Rounding Math Example 2
Follow the full solution, then compare it with the other examples linked below.
Example 2
mediumRound to significant figures. Then round to significant figures.
Solution
- 1 Recall: significant figures are counted from the first non-zero digit; leading zeros do not count.
- 2 For to significant figures: the significant digits are ; the next digit is , so round up the last kept digit: .
- 3 For to significant figures: leading zeros are not significant. The significant digits are ; the next digit is , so round up the to : .
Answer
;
Significant figures count from the first non-zero digit. Leading zeros are never significant โ they just locate the decimal point. Rounding to significant figures rather than decimal places is more appropriate for measurements of varying magnitude.
About Rounding
Replacing a number with a nearby simpler approximation at a specified place value, using the digit to the right to decide.
Learn more about Rounding โ