🏰 Number Kingdom · Rounding
Round whole numbers to the nearest 10, 100, 1000 and higher powers of 10 using place value and midpoint decisions. In this lesson, focus on whole-number rounding chooses the closest multiple of the requested power of ten.
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Level 1 · Apprentice0 / 100 XP
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Round whole numbers to the nearest 10, 100, 1000 and higher powers of 10 using place value and midpoint decisions. In this lesson, focus on whole-number rounding chooses the closest multiple of the requested power of ten.
Whole-number rounding chooses the closest multiple of the requested power of ten. The midpoint separates the numbers that round down from those that round up. For rounding integers to powers of 10, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.
Rounding integers to powers of 10: Whole-number rounding chooses the closest multiple of the requested power of ten. Check that the answer is a multiple of the requested unit and that the original lies in its rounding interval. Keep the rounding integers to powers of 10 representation visible until the final line.
Place the number between neighbouring multiples on a draggable number line and reveal the midpoint decision gate. Use the model to explain one change you notice while working on rounding integers to powers of 10.
Check that the answer is a multiple of the requested unit and that the original lies in its rounding interval. Write that check beside the final rounding integers to powers of 10 answer.
Decision point = halfway between the two neighbouring rounded values.
Visual / interactive
Place the number between neighbouring multiples on a draggable number line and reveal the midpoint decision gate. Use the model to explain one change you notice while working on rounding integers to powers of 10.
Worked examples
Understand the idea with small numbers, one representation and one clear step.
Use the standard Year 8 method with mixed examples and normal wording.
Handle multi-step or less familiar questions and explain choices.
Solve a worded question, show reasoning, check accuracy and write a final sentence.
Given information: Rounding integers to powers of 10 — Round 1234 to the nearest 10. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 10 are 1230 and 1240. Their midpoint is 1235. 1234 is below the midpoint, so it rounds down to 1230. Final answer: 1230. Check: substitute or compare with the original information to confirm the result fits the question.
Given information: Rounding integers to powers of 10 — Round 3563 to the nearest 1000. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 1000 are 3000 and 4000. Their midpoint is 3500. 3563 is on or above the midpoint, so it rounds up to 4000. Final answer: 4000. Check: substitute or compare with the original information to confirm the result fits the question.
Check: Replace unused places with zeros when rounding whole numbers.
Given information: Rounding integers to powers of 10 — Round 5892 to the nearest 100. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 100 are 5800 and 5900. Their midpoint is 5850. 5892 is on or above the midpoint, so it rounds up to 5900. Final answer: 5900. Check: substitute or compare with the original information to confirm the result fits the question.
Try explaining why each step works before checking the answer.
Given information: Rounding integers to powers of 10 — Round 8221 to the nearest 10. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 10 are 8220 and 8230. Their midpoint is 8225. 8221 is below the midpoint, so it rounds down to 8220. Final answer: 8220. Check: substitute or compare with the original information to confirm the result fits the question.
Check that the answer is a multiple of the requested unit and that the original lies in its rounding interval. Write that check beside the final rounding integers to powers of 10 answer.
Create a rounding integers to powers of 10 problem with a tempting incorrect answer. Solve it, apply the check, and explain exactly where the incorrect method breaks down.
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Use round drag controls to solve three checked rounding integers to powers of 10 rounds. Solve at least two of three marked rounds and use feedback to correct any error.
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Rounding integers to powers of 10: Whole-number rounding chooses the closest multiple of the requested power of ten. Check that the answer is a multiple of the requested unit and that the original lies in its rounding interval. Keep the rounding integers to powers of 10 representation visible until the final line.
Tap to mark reviewedplace value · nearest multiple · midpoint · round up · round down · rounding · integers
Tap to mark reviewedIdentify the place value being rounded to. Write the two neighbouring multiples of that power of 10. Compare the number with the midpoint. Choose the nearer multiple and check the rounded digit.
Tap to mark reviewedDecision point = halfway between the two neighbouring rounded values.
Tap to mark reviewedGiven information: Rounding integers to powers of 10 — Round 1234 to the nearest 10. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 10 are 1230 and 1240. Their midpoint is 1235. 1234 is below the midpoint, so it rounds down to 1230. Final answer: 1230. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Rounding integers to powers of 10 — Round 3563 to the nearest 1000. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 1000 are 3000 and 4000. Their midpoint is 3500. 3563 is on or above the midpoint, so it rounds up to 4000. Final answer: 4000. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Rounding integers to powers of 10 — Round 5892 to the nearest 100. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 100 are 5800 and 5900. Their midpoint is 5850. 5892 is on or above the midpoint, so it rounds up to 5900. Final answer: 5900. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Rounding integers to powers of 10 — Round 8221 to the nearest 10. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 10 are 8220 and 8230. Their midpoint is 8225. 8221 is below the midpoint, so it rounds down to 8220. Final answer: 8220. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedRounding to the wrong column. This is a key trap when answering rounding integers to powers of 10 questions.
Tap to mark reviewedFor rounding integers to powers of 10, show the key representation before the final calculation. Use this final check: Check that the answer is a multiple of the requested unit and that the original lies in its rounding interval.
Tap to mark reviewedCrowd estimates, Mental calculation checks
Tap to mark reviewedI can explain rounding integers to powers of 10, use the method, check for mistakes, and answer an exam-style question.
Tap to mark reviewedI’m Stuck
Use this whenever a question feels confusing. Nothing here is locked.
Rounding integers to powers of 10: Whole-number rounding chooses the closest multiple of the requested power of ten. Check that the answer is a multiple of the requested unit and that the original lies in its rounding interval. Keep the rounding integers to powers of 10 representation visible until the final line.
Think of rounding integers to powers of 10 as a careful model: make the important values visible, change one thing at a time, and use the check to prove the answer fits.
Use neighbouring multiples and their midpoint.
A digit of 5 or more rounds up; below 5 rounds down.
Given information: Rounding integers to powers of 10 — Round 1234 to the nearest 10. Method choice: use the rounding integers to powers of 10 method and show each step with the stated values. Calculation or reasoning: The neighbouring multiples of 10 are 1230 and 1240. Their midpoint is 1235. 1234 is below the midpoint, so it rounds down to 1230. Final answer: 1230. Check: substitute or compare with the original information to confirm the result fits the question.
Method: Identify the place value being rounded to. → Write the two neighbouring multiples of that power of 10. → Compare the number with the midpoint. → Choose the nearer multiple and check the rounded digit.
Rounding to the wrong column. This is a key trap when answering rounding integers to powers of 10 questions.
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