Math

QuestionCount the significant figures in these measurements: 13.70 L13.70 \mathrm{~L}, 60810000 g60810000 \mathrm{~g}, 1036.48 g1036.48 \mathrm{~g}.

Studdy Solution

STEP 1

Assumptions1. The measured quantities are 13.70 13.70 \mathrm{~}, 60810000 g60810000 \mathrm{~g}, and 1036.48 g1036.48 \mathrm{~g}. . The rules for determining significant figures are as follows a. All non-zero digits are significant. b. Any zeros between significant digits are significant. c. Leading zeros are not significant. d. Trailing zeros are significant only if they are after a decimal point.

STEP 2

First, let's find the number of significant figures in 13.70 13.70 \mathrm{~}. According to the rules, all non-zero digits and zeros between them or after a decimal point are significant.

STEP 3

Count the number of significant figures in 13.70 13.70 \mathrm{~}.
There are four significant figures in 13.70 13.70 \mathrm{~}.

STEP 4

Next, let's find the number of significant figures in 60810000 g60810000 \mathrm{~g}. According to the rules, all non-zero digits and zeros between them are significant. However, trailing zeros without a decimal point are not significant.

STEP 5

Count the number of significant figures in 60810000 g60810000 \mathrm{~g}.
There are five significant figures in 60810000 g60810000 \mathrm{~g}.

STEP 6

Finally, let's find the number of significant figures in 1036.48 g1036.48 \mathrm{~g}. According to the rules, all non-zero digits and zeros between them or after a decimal point are significant.

STEP 7

Count the number of significant figures in 1036.48 g1036.48 \mathrm{~g}.
There are six significant figures in 1036.48 g1036.48 \mathrm{~g}.
So, the number of significant figures in 13.70 13.70 \mathrm{~}, 60810000 g60810000 \mathrm{~g}, and 1036.48 g1036.48 \mathrm{~g} are four, five, and six respectively.

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