Step-by-step Maths Level 4: Rounding to the nearest 100 and 1000
Part of the Step-by-step Maths Level 4 comparing, ordering and rounding chapter. Chapter overview · whole chapter on one page
Rounding to the nearest 100 and 1000
To round to the nearest 100, look at the tens and ones together. Fifty or more rounds up to the next hundred.
To round to the nearest 1000, look at the hundreds, tens and ones together. 500 or more rounds up to the next thousand.
Key ideas
- Nearest 100: look at the last two digits.
- Nearest 1000: look at the last three digits.
- Exactly half rounds up.
Method. Round to the nearest 100: look at the tens and ones together.
- Look at the last two digits. Round using the tens and ones together.the last two digits are 50
- Decide: 50 is half of 100, so round up. Exactly 50 rounds up.50 is at least 50
- Round up to the next hundred. Keep the 68 hundreds and add one more hundred.6800 + 100 = 6900
- Write the answer. This is the nearest multiple of 100.6900
Check. Check: 6900 is a multiple of 100, and it is 50 away from 6850.
Watch out. Exactly half rounds up.
Method. Round to the nearest 1000: look at the hundreds, tens and ones together.
- Look at the last three digits. The last three digits tell us which thousand it is nearer to.the last three digits are 826
- Decide: 826 is more than 500. Half of 1000 is 500, and 826 is more than that.826 is more than 500
- Round up to the next thousand. Keep the thousands and add one more thousand.4000 + 1000 = 5000
- Write the answer. This is the nearest multiple of 1000.5000
Check. Check: 5000 is 174 away from 4826, and 4000 is 826 away.
Watch out. Look at the three digits on the right, not only the hundreds.
Method. Round to the nearest 1000: look at the digits to the right of the thousand place.
- Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.the last three digits are 412
- Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.412 is less than 500
- Round down. Keep the same thousands, and the digits to the right become 0.3412 rounds down to 3000
- Write the answer. This is the nearest multiple.3000
Check. Check: 3000 is a multiple of 1000, and it is the closest one to 3412.
Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Watch out
Watch out. 4826 rounds to 5000 to the nearest 1000, not 4000. Look at all three digits on the right.
Exam tip
Grown-up tip. Ask the child to name the two multiples on either side of the number, then ask which is closer.
Exercise 2E Practice: rounding to 100 and 1000
Non-calculatorMethod. Round to the nearest 1000: look at the digits to the right of the thousand place.
- Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.the last three digits are 590
- Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.590 is at least 500
- Round up. Add one more thousand, and the digits to the right become 0.9590 rounds up to 10000
- Write the answer. This is the nearest multiple.10000
Check. Check: 10000 is a multiple of 1000, and it is the closest one to 9590.
Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 67
- Decide: 50 or more. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.67 is at least 50
- Round up. Add one more hundred, and the digits to the right become 0.3967 rounds up to 4000
- Write the answer. This is the nearest multiple.4000
Check. Check: 4000 is a multiple of 100, and it is the closest one to 3967.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 7
- Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.7 is less than 50
- Round down. Keep the same hundreds, and the digits to the right become 0.1107 rounds down to 1100
- Write the answer. This is the nearest multiple.1100
Check. Check: 1100 is a multiple of 100, and it is the closest one to 1107.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 1000: look at the digits to the right of the thousand place.
- Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.the last three digits are 645
- Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.645 is at least 500
- Round up. Add one more thousand, and the digits to the right become 0.6645 rounds up to 7000
- Write the answer. This is the nearest multiple.7000
Check. Check: 7000 is a multiple of 1000, and it is the closest one to 6645.
Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 25
- Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.25 is less than 50
- Round down. Keep the same hundreds, and the digits to the right become 0.8125 rounds down to 8100
- Write the answer. This is the nearest multiple.8100
Check. Check: 8100 is a multiple of 100, and it is the closest one to 8125.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 1000: look at the digits to the right of the thousand place.
- Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.the last three digits are 419
- Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.419 is less than 500
- Round down. Keep the same thousands, and the digits to the right become 0.4419 rounds down to 4000
- Write the answer. This is the nearest multiple.4000
Check. Check: 4000 is a multiple of 1000, and it is the closest one to 4419.
Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 42
- Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.42 is less than 50
- Round down. Keep the same hundreds, and the digits to the right become 0.2142 rounds down to 2100
- Write the answer. This is the nearest multiple.2100
Check. Check: 2100 is a multiple of 100, and it is the closest one to 2142.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 34
- Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.34 is less than 50
- Round down. Keep the same hundreds, and the digits to the right become 0.1034 rounds down to 1000
- Write the answer. This is the nearest multiple.1000
Check. Check: 1000 is a multiple of 100, and it is the closest one to 1034.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 77
- Decide: 50 or more. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.77 is at least 50
- Round up. Add one more hundred, and the digits to the right become 0.6177 rounds up to 6200
- Write the answer. This is the nearest multiple.6200
Check. Check: 6200 is a multiple of 100, and it is the closest one to 6177.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 1000: look at the digits to the right of the thousand place.
- Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.the last three digits are 342
- Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.342 is less than 500
- Round down. Keep the same thousands, and the digits to the right become 0.4342 rounds down to 4000
- Write the answer. This is the nearest multiple.4000
Check. Check: 4000 is a multiple of 1000, and it is the closest one to 4342.
Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 13
- Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.13 is less than 50
- Round down. Keep the same hundreds, and the digits to the right become 0.5213 rounds down to 5200
- Write the answer. This is the nearest multiple.5200
Check. Check: 5200 is a multiple of 100, and it is the closest one to 5213.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 31
- Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.31 is less than 50
- Round down. Keep the same hundreds, and the digits to the right become 0.4131 rounds down to 4100
- Write the answer. This is the nearest multiple.4100
Check. Check: 4100 is a multiple of 100, and it is the closest one to 4131.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 1000: look at the digits to the right of the thousand place.
- Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.the last three digits are 844
- Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.844 is at least 500
- Round up. Add one more thousand, and the digits to the right become 0.8844 rounds up to 9000
- Write the answer. This is the nearest multiple.9000
Check. Check: 9000 is a multiple of 1000, and it is the closest one to 8844.
Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 1000: look at the digits to the right of the thousand place.
- Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.the last three digits are 20
- Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.20 is less than 500
- Round down. Keep the same thousands, and the digits to the right become 0.8020 rounds down to 8000
- Write the answer. This is the nearest multiple.8000
Check. Check: 8000 is a multiple of 1000, and it is the closest one to 8020.
Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 1000: look at the digits to the right of the thousand place.
- Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.the last three digits are 123
- Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.123 is less than 500
- Round down. Keep the same thousands, and the digits to the right become 0.3123 rounds down to 3000
- Write the answer. This is the nearest multiple.3000
Check. Check: 3000 is a multiple of 1000, and it is the closest one to 3123.
Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.
Method. Round to the nearest 100: look at the digits to the right of the hundred place.
- Look at the tens and ones together. The digits on the right tell us which way to go.the last two digits are 99
- Decide: 50 or more. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.99 is at least 50
- Round up. Add one more hundred, and the digits to the right become 0.9499 rounds up to 9500
- Write the answer. This is the nearest multiple.9500
Check. Check: 9500 is a multiple of 100, and it is the closest one to 9499.
Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.