QuestionFind the significant figures in these values: $5.0 \times 10^{-3}$ L, $20.8$ , $99.0$ , $13.70$ , $60,810,000$ g, $1036.48$ g.

Studdy Solution

STEP 1

Assumptions1. We understand what significant figures are. Significant figures are the digits in a number that carry meaningful information about its precision. . We know the rules for determining the number of significant figures in a number. These rules are - All non-zero digits are considered significant. - Any zeros between significant digits are significant. - Leading zeros are not significant. - Trailing zeros in a number containing a decimal point are significant. - Trailing zeros in a number not containing a decimal point are not significant.

STEP 2

Let's determine the number of significant figures in the first measured quantity $5.0 \times10^{-}$ L.According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $5.0$ has two significant figures.

STEP 3

Next, we determine the number of significant figures in the second measured quantity $20.8$ .According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $20.8$ has three significant figures.

STEP 4

Now, we determine the number of significant figures in the third measured quantity $99.0$ .According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $99.0$ has three significant figures.

STEP 5

Next, we determine the number of significant figures in the fourth measured quantity $13.70$ .According to the rules, all non-zero digits, zeros between them, and trailing zeros in a number containing a decimal point are significant. In this case, the number $13.70$ has four significant figures.

STEP 6

Now, we determine the number of significant figures in the fifth measured quantity $60,810,000$ g.According to the rules, all non-zero digits are significant. Trailing zeros in a number not containing a decimal point are not significant. In this case, the number $60,810,000$ has four significant figures.

STEP 7

Finally, we determine the number of significant figures in the sixth measured quantity $1036.48$ g.According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $1036.48$ has six significant figures.
So, the number of significant figures in each of the measured quantities are as follows $5.0 \times10^{-3}$ L has2, $20.$ has3, $99.0$ has3, $13.70$ has4, $60,810,000$ g has4, and $1036.48$ g has6.

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QuestionFind the significant figures in these values: $5.0 \times 10^{-3}$ L, $20.8$ , $99.0$ , $13.70$ , $60,810,000$ g, $1036.48$ g.

Studdy Solution

STEP 1

STEP 2

Let's determine the number of significant figures in the first measured quantity $5.0 \times10^{-}$ L.According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $5.0$ has two significant figures.

STEP 3

Next, we determine the number of significant figures in the second measured quantity $20.8$ .According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $20.8$ has three significant figures.

STEP 4

Now, we determine the number of significant figures in the third measured quantity $99.0$ .According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $99.0$ has three significant figures.

STEP 5

Next, we determine the number of significant figures in the fourth measured quantity $13.70$ .According to the rules, all non-zero digits, zeros between them, and trailing zeros in a number containing a decimal point are significant. In this case, the number $13.70$ has four significant figures.

STEP 6

STEP 7

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QuestionFind the significant figures in these values: 5.0×10−35.0 \times 10^{-3}5.0×10−3 L, 20.820.820.8, 99.099.099.0, 13.7013.7013.70, 60,810,00060,810,00060,810,000 g, 1036.481036.481036.48 g.

Studdy Solution

STEP 1

STEP 2

Let's determine the number of significant figures in the first measured quantity 5.0×10−5.0 \times10^{-}5.0×10− L.According to the rules, all non-zero digits and zeros between them are significant. In this case, the number 5.05.05.0 has two significant figures.

STEP 3

Next, we determine the number of significant figures in the second measured quantity 20.820.820.8.According to the rules, all non-zero digits and zeros between them are significant. In this case, the number 20.820.820.8 has three significant figures.

STEP 4

Now, we determine the number of significant figures in the third measured quantity 99.099.099.0.According to the rules, all non-zero digits and zeros between them are significant. In this case, the number 99.099.099.0 has three significant figures.

STEP 5

STEP 6

STEP 7

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QuestionFind the significant figures in these values: $5.0 \times 10^{-3}$ L, $20.8$ , $99.0$ , $13.70$ , $60,810,000$ g, $1036.48$ g.

Let's determine the number of significant figures in the first measured quantity $5.0 \times10^{-}$ L.According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $5.0$ has two significant figures.

Next, we determine the number of significant figures in the second measured quantity $20.8$ .According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $20.8$ has three significant figures.

Now, we determine the number of significant figures in the third measured quantity $99.0$ .According to the rules, all non-zero digits and zeros between them are significant. In this case, the number $99.0$ has three significant figures.