🏰 Number Kingdom · Significant figures
Round whole numbers to a chosen number of significant figures. In this lesson, focus on significant figures describe the important digits in a value.
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Round whole numbers to a chosen number of significant figures. In this lesson, focus on significant figures describe the important digits in a value.
Significant figures describe the important digits in a value. Counting starts at the first non-zero digit, not automatically at the decimal point, and zeros inside or after significant digits may matter. For rounding integers to significant figures, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.
Rounding integers to significant figures: Significant figures describe the important digits in a value. Read the rounded answer back at the original scale and count the significant digits again. Keep the rounding integers to significant figures representation visible until the final line.
Highlight each digit from the first non-zero digit and classify zeros as leading placeholders or significant information. Use the model to explain one change you notice while working on rounding integers to significant figures.
Read the rounded answer back at the original scale and count the significant digits again. Write that check beside the final rounding integers to significant figures answer.
First significant figure = first non-zero digit.
Visual / interactive
Highlight each digit from the first non-zero digit and classify zeros as leading placeholders or significant information. Use the model to explain one change you notice while working on rounding integers to significant figures.
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 significant figures — Round 1234 to the nearest 10. Method choice: use the rounding integers to significant figures 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 significant figures — Round 3563 to the nearest 1000. Method choice: use the rounding integers to significant figures 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: Keep place-value zeros needed to show the size of the number.
Given information: Rounding integers to significant figures — Round 5892 to the nearest 100. Method choice: use the rounding integers to significant figures 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 significant figures — Round 8221 to the nearest 10. Method choice: use the rounding integers to significant figures 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.
Read the rounded answer back at the original scale and count the significant digits again. Write that check beside the final rounding integers to significant figures answer.
Create a rounding integers to significant figures 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 digit hunt controls to solve three checked rounding integers to significant figures rounds. Solve at least two of three marked rounds and use feedback to correct any error.
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Rounding integers to significant figures: Significant figures describe the important digits in a value. Read the rounded answer back at the original scale and count the significant digits again. Keep the rounding integers to significant figures representation visible until the final line.
Tap to mark reviewedsignificant figure · first non-zero digit · leading zero · placeholder zero · accuracy · rounding · integers
Tap to mark reviewedLocate the first non-zero digit. Count significant digits from left to right. If rounding, circle the final kept digit. Use the next digit to decide whether to round and keep place-value zeros where needed. Record the check explicitly for rounding integers to significant figures.
Tap to mark reviewedFirst significant figure = first non-zero digit.
Tap to mark reviewedGiven information: Rounding integers to significant figures — Round 1234 to the nearest 10. Method choice: use the rounding integers to significant figures 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 significant figures — Round 3563 to the nearest 1000. Method choice: use the rounding integers to significant figures 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 significant figures — Round 5892 to the nearest 100. Method choice: use the rounding integers to significant figures 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 significant figures — Round 8221 to the nearest 10. Method choice: use the rounding integers to significant figures 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 reviewedCounting leading zeros as significant. This is a key trap when answering rounding integers to significant figures questions.
Tap to mark reviewedFor rounding integers to significant figures, show the key representation before the final calculation. Use this final check: Read the rounded answer back at the original scale and count the significant digits again.
Tap to mark reviewedScientific measurements, Population estimates
Tap to mark reviewedI can explain rounding integers to significant figures, 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 significant figures: Significant figures describe the important digits in a value. Read the rounded answer back at the original scale and count the significant digits again. Keep the rounding integers to significant figures representation visible until the final line.
Think of rounding integers to significant figures as a careful model: make the important values visible, change one thing at a time, and use the check to prove the answer fits.
Start by naming the given information and the exact result required for rounding integers to significant figures.
Locate the first non-zero digit.
Given information: Rounding integers to significant figures — Round 1234 to the nearest 10. Method choice: use the rounding integers to significant figures 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: Locate the first non-zero digit. → Count significant digits from left to right. → If rounding, circle the final kept digit. → Use the next digit to decide whether to round and keep place-value zeros where needed. Record the check explicitly for rounding integers to significant figures.
Counting leading zeros as significant. This is a key trap when answering rounding integers to significant figures questions.
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