Step-by-step Maths Level 4: Partitioning, reading and writing numbers
Part of the Step-by-step Maths Level 4 counting and place value to 10000 chapter. Chapter overview · whole chapter on one page
Partitioning, reading and writing numbers
Partitioning means splitting a number into its parts: 4826 = 4000 + 800 + 20 + 6.
In words, the thousands come first, then the hundreds, then the tens and ones. Use and before the tens and ones.
Keep a zero in any empty column: 4006 has no hundreds and no tens.
Key ideas
- Partition: split the number into thousands, hundreds, tens and ones.
- Use and before the last two digits in words.
- Empty columns need a zero in figures.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts in the sum.4000 + 800 + 6 = 4806
- Take this from the number to find the missing part. 4826 minus 4806 is the gap.4826 - 4806 = 20
- Write the missing part. It is the value of the tens column.20
Check. Check: 4000 + 800 + 20 + 6 = 4826.
Watch out. The gap is a value, not a digit: it is 20, not 2.
Method. Read the number in parts: thousands, hundreds, then the last two digits.
- Say the thousands. Read the thousands digit first.three thousand
- Say the hundreds. Then read the hundreds.six hundred
- Say the tens and ones. Use and before the last two digits.and four
- Write the answer in words. Join the parts together.three thousand six hundred and four
Check. Check: 3000 + 600 + 4 = 3604.
Watch out. The zero tens digit still needs a place in the words: and four.
Method. Put each part of the words into its place in the number.
- Find the thousands. Six thousand is the first part.6000
- Find the hundreds, tens and ones. There are no hundreds or tens, and nine ones.0 hundreds, 0 tens, 9 ones
- Add the parts together. Each part goes in its own column.6000 + 0 + 9 = 6009
- Write the number in figures. Keep a zero in the empty columns.6009
Check. Check: read 6009 back as six thousand and nine.
Watch out. Keep a zero in the hundreds and tens columns when they are empty.
Watch out
Watch out. Six thousand and nine is 6009, not 6090 or 609. Keep the zero in the hundreds and tens places.
Exam tip
Grown-up tip. Let the child write each number in words, then check it back by reading the words aloud from the figures.
Exercise 1E Practice: partitioning, words and figures
Non-calculatorMethod. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.435
- Take this from the number to find the missing part. 3435 minus the known parts is the gap.3435 - 435 = 3000
- Write the missing part. It is the value of that column.3000
Check. Check: 3000 + 400 + 30 + 5 = 3435.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Put each part of the words into its place in the number.
- Find the thousands. Thousands come first.3 thousand = 3000
- Find the hundreds and the tens and ones. Hundreds are the next part; the last two digits follow.200 and 62
- Add the parts together. Each part goes in its own column.3000 + 200 + 62 = 3262
- Write the number in figures. Keep a zero in any empty place.3262
Check. Read 3262 back in words: three thousand two hundred and sixty-two.
Watch out. A zero is needed for any place with nothing in it, such as four thousand and six is 4006.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.2000
- Take this from the number to find the missing part. 2700 minus the known parts is the gap.2700 - 2000 = 700
- Write the missing part. It is the value of that column.700
Check. Check: 2000 + 700 + 0 + 0 = 2700.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.2308
- Take this from the number to find the missing part. 2398 minus the known parts is the gap.2398 - 2308 = 90
- Write the missing part. It is the value of that column.90
Check. Check: 2000 + 300 + 90 + 8 = 2398.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.1009
- Take this from the number to find the missing part. 1089 minus the known parts is the gap.1089 - 1009 = 80
- Write the missing part. It is the value of that column.80
Check. Check: 1000 + 0 + 80 + 9 = 1089.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Put each part of the words into its place in the number.
- Find the thousands. Thousands come first.2 thousand = 2000
- Find the hundreds and the tens and ones. Hundreds are the next part; the last two digits follow.700 and 5
- Add the parts together. Each part goes in its own column.2000 + 700 + 5 = 2705
- Write the number in figures. Keep a zero in any empty place.2705
Check. Read 2705 back in words: two thousand seven hundred and five.
