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Step-by-step practice: Maths · Level 3Chapter 2 · Hundreds, tens and ones
Level 3 · Chapter 2

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-calculator
1
FWhat is the value of the 7 in 73?
2
FWrite 118 in words.
3
FWhat digit is in the ones place of 264?
4
FHow many tens are in 300?
5
FWrite 947 as hundreds, tens and ones added together.
2.1

Ten tens make one hundred

Level 3
Know that 10 tens make one hundred
Video lesson: Ten tens make one hundredComing soon

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.

1 hundred
One hundred flat: 100 ones, or 10 tens.

Key ideas

  • Ten ones make one ten.
  • Ten tens make one hundred.
  • So one hundred is the same as 10 tens.
Worked example 2.1.1
How many tens are in 500?

Method. Count how many hundreds there are, then count ten tens in each.

  1. Think of 500 as hundreds. 500 is 5 hundreds.
    500 = 5 hundreds
  2. Each hundred has ten tens. One hundred is the same as ten tens.
    5 x 10 = 50
  3. 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.

Worked example 2.1.2
How many hundreds are in 684?

Method. The hundreds digit tells us how many whole hundreds there are.

  1. Look at the hundreds digit in 684. The hundreds digit tells us how many hundreds.
    The hundreds digit is 6
  2. Count the whole hundreds. The tens and ones are not whole hundreds, so we leave them out.
    684 is 6 hundreds and 84 more
  3. 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.

Worked example 2.1.3
How many tens are in 900?

Method. Count how many hundreds there are, then count ten tens in each.

  1. Think of 900 as hundreds. 900 is 9 hundreds.
    900 = 9 hundreds
  2. Each hundred has ten tens. One hundred is the same as ten tens.
    9 x 10 = 90
  3. 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-calculator
1
FHow many hundreds are in 375?
2
FHow many hundreds are in 619?
3
FHow many hundreds are in 105?
4
FHow many hundreds are in 632?
5
FHow many hundreds are in 634?
6
FHow many tens are in 300?
7
FHow many hundreds are in 370?
8
FHow many tens are in 800?
9
FHow many tens are in 500?
10
FHow many hundreds are in 426?
11
FHow many hundreds are in 449?
12
FHow many hundreds are in 322?
13
FHow many hundreds are in 839?
14
FHow many hundreds are in 409?
15
FHow many hundreds are in 603?
16
FHow many tens are in 200?
2.2

Splitting into hundreds, tens and ones

Level 3
Split a 3-digit number into hundreds, tens and ones on a place value grid, Say which digit is in the hundreds, tens or ones place
Video lesson: Splitting into hundreds, tens and onesComing soon

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.

Hundreds3Tens5Ones2
352 in a place value table: 3 hundreds, 5 tens and 2 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.
Worked example 2.2.1
Split 352 into hundreds, tens and ones.

Method. Put the digits in the place value table, then read each column.

  1. Write 352 in the place value table. Hundreds, tens and ones each have a column.
    3 | 5 | 2
  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
  3. 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.

Worked example 2.2.2
Split 407 into hundreds, tens and ones.

Method. Put the digits in the place value table, then read each column.

  1. Write 407 in the place value table. Hundreds, tens and ones each have a column.
    4 | 0 | 7
  2. Read each column. The hundreds digit is 4, the tens digit is 0, the ones digit is 7.
    4 hundreds, 0 tens, 7 ones
  3. 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.

Worked example 2.2.3
What digit is in the tens place of 684?

Method. Look at the tens column of the place value table.

  1. Write 684 in a place value table. Each digit goes in its own column.
    684 = 6 | 8 | 4
  2. Find the tens column. The tens column is the one for tens.
    tens digit = 8
  3. 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-calculator
1
FSplit 150 into hundreds, tens and ones.
Hundreds1Tens5Ones0
2
FSplit 258 into hundreds, tens and ones.
Hundreds2Tens5Ones8
3
FSplit 569 into hundreds, tens and ones.
Hundreds5Tens6Ones9
4
FSplit 708 into hundreds, tens and ones.
Hundreds7Tens0Ones8
5
FSplit 449 into hundreds, tens and ones.
Hundreds4Tens4Ones9
6
FSplit 102 into hundreds, tens and ones.
Hundreds1Tens0Ones2
7
FSplit 448 into hundreds, tens and ones.
Hundreds4Tens4Ones8
8
FSplit 526 into hundreds, tens and ones.
Hundreds5Tens2Ones6
9
FWhat digit is in the tens place of 839?
10
FWhat digit is in the ones place of 437?
11
FWhat digit is in the tens place of 134?
12
FWhat digit is in the tens place of 474?
13
FWhat digit is in the ones place of 631?
14
FWhat digit is in the ones place of 140?
15
FWhat digit is in the tens place of 743?
16
FWhat digit is in the ones place of 196?
2.3

