number.800 + 50 + 5
Check. Add the parts: 800 + 50 + 5 = 855.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.500 + 50 = 550
- Take this total away from the number. The missing part is what is left over.558 - 550 = 8
- Write the missing number. It makes the sum equal to the number.8
Check. Check: 500 + 50 + 8 = 558.
Watch out. The missing part is the number that makes the total exact.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 848. Read the place value table.8 hundreds, 4 tens, 8 ones
- Write each part as a number. Each part is the digit times its place value.800 + 40 + 8
- Write the answer. The parts add up to the number.800 + 40 + 8
Check. Add the parts: 800 + 40 + 8 = 848.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 396. Read the place value table.3 hundreds, 9 tens, 6 ones
- Write each part as a number. Each part is the digit times its place value.300 + 90 + 6
- Write the answer. The parts add up to the number.300 + 90 + 6
Check. Add the parts: 300 + 90 + 6 = 396.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 978. Read the place value table.9 hundreds, 7 tens, 8 ones
- Write each part as a number. Each part is the digit times its place value.900 + 70 + 8
- Write the answer. The parts add up to the number.900 + 70 + 8
Check. Add the parts: 900 + 70 + 8 = 978.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 770. Read the place value table.7 hundreds, 7 tens, 0 ones
- Write each part as a number. Each part is the digit times its place value.700 + 70
- Write the answer. The parts add up to the number.700 + 70
Check. Add the parts: 700 + 70 = 770.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.100 + 50 = 150
- Take this total away from the number. The missing part is what is left over.153 - 150 = 3
- Write the missing number. It makes the sum equal to the number.3
Check. Check: 100 + 50 + 3 = 153.
Watch out. The missing part is the number that makes the total exact.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.500 + 8 = 508
- Take this total away from the number. The missing part is what is left over.598 - 508 = 90
- Write the missing number. It makes the sum equal to the number.90
Check. Check: 500 + 90 + 8 = 598.
Watch out. The missing part is the number that makes the total exact.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 420. Read the place value table.4 hundreds, 2 tens, 0 ones
- Write each part as a number. Each part is the digit times its place value.400 + 20
- Write the answer. The parts add up to the number.400 + 20
Check. Add the parts: 400 + 20 = 420.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 734. Read the place value table.7 hundreds, 3 tens, 4 ones
- Write each part as a number. Each part is the digit times its place value.700 + 30 + 4
- Write the answer. The parts add up to the number.700 + 30 + 4
Check. Add the parts: 700 + 30 + 4 = 734.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.90 + 8 = 98
- Take this total away from the number. The missing part is what is left over.998 - 98 = 900
- Write the missing number. It makes the sum equal to the number.900
Check. Check: 900 + 90 + 8 = 998.
Watch out. The missing part is the number that makes the total exact.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 480. Read the place value table.4 hundreds, 8 tens, 0 ones
- Write each part as a number. Each part is the digit times its place value.400 + 80
- Write the answer. The parts add up to the number.400 + 80
Check. Add the parts: 400 + 80 = 480.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Chapter summary
| Skill | Method |
|---|---|
| 10 tens make 100 | Ten tens is one hundred; 100 is the same as 10 tens |
| Hundreds, tens and ones | Read the digits from left to right in the place value table |
| Numerals and words | Hundreds first, then and, then tens and ones |
| Value of a digit | Multiply the digit by its place value: 100, 10 or 1 |
| Partitioning | Split into parts that add up to the number |
Can you…?
- I know that 10 tens make one hundred
- I can split a 3-digit number into hundreds, tens and ones
- I can write numbers from 100 to 1000 in numerals and in words
- I can say the value of the digit in each place
- I can partition a number in more than one way
Key terms
- place value
- what a digit is worth because of its place in the number
- partition
- split a number into parts that add up to it
- digit
- one of the symbols 0 to 9 used to write a number
- hundreds digit
- the digit in the hundreds place, for example the 6 in 645
Exercise 2Z Check-up
Non-calculatorMethod. Put the digits in the place value table, then read each column.
- Write 475 in the place value table. Hundreds, tens and ones each have a column.4 | 7 | 5
- Read each column. The hundreds digit is 4, the tens digit is 7, the ones digit is 5.4 hundreds, 7 tens, 5 ones
- Write the answer. We use the digit in each column.4 hundreds, 7 tens and 5 ones
Check. Put them back: 400 + 70 + 5 = 475.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Look at the ones column of the place value table.
- Write 686 in a place value table. Each digit goes in its own column.686 = 6 | 8 | 6
- Find the ones column. The ones column is the one for ones.ones digit = 6
- Write the digit. This digit is in the right place.6
Check. The digits of 686 are 6, 8 and 6.
Watch out. The digit is a single number from 0 to 9. It is not the value in the ones place.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 779. The tens digit is in the tens column.tens digit = 7
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.7 x 10 = 70
- Write the answer. This is the value of the digit.70
Check. Check the other digits add to the number: 779 = 709 + 70.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Put the digits in the place value table, then read each column.
- Write 650 in the place value table. Hundreds, tens and ones each have a column.6 | 5 | 0
- Read each column. The hundreds digit is 6, the tens digit is 5, the ones digit is 0.6 hundreds, 5 tens, 0 ones
- Write the answer. We use the digit in each column.6 hundreds, 5 tens and 0 ones
Check. Put them back: 600 + 50 + 0 = 650.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.20 + 4 = 24
- Take this total away from the number. The missing part is what is left over.324 - 24 = 300
- Write the missing number. It makes the sum equal to the number.300
Check. Check: 300 + 20 + 4 = 324.
Watch out. The missing part is the number that makes the total exact.
Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.
- Find the tens digit in 475. The tens digit is in the tens column.tens digit = 7
- Multiply by the place value. Each tens digit stands for 10 at a time in this column.7 x 10 = 70
- Write the answer. This is the value of the digit.70
Check. Check the other digits add to the number: 475 = 405 + 70.
Watch out. The value is the digit times the place. It is not just the digit.
Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.
- Find the ones digit in 299. The ones digit is in the ones column.ones digit = 9
- Multiply by the place value. Each ones digit stands for 1 at a time in this column.9 x 1 = 9
- Write the answer. This is the value of the digit.9
Check. Check the other digits add to the number: 299 = 290 + 9.
Watch out. The value is the digit times the place. It is not just the digit.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 468. The hundreds digit tells us how many hundreds.The hundreds digit is 4
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.468 is 4 hundreds and 68 more
- Write the answer. This is the number of whole hundreds.4
Check. 4 hundreds is 400, which is the start of 468.
Watch out. Count the hundreds digit, not the whole number.
Method. Put the digits in the place value table, then read each column.
- Write 758 in the place value table. Hundreds, tens and ones each have a column.7 | 5 | 8
- Read each column. The hundreds digit is 7, the tens digit is 5, the ones digit is 8.7 hundreds, 5 tens, 8 ones
- Write the answer. We use the digit in each column.7 hundreds, 5 tens and 8 ones
Check. Put them back: 700 + 50 + 8 = 758.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. Use the hundreds first, then the tens and ones.
- Find the hundreds word. The number before hundred tells us the hundreds.six hundred = 600
- Find the tens and ones words. Read the words after and.three = 3
- Add them together. The hundreds and the rest make the number.600 + 3 = 603
- Write the answer. 603
Check. Say it back: 603 is six hundred and three.
Watch out. Hundreds come first. Write the digits in the right columns: hundreds, tens, ones.
Total 19 marks. Allow about 19 minutes.
Exercise 2X Practice test questions
Non-calculatorMethod. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 255. The hundreds digit tells us how many hundreds.The hundreds digit is 2
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.255 is 2 hundreds and 55 more
- Write the answer. This is the number of whole hundreds.2
Check. 2 hundreds is 200, which is the start of 255.
Watch out. Count the hundreds digit, not the whole number.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 784. The hundreds digit tells us how many hundreds.The hundreds digit is 7
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.784 is 7 hundreds and 84 more
- Write the answer. This is the number of whole hundreds.7
Check. 7 hundreds is 700, which is the start of 784.
Watch out. Count the hundreds digit, not the whole number.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.80 + 9 = 89
- Take this total away from the number. The missing part is what is left over.789 - 89 = 700
- Write the missing number. It makes the sum equal to the number.700
Check. Check: 700 + 80 + 9 = 789.
Watch out. The missing part is the number that makes the total exact.
Method. Split the number by its places, then write each part.
- Find the hundreds, tens and ones of 915. Read the place value table.9 hundreds, 1 tens, 5 ones
- Write each part as a number. Each part is the digit times its place value.900 + 10 + 5
- Write the answer. The parts add up to the number.900 + 10 + 5
Check. Add the parts: 900 + 10 + 5 = 915.
Watch out. Leave out a part that is zero. 204 is 200 + 4.
Method. Count how many hundreds there are, then count ten tens in each.
- Think of 100 as hundreds. 100 is 1 hundred.100 = 1 hundreds
- Each hundred has ten tens. One hundred is the same as ten tens.1 x 10 = 10
- Write the answer. 10
Check. Check: 10 tens is 100, because 1 hundreds is 100.
Watch out. One hundred is ten tens. Multiply the hundreds by 10 to find the tens.
Method. Work out the parts we know, then find what is left to make the number.
- Add the two parts we can see. These parts are already known.50 + 8 = 58
- Take this total away from the number. The missing part is what is left over.858 - 58 = 800
- Write the missing number. It makes the sum equal to the number.800
Check. Check: 800 + 50 + 8 = 858.
Watch out. The missing part is the number that makes the total exact.
Method. Put the digits in the place value table, then read each column.
- Write 526 in the place value table. Hundreds, tens and ones each have a column.5 | 2 | 6
- Read each column. The hundreds digit is 5, the tens digit is 2, the ones digit is 6.5 hundreds, 2 tens, 6 ones
- Write the answer. We use the digit in each column.5 hundreds, 2 tens and 6 ones
Check. Put them back: 500 + 20 + 6 = 526.
Watch out. A zero digit still has its column. Write 0 tens if there are no tens.
Method. The hundreds digit tells us how many whole hundreds there are.
- Look at the hundreds digit in 893. The hundreds digit tells us how many hundreds.The hundreds digit is 8
- Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.893 is 8 hundreds and 93 more
- Write the answer. This is the number of whole hundreds.8
Check. 8 hundreds is 800, which is the start of 893.
Watch out. Count the hundreds digit, not the whole number.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.222 has 2 hundreds: two hundred
- Say the tens and ones in words. Say the number after hundred.twenty-two
- Join them with "and". British English puts and before the tens and ones.two hundred and twenty-two
Check. Say it back: 222 is two hundred and twenty-two.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.
Method. Use the hundreds first, then the tens and ones.
- Say the hundreds in words. Hundreds come first.831 has 8 hundreds: eight hundred
- Say the tens and ones in words. Say the number after hundred.thirty-one
- Join them with "and". British English puts and before the tens and ones.eight hundred and thirty-one
Check. Say it back: 831 is eight hundred and thirty-one.
Watch out. Write hundred and then and before the tens and ones, like three hundred and seven.