QuestionHow many significant figures are in the measurement $5.0 \times 10^{-3}$ ?

Studdy Solution

STEP 1

Assumptions1. The measured quantity is $5.0 \times10^{-3}$ . . We need to determine the number of significant figures in this quantity.

STEP 2

First, we need to understand what significant figures are. Significant figures in a number are digits that carry meaningful information about its precision. This includes all non-zero numbers, zeros between non-zero numbers, and zeros indicating the decimal places.

STEP 3

In the given quantity, $5.0 \times10^{-3}$ , we can ignore the $10^{-3}$ part for now because in scientific notation, the exponent of10 does not count towards the significant figures.

STEP 4

Now, we look at the number $.0$ . Here, both the and the0 after the decimal point are significant. The is significant because all non-zero numbers are significant. The0 is significant because it is a zero indicating a decimal place.

STEP 5

Count the number of significant figures in $5.0$ .
The number of significant figures in $5.0$ is2.
Thus, the measured quantity $5.0 \times10^{-3}$ has2 significant figures.

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QuestionHow many significant figures are in the measurement $5.0 \times 10^{-3}$ ?

Studdy Solution

STEP 1

Assumptions1. The measured quantity is $5.0 \times10^{-3}$ . . We need to determine the number of significant figures in this quantity.

STEP 2

First, we need to understand what significant figures are. Significant figures in a number are digits that carry meaningful information about its precision. This includes all non-zero numbers, zeros between non-zero numbers, and zeros indicating the decimal places.

STEP 3

In the given quantity, $5.0 \times10^{-3}$ , we can ignore the $10^{-3}$ part for now because in scientific notation, the exponent of10 does not count towards the significant figures.

STEP 4

Now, we look at the number $.0$ . Here, both the and the0 after the decimal point are significant. The is significant because all non-zero numbers are significant. The0 is significant because it is a zero indicating a decimal place.

STEP 5

Count the number of significant figures in $5.0$ .
The number of significant figures in $5.0$ is2.
Thus, the measured quantity $5.0 \times10^{-3}$ has2 significant figures.

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QuestionHow many significant figures are in the measurement 5.0×10−35.0 \times 10^{-3}5.0×10−3?

Studdy Solution

STEP 1

Assumptions1. The measured quantity is 5.0×10−35.0 \times10^{-3}5.0×10−3. . We need to determine the number of significant figures in this quantity.

STEP 2

First, we need to understand what significant figures are. Significant figures in a number are digits that carry meaningful information about its precision. This includes all non-zero numbers, zeros between non-zero numbers, and zeros indicating the decimal places.

STEP 3

In the given quantity, 5.0×10−35.0 \times10^{-3}5.0×10−3, we can ignore the 10−310^{-3}10−3 part for now because in scientific notation, the exponent of10 does not count towards the significant figures.

STEP 4

Now, we look at the number .0.0.0. Here, both the and the0 after the decimal point are significant. The is significant because all non-zero numbers are significant. The0 is significant because it is a zero indicating a decimal place.

STEP 5

Count the number of significant figures in 5.05.05.0.The number of significant figures in 5.05.05.0 is2.Thus, the measured quantity 5.0×10−35.0 \times10^{-3}5.0×10−3 has2 significant figures.

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionHow many significant figures are in the measurement $5.0 \times 10^{-3}$ ?

Assumptions1. The measured quantity is $5.0 \times10^{-3}$ . . We need to determine the number of significant figures in this quantity.

In the given quantity, $5.0 \times10^{-3}$ , we can ignore the $10^{-3}$ part for now because in scientific notation, the exponent of10 does not count towards the significant figures.

Now, we look at the number $.0$ . Here, both the and the0 after the decimal point are significant. The is significant because all non-zero numbers are significant. The0 is significant because it is a zero indicating a decimal place.

Count the number of significant figures in $5.0$ .
The number of significant figures in $5.0$ is2.
Thus, the measured quantity $5.0 \times10^{-3}$ has2 significant figures.