Writing numbers in numerals and words

Level 3
Read and write numbers from 100 to 1000 in numerals and in words
Video lesson: Writing numbers in numerals and wordsComing soon

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.
Worked example 2.3.1
Write 352 in words.

Method. Use the hundreds first, then the tens and ones.

  1. Say the hundreds in words. Hundreds come first.
    352 has 3 hundreds: three hundred
  2. Say the tens and ones in words. Say the number after hundred.
    fifty-two
  3. 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.

Worked example 2.3.2
Write 400 in words.

Method. Use the hundreds first, then the tens and ones.

  1. Say the hundreds in words. Hundreds come first.
    400 has 4 hundreds: four hundred
  2. There are no tens or ones. So the number is only hundreds.
    nothing else
  3. 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.

Worked example 2.3.3
Write in numerals: six hundred and eighteen.

Method. Use the hundreds first, then the tens and ones.

  1. Find the hundreds word. The number before hundred tells us the hundreds.
    six hundred = 600
  2. Find the tens and ones words. Read the words after and.
    eighteen = 18
  3. Add them together. The hundreds and the rest make the number.
    600 + 18 = 618
  4. 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-calculator
1
FWrite in numerals: seven hundred and seventy-seven.
2
FWrite in numerals: one hundred and eighty.
3
FWrite 457 in words.
4
FWrite in numerals: nine hundred and fifty-nine.
5
FWrite 818 in words.
6
FWrite in numerals: three hundred and sixty-seven.
7
FWrite 880 in words.
8
FWrite 346 in words.
9
FWrite in numerals: six hundred and six.
10
FWrite 827 in words.
11
FWrite 944 in words.
12
FWrite in numerals: one hundred and ninety-two.
13
FWrite in numerals: nine hundred and eighty-eight.
14
FWrite 110 in words.
15
FWrite in numerals: four hundred and twenty-six.
16
FWrite in numerals: nine hundred and seventy-two.
2.4

The value of each digit

Level 3
Say the value of the digit in the hundreds, tens or ones place
Video lesson: The value of each digitComing soon

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.
Worked example 2.4.1
What is the value of the 6 in 684?

Method. Find the digit, then multiply it by its place value. A hundreds digit is worth 100.

  1. Find the hundreds digit in 684. The hundreds digit is in the hundreds column.
    hundreds digit = 6
  2. Multiply by the place value. Each hundreds digit stands for 100 at a time in this column.
    6 x 100 = 600
  3. 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.

Worked example 2.4.2
What is the value of the 3 in 473?

Method. Find the digit, then multiply it by its place value. A ones digit is worth 1.

  1. Find the ones digit in 473. The ones digit is in the ones column.
    ones digit = 3
  2. Multiply by the place value. Each ones digit stands for 1 at a time in this column.
    3 x 1 = 3
  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.

Worked example 2.4.3
What is the tens digit in 907, and what is its value?

Method. Find the digit, then multiply it by its place value. A tens digit is worth 10.

  1. Find the tens digit in 907. The tens digit is in the tens column.
    tens digit = 0
  2. Multiply by the place value. Each tens digit stands for 10 at a time in this column.
    0 x 10 = 0
  3. 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-calculator
1
FWhat is the value of the 4 in 496?
2
FWhat is the value of the 9 in 989?
3
FWhat is the value of the 8 in 988?
4
FWhat is the value of the 3 in 333?
5
FWhat is the value of the 1 in 951?
6
FWhat is the value of the 8 in 178?
7
FWhat is the value of the 3 in 639?
8
FWhat is the value of the 2 in 262?
9
FWhat is the tens digit in 103, and what is its value?
10
FWhat is the value of the 3 in 933?
11
FWhat is the value of the 5 in 586?
12
FWhat is the value of the 7 in 170?
13
FWhat is the value of the 2 in 239?
14
FWhat is the value of the 9 in 391?
15
FWhat is the value of the 8 in 883?
16
FWhat is the value of the 4 in 649?
2.5

Writing a number in different ways

Level 3
Partition a number in more than one way, for example 352 = 300 + 50 + 2
Video lesson: Writing a number in different waysComing soon

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.
Worked example 2.5.1
Write 352 as hundreds, tens and ones added together.