Watch out. A zero is needed for any place with nothing in it, such as four thousand and six is 4006.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.2208
- Take this from the number to find the missing part. 2278 minus the known parts is the gap.2278 - 2208 = 70
- Write the missing part. It is the value of that column.70
Check. Check: 2000 + 200 + 70 + 8 = 2278.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Put each part of the words into its place in the number.
- Find the thousands. Thousands come first.1 thousand = 1000
- Find the hundreds and the tens and ones. Hundreds are the next part; the last two digits follow.600 and 93
- Add the parts together. Each part goes in its own column.1000 + 600 + 93 = 1693
- Write the number in figures. Keep a zero in any empty place.1693
Check. Read 1693 back in words: one thousand six hundred and ninety-three.
Watch out. A zero is needed for any place with nothing in it, such as four thousand and six is 4006.
Method. Read the number in parts: thousands, hundreds, then the last two digits.
- Say the thousands. Read the thousands digit first.one thousand
- Say the hundreds. Then read the hundreds.three hundred
- Say the tens and ones. Put the last two digits together. Use and before them.thirty-six
- Write the answer in words. Join the parts together.one thousand three hundred and thirty-six
Check. Check: 1000 + 300 + 36 = 1336.
Watch out. Put and before the tens and ones when there are hundreds, as in four hundred and six.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.470
- Take this from the number to find the missing part. 5470 minus the known parts is the gap.5470 - 470 = 5000
- Write the missing part. It is the value of that column.5000
Check. Check: 5000 + 400 + 70 + 0 = 5470.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.1003
- Take this from the number to find the missing part. 1083 minus the known parts is the gap.1083 - 1003 = 80
- Write the missing part. It is the value of that column.80
Check. Check: 1000 + 0 + 80 + 3 = 1083.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.6090
- Take this from the number to find the missing part. 6490 minus the known parts is the gap.6490 - 6090 = 400
- Write the missing part. It is the value of that column.400
Check. Check: 6000 + 400 + 90 + 0 = 6490.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Read the number in parts: thousands, hundreds, then the last two digits.
- Say the thousands. Read the thousands digit first.five thousand
- Say the hundreds. Then read the hundreds.four hundred
- Say the tens and ones. Put the last two digits together. Use and before them.eighty-four
- Write the answer in words. Join the parts together.five thousand four hundred and eighty-four
Check. Check: 5000 + 400 + 84 = 5484.
Watch out. Put and before the tens and ones when there are hundreds, as in four hundred and six.
Method. Find the parts we know, then subtract them from the whole.
- Add the parts we know. These are the parts written in the sum.8703
- Take this from the number to find the missing part. 8753 minus the known parts is the gap.8753 - 8703 = 50
- Write the missing part. It is the value of that column.50
Check. Check: 8000 + 700 + 50 + 3 = 8753.
Watch out. The parts are the thousands, hundreds, tens and ones values, not the digits on their own.
Method. Read the number in parts: thousands, hundreds, then the last two digits.
- Say the thousands. Read the thousands digit first.four thousand
- Say the hundreds. Then read the hundreds.eight hundred
- Say the tens and ones. Put the last two digits together. Use and before them.thirty
- Write the answer in words. Join the parts together.four thousand eight hundred and thirty
Check. Check: 4000 + 800 + 30 = 4830.
Watch out. Put and before the tens and ones when there are hundreds, as in four hundred and six.
Method. Read the number in parts: thousands, hundreds, then the last two digits.
- Say the thousands. Read the thousands digit first.two thousand
- Say the hundreds. Then read the hundreds.seven hundred
- Say the tens and ones. Put the last two digits together. Use and before them.seven
- Write the answer in words. Join the parts together.two thousand seven hundred and seven
Check. Check: 2000 + 700 + 7 = 2707.
Watch out. Put and before the tens and ones when there are hundreds, as in four hundred and six.