🏰 Number Kingdom · Significant figures
Identify exactly how many significant figures are present in whole numbers and decimals. In this lesson, focus on significant figures describe the important digits in a value.
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Level 1 · Apprentice0 / 100 XP
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Identify exactly how many significant figures are present in whole numbers and decimals. 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 identifying significant figures, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.
Identifying 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 identifying 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 identifying significant figures.
Read the rounded answer back at the original scale and count the significant digits again. Write that check beside the final identifying 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 identifying 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: Identifying significant figures — Count the significant figures in 0.00408. Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: Start at the first non-zero digit and count every digit after it that records precision. 0.00408 has 3 significant figures. Final answer: 3. Check: substitute or compare with the original information to confirm the result fits the question.
Given information: Identifying significant figures — Does 12.030 contain a zero between significant digits? Answer yes or no. Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: A zero sits between non-zero significant digits, so it must be counted. Final answer: yes. 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: Identifying significant figures — Write the number of significant figures shown by the measurement 20.05. Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: The written measurement records 4 significant figures because counting begins at the first non-zero digit. Final answer: 4. 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: Identifying significant figures — Which digit is the first significant figure in 0.00073? Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: Ignore placeholder zeros before the first non-zero digit. The first significant digit is 7. Final answer: 7. 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 identifying significant figures answer.
Create a identifying 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 identifying significant figures rounds. Solve at least two of three marked rounds and use feedback to correct any error.
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Identifying 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 identifying significant figures representation visible until the final line.
Tap to mark reviewedsignificant figure · first non-zero digit · leading zero · placeholder zero · accuracy · identifying · significant
Tap to mark reviewedIgnore placeholder zeros before the first non-zero digit. Start counting at the first non-zero digit. Include trapped zeros and decimal trailing zeros that record precision. Count once more from left to right to check the total.
Tap to mark reviewedFirst significant figure = first non-zero digit.
Tap to mark reviewedGiven information: Identifying significant figures — Count the significant figures in 0.00408. Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: Start at the first non-zero digit and count every digit after it that records precision. 0.00408 has 3 significant figures. Final answer: 3. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Identifying significant figures — Does 12.030 contain a zero between significant digits? Answer yes or no. Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: A zero sits between non-zero significant digits, so it must be counted. Final answer: yes. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Identifying significant figures — Write the number of significant figures shown by the measurement 20.05. Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: The written measurement records 4 significant figures because counting begins at the first non-zero digit. Final answer: 4. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: Identifying significant figures — Which digit is the first significant figure in 0.00073? Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: Ignore placeholder zeros before the first non-zero digit. The first significant digit is 7. Final answer: 7. 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 identifying significant figures questions.
Tap to mark reviewedFor identifying 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 identifying 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.
Identifying 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 identifying significant figures representation visible until the final line.
Think of identifying 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.
Leading zeros position the decimal point but are not significant.
A zero between non-zero digits is significant.
Given information: Identifying significant figures — Count the significant figures in 0.00408. Method choice: use the identifying significant figures method and show each step with the stated values. Calculation or reasoning: Start at the first non-zero digit and count every digit after it that records precision. 0.00408 has 3 significant figures. Final answer: 3. Check: substitute or compare with the original information to confirm the result fits the question.
Method: Ignore placeholder zeros before the first non-zero digit. → Start counting at the first non-zero digit. → Include trapped zeros and decimal trailing zeros that record precision. → Count once more from left to right to check the total.
Counting leading zeros as significant. This is a key trap when answering identifying significant figures questions.
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