Math

QuestionCount the significant figures in the measurement 75.000 m75.000 \mathrm{~m}.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the number of significant figures in the number 75.000 m75.000 \mathrm{~m}. . The rules for significant figures are as follows a. Any non-zero digit is a significant figure. b. Any zeros between significant figures are significant. c. Leading zeros are not significant. d. Trailing zeros are significant if they are after a decimal point.

STEP 2

Identify the non-zero digits in the number. These are all significant.
In 75.000 m75.000 \mathrm{~m}, the non-zero digits are7 and5.

STEP 3

Identify any zeros between significant figures. These are also significant.
In 75.000 m75.000 \mathrm{~m}, there are no zeros between significant figures.

STEP 4

Identify any leading zeros. These are not significant.
In 75.000 m75.000 \mathrm{~m}, there are no leading zeros.

STEP 5

Identify any trailing zeros. These are significant if they are after a decimal point.
In 75.000 m75.000 \mathrm{~m}, there are three trailing zeros after the decimal point.

STEP 6

Add up the number of significant figures from steps2,3 and5.
The total number of significant figures in 75.000 m75.000 \mathrm{~m} is 2(fromstep2)+0(fromstep3)+3(fromstep5)=52 (from\, step\,2) +0 (from\, step\,3) +3 (from\, step\,5) =5.
So, there are5 significant figures in 75.000 m75.000 \mathrm{~m}.

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