How many significant figures are in 1.00 × 10^2?
Three significant figures.
Scientific notation shows which digits are meaningful, so one point zero zero times ten to the two has three significant figures because every digit shown in the coefficient counts. Think of the coefficient one point zero zero as the number that tells you the measured digits, and the ten to the two just moves the decimal place without adding or removing significance. When you write measurements, the digits in the coefficient are the ones that reflect precision, so one point zero zero explicitly shows three digits that are considered reliable. That is why one hundred written as one point zero zero times ten to the two is different from writing one hundred with no decimal or zeros.
Students often drop trailing zeros when they write numbers and then mistakenly lose significant figures, so do not erase zeros that were measured or shown intentionally because that changes the precision; write the number in scientific notation if you want to be clear. Another common mistake is counting the exponent or the ten to the power as significant, but only the digits in the coefficient count, so ignore the exponent when counting significant figures. A quick fix is to always convert numbers to scientific notation when you are unsure because the coefficient will show exactly how many significant figures there are.
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How many significant figures in 1.00 × 10^2?
- Scientific notation shows meaningful digits
- Coefficient equals measured digits
- Ten to the power moves decimal
- Coefficient reflects precision
- 1.00 shows three reliable digits
Common mistakes with significant figures
- Dropping trailing zeros and losing precision
- Counting exponent as a significant digit
- Writing numbers without scientific notation clarity
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