Method. Split the number by its places, then write each part.

  1. Find the hundreds, tens and ones of 352. Read the place value table.
    3 hundreds, 5 tens, 2 ones
  2. Write each part as a number. Each part is the digit times its place value.
    300 + 50 + 2
  3. 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.

Worked example 2.5.2
Write 208 as hundreds, tens and ones added together.

Method. Split the number by its places, then write each part.

  1. Find the hundreds, tens and ones of 208. Read the place value table.
    2 hundreds, 0 tens, 8 ones
  2. Write each part as a number. Each part is the digit times its place value.
    200 + 8
  3. 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.

Worked example 2.5.3
Fill in the missing number: 352 = 300 + ___ + 2

Method. Work out the parts we know, then find what is left to make the number.

  1. Add the two parts we can see. These parts are already known.
    300 + 2 = 302
  2. Take this total away from the number. The missing part is what is left over.
    352 - 302 = 50
  3. 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-calculator
1
FFill in the missing number: 352 = 300 + ___ + 2
2
FFill in the missing number: 997 = ___ + 90 + 7
3
FFill in the missing number: 521 = 500 + 20 + ___
4
FFill in the missing number: 349 = 300 + ___ + 9
5
FWrite 855 as hundreds, tens and ones added together.
6
FFill in the missing number: 558 = 500 + 50 + ___
7
FWrite 848 as hundreds, tens and ones added together.
8
FWrite 396 as hundreds, tens and ones added together.
9
FWrite 978 as hundreds, tens and ones added together.
10
FWrite 770 as hundreds, tens and ones added together.
11
FFill in the missing number: 153 = 100 + 50 + ___
12
FFill in the missing number: 598 = 500 + ___ + 8
13
FWrite 420 as hundreds, tens and ones added together.
14
FWrite 734 as hundreds, tens and ones added together.
15
FFill in the missing number: 998 = ___ + 90 + 8
16
FWrite 480 as hundreds, tens and ones added together.

Chapter summary

SkillMethod
10 tens make 100Ten tens is one hundred; 100 is the same as 10 tens
Hundreds, tens and onesRead the digits from left to right in the place value table
Numerals and wordsHundreds first, then and, then tens and ones
Value of a digitMultiply the digit by its place value: 100, 10 or 1
PartitioningSplit 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-calculator
1
Split 475 into hundreds, tens and ones.
Hundreds4Tens7Ones5
2
What digit is in the ones place of 686?
3
What is the value of the 7 in 779?
4
Split 650 into hundreds, tens and ones.
Hundreds6Tens5Ones0
5
Fill in the missing number: 324 = ___ + 20 + 4
6
What is the value of the 7 in 475?
7
What is the value of the 9 in 299?
8
How many hundreds are in 468?
9
Split 758 into hundreds, tens and ones.
Hundreds7Tens5Ones8
10
Write in numerals: six hundred and three.

Total 19 marks. Allow about 19 minutes.

Exercise 2X  Practice test questions

Non-calculator
1
FHow many hundreds are in 255?[1 mark]
2
FHow many hundreds are in 784?[1 mark]
3
FFill in the missing number: 789 = ___ + 80 + 9[1 mark]
4
FWrite 915 as hundreds, tens and ones added together.[1 mark]
5
FHow many tens are in 100?[2 marks]
6
FFill in the missing number: 858 = ___ + 50 + 8[2 marks]
7
FSplit 526 into hundreds, tens and ones.[2 marks]
Hundreds5Tens2Ones6
8
FHow many hundreds are in 893?[3 marks]
9
FWrite 222 in words.[3 marks]
10
FWrite 831 in words.[3 marks]

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