Math Review Convert the following numbers to scientific notation. (a) 568 017 (b) 0.000 309

Question

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Answer 1

Textbook Question

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Chapter 1, Problem 1WUE

Math Review Convert the following numbers to scientific notation. (a) 568 017 (b) 0.000 309

(a)

Expert Solution

To determine

Convert the number 568017 into scientific notation.

Answer to Problem 1WUE

The number 568017 is notated scientifically as 5.68017×105 .

Explanation of Solution

Given info:

The number is 568017.

Scientific notation is used to convert a very large number to a small number. The scientific notation consist of a decimal number with one decimal to the left, which is multiplied by ten with a power greater than or less than one. The power of ten is decide by how many decimal places are shifted to get the small number.

The number is 568017. The number should be divided by ten five times to get a smaller number with one decimal to the left. Thus, the power of ten will be five after the number converted to scientific notation. Thus, the number in scientific notation is 5.68017×105 .

Conclusion:

The number 568017 is notated scientifically as 5.68017×105 .

(b)

Expert Solution

To determine

Convert the number 0.000309 into scientific notation.

Answer to Problem 1WUE

The 0.000309 is notated scientifically as 3.09×10−4

Explanation of Solution

Given info:

The number is 0.000309.

Very small numbers can be represented using scientific notation. When a huge number is representing using a scientific notation. It should be divided by ten. Each time the number divided by ten, the decimal shifts one point to the left.

When a small number is represented using scientific notation, the number is multiplied by ten until the number changes as a decimal number with one point left to the decimal. The power of ten will be negative with a number how many times the number multiplied.

The number is 0.000309. The number should be multiplied by ten four times to get a decimal number with one decimal to the left. Thus, the power of ten will be negative four after the number converted to scientific notation. Thus, the number in scientific notation is 3.09×10−4 .

Conclusion:

The 0.000309 is notated scientifically as 3.09×10−4

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Answer 2

Textbook Question

100%

Chapter 1, Problem 1WUE

Math Review Convert the following numbers to scientific notation. (a) 568 017 (b) 0.000 309

(a)

Expert Solution

To determine

Convert the number 568017 into scientific notation.

Answer to Problem 1WUE

The number 568017 is notated scientifically as 5.68017×105 .

Explanation of Solution

Given info:

The number is 568017.

Scientific notation is used to convert a very large number to a small number. The scientific notation consist of a decimal number with one decimal to the left, which is multiplied by ten with a power greater than or less than one. The power of ten is decide by how many decimal places are shifted to get the small number.

The number is 568017. The number should be divided by ten five times to get a smaller number with one decimal to the left. Thus, the power of ten will be five after the number converted to scientific notation. Thus, the number in scientific notation is 5.68017×105 .

Conclusion:

The number 568017 is notated scientifically as 5.68017×105 .

(b)

Expert Solution

To determine

Convert the number 0.000309 into scientific notation.

Answer to Problem 1WUE

The 0.000309 is notated scientifically as 3.09×10−4

Explanation of Solution

Given info:

The number is 0.000309.

Very small numbers can be represented using scientific notation. When a huge number is representing using a scientific notation. It should be divided by ten. Each time the number divided by ten, the decimal shifts one point to the left.

When a small number is represented using scientific notation, the number is multiplied by ten until the number changes as a decimal number with one point left to the decimal. The power of ten will be negative with a number how many times the number multiplied.

The number is 0.000309. The number should be multiplied by ten four times to get a decimal number with one decimal to the left. Thus, the power of ten will be negative four after the number converted to scientific notation. Thus, the number in scientific notation is 3.09×10−4 .

Conclusion:

The 0.000309 is notated scientifically as 3.09×10−4

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Answer 3

Textbook Question

100%

Chapter 1, Problem 1WUE

Math Review Convert the following numbers to scientific notation. (a) 568 017 (b) 0.000 309

(a)

Expert Solution

To determine

Convert the number 568017 into scientific notation.

Answer to Problem 1WUE

The number 568017 is notated scientifically as 5.68017×105 .

Explanation of Solution

Given info:

The number is 568017.

Scientific notation is used to convert a very large number to a small number. The scientific notation consist of a decimal number with one decimal to the left, which is multiplied by ten with a power greater than or less than one. The power of ten is decide by how many decimal places are shifted to get the small number.

The number is 568017. The number should be divided by ten five times to get a smaller number with one decimal to the left. Thus, the power of ten will be five after the number converted to scientific notation. Thus, the number in scientific notation is 5.68017×105 .

Conclusion:

The number 568017 is notated scientifically as 5.68017×105 .

(b)

Expert Solution

To determine

Convert the number 0.000309 into scientific notation.

Answer to Problem 1WUE

The 0.000309 is notated scientifically as 3.09×10−4

Explanation of Solution

Given info:

The number is 0.000309.

Very small numbers can be represented using scientific notation. When a huge number is representing using a scientific notation. It should be divided by ten. Each time the number divided by ten, the decimal shifts one point to the left.

When a small number is represented using scientific notation, the number is multiplied by ten until the number changes as a decimal number with one point left to the decimal. The power of ten will be negative with a number how many times the number multiplied.

The number is 0.000309. The number should be multiplied by ten four times to get a decimal number with one decimal to the left. Thus, the power of ten will be negative four after the number converted to scientific notation. Thus, the number in scientific notation is 3.09×10−4 .

Conclusion:

The 0.000309 is notated scientifically as 3.09×10−4

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Answer 4

Textbook Question

100%

Chapter 1, Problem 1WUE

Math Review Convert the following numbers to scientific notation. (a) 568 017 (b) 0.000 309

(a)

Expert Solution

To determine

Convert the number 568017 into scientific notation.

Answer to Problem 1WUE

The number 568017 is notated scientifically as 5.68017×105 .

Explanation of Solution

Given info:

The number is 568017.

Scientific notation is used to convert a very large number to a small number. The scientific notation consist of a decimal number with one decimal to the left, which is multiplied by ten with a power greater than or less than one. The power of ten is decide by how many decimal places are shifted to get the small number.

The number is 568017. The number should be divided by ten five times to get a smaller number with one decimal to the left. Thus, the power of ten will be five after the number converted to scientific notation. Thus, the number in scientific notation is 5.68017×105 .

Conclusion:

The number 568017 is notated scientifically as 5.68017×105 .

(b)

Expert Solution

To determine

Convert the number 0.000309 into scientific notation.

Answer to Problem 1WUE

The 0.000309 is notated scientifically as 3.09×10−4

Explanation of Solution

Given info:

The number is 0.000309.

Very small numbers can be represented using scientific notation. When a huge number is representing using a scientific notation. It should be divided by ten. Each time the number divided by ten, the decimal shifts one point to the left.

When a small number is represented using scientific notation, the number is multiplied by ten until the number changes as a decimal number with one point left to the decimal. The power of ten will be negative with a number how many times the number multiplied.

The number is 0.000309. The number should be multiplied by ten four times to get a decimal number with one decimal to the left. Thus, the power of ten will be negative four after the number converted to scientific notation. Thus, the number in scientific notation is 3.09×10−4 .

Conclusion:

The 0.000309 is notated scientifically as 3.09×10−4

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Answer 5

Textbook Question

100%

Answer 6

Textbook Question

100%

Answer 7

(a)

Expert Solution

To determine

Convert the number 568017 into scientific notation.

Answer to Problem 1WUE

The number 568017 is notated scientifically as 5.68017×105 .

Explanation of Solution

Given info:

The number is 568017.

Scientific notation is used to convert a very large number to a small number. The scientific notation consist of a decimal number with one decimal to the left, which is multiplied by ten with a power greater than or less than one. The power of ten is decide by how many decimal places are shifted to get the small number.

The number is 568017. The number should be divided by ten five times to get a smaller number with one decimal to the left. Thus, the power of ten will be five after the number converted to scientific notation. Thus, the number in scientific notation is 5.68017×105 .

Conclusion:

The number 568017 is notated scientifically as 5.68017×105 .

(b)

Expert Solution

To determine

Convert the number 0.000309 into scientific notation.

Answer to Problem 1WUE

The 0.000309 is notated scientifically as 3.09×10−4

Explanation of Solution

Given info:

The number is 0.000309.

Very small numbers can be represented using scientific notation. When a huge number is representing using a scientific notation. It should be divided by ten. Each time the number divided by ten, the decimal shifts one point to the left.

When a small number is represented using scientific notation, the number is multiplied by ten until the number changes as a decimal number with one point left to the decimal. The power of ten will be negative with a number how many times the number multiplied.

The number is 0.000309. The number should be multiplied by ten four times to get a decimal number with one decimal to the left. Thus, the power of ten will be negative four after the number converted to scientific notation. Thus, the number in scientific notation is 3.09×10−4 .

Conclusion:

The 0.000309 is notated scientifically as 3.09×10−4

Answer 8

(a)

Expert Solution

To