QuestionCount the significant figures in the number $1.006 \times 10^{7}$ .

Studdy Solution

STEP 1

Assumptions1. The number is $1.006 \times10^{7}$ . We are asked to find the number of significant figures in this number

STEP 2

First, we need to understand what significant figures are. Significant figures are the digits in a number that carry meaningful information about its precision.

STEP 3

In a number, all non-zero digits are considered significant. For example, in the number123, all the digits (1,2, and3) are significant.

STEP 4

Zeros between non-zero digits are also considered significant. For example, in the number1003, all the digits (1,0,0, and3) are significant.

STEP 5

In the given number $1.006 \times10^{7}$ , we can see that there are no zeros between non-zero digits. So, we can ignore the $10^{7}$ part for now and just focus on the $1.006$ part.

STEP 6

Count the number of significant figures in $1.006$ .
The number $1.006$ has four significant figures1,0,0, and6.

STEP 7

Now, let's consider the $10^{7}$ part. In scientific notation, the exponent of10 does not affect the number of significant figures. So, the number of significant figures in $1.006 \times10^{7}$ is the same as the number of significant figures in $1.006$ .

STEP 8

So, the number $1.006 \times10^{7}$ has four significant figures.
The number $1.006 \times10^{7}$ has4 significant figures.

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QuestionCount the significant figures in the number $1.006 \times 10^{7}$ .

Studdy Solution

STEP 1

Assumptions1. The number is $1.006 \times10^{7}$ . We are asked to find the number of significant figures in this number

STEP 2

First, we need to understand what significant figures are. Significant figures are the digits in a number that carry meaningful information about its precision.

STEP 3

In a number, all non-zero digits are considered significant. For example, in the number123, all the digits (1,2, and3) are significant.

STEP 4

Zeros between non-zero digits are also considered significant. For example, in the number1003, all the digits (1,0,0, and3) are significant.

STEP 5

In the given number $1.006 \times10^{7}$ , we can see that there are no zeros between non-zero digits. So, we can ignore the $10^{7}$ part for now and just focus on the $1.006$ part.

STEP 6

Count the number of significant figures in $1.006$ .
The number $1.006$ has four significant figures1,0,0, and6.

STEP 7

Now, let's consider the $10^{7}$ part. In scientific notation, the exponent of10 does not affect the number of significant figures. So, the number of significant figures in $1.006 \times10^{7}$ is the same as the number of significant figures in $1.006$ .

STEP 8

So, the number $1.006 \times10^{7}$ has four significant figures.
The number $1.006 \times10^{7}$ has4 significant figures.

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QuestionCount the significant figures in the number 1.006×1071.006 \times 10^{7}1.006×107.

Studdy Solution

STEP 1

Assumptions1. The number is 1.006×1071.006 \times10^{7}1.006×107 . We are asked to find the number of significant figures in this number

STEP 2

First, we need to understand what significant figures are. Significant figures are the digits in a number that carry meaningful information about its precision.

STEP 3

In a number, all non-zero digits are considered significant. For example, in the number123, all the digits (1,2, and3) are significant.

STEP 4

Zeros between non-zero digits are also considered significant. For example, in the number1003, all the digits (1,0,0, and3) are significant.

STEP 5

In the given number 1.006×1071.006 \times10^{7}1.006×107, we can see that there are no zeros between non-zero digits. So, we can ignore the 10710^{7}107 part for now and just focus on the 1.0061.0061.006 part.

STEP 6

Count the number of significant figures in 1.0061.0061.006.The number 1.0061.0061.006 has four significant figures1,0,0, and6.

STEP 7

Now, let's consider the 10710^{7}107 part. In scientific notation, the exponent of10 does not affect the number of significant figures. So, the number of significant figures in 1.006×1071.006 \times10^{7}1.006×107 is the same as the number of significant figures in 1.0061.0061.006.

STEP 8

So, the number 1.006×1071.006 \times10^{7}1.006×107 has four significant figures.The number 1.006×1071.006 \times10^{7}1.006×107 has4 significant figures.

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Studdy solves anything!

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

QuestionCount the significant figures in the number $1.006 \times 10^{7}$ .

Assumptions1. The number is $1.006 \times10^{7}$ . We are asked to find the number of significant figures in this number

In the given number $1.006 \times10^{7}$ , we can see that there are no zeros between non-zero digits. So, we can ignore the $10^{7}$ part for now and just focus on the $1.006$ part.

Count the number of significant figures in $1.006$ .
The number $1.006$ has four significant figures1,0,0, and6.

Now, let's consider the $10^{7}$ part. In scientific notation, the exponent of10 does not affect the number of significant figures. So, the number of significant figures in $1.006 \times10^{7}$ is the same as the number of significant figures in $1.006$ .

So, the number $1.006 \times10^{7}$ has four significant figures.
The number $1.006 \times10^{7}$ has4 significant figures.