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How many digits in the following measured values are significant?

a. 0.017 m
b. 808.9 kg
c. 1264.2 L
d. 280 cg
e. 3240.0 mm

User Evan Byrne
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1 Answer

7 votes

Final answer:

Significant figures are all non-zero digits, zeros between non-zero digits, and zeros at the end of a number with a decimal point. Leading zeros are not significant. The measurements given have 2, 4, 5, 3, and 5 significant figures respectively.

Step-by-step explanation:

Determining the number of significant figures in measurements is crucial for understanding precision in scientific calculations. The rules for identifying significant figures include noting all non-zero digits as significant, and for numbers with decimals, zeros within or at the end of the number (after a non-zero digit) are significant.

  1. 0.017 m: In this case, the two leading zeros are not significant. Only the '1' and '7' are significant, yielding 2 significant figures.
  2. 808.9 kg: All these digits are significant, since they're either non-zero digits or a final digit after the decimal again indicating precision. This gives us 4 significant figures.
  3. 1264.2 L: Here, all digits are significant because there are no leading or trailing zeros just to indicate position. We have 5 significant figures.
  4. 280 cg: This is slightly trickier since it might look like the zero is just a placeholder, but it actually denotes precision in the hundred's place. It counts as significant, so we have 3 significant figures.
  5. 3240.0 mm: The zeros are after a decimal and are therefore significant. This measurement has 5 significant figures.

User Pate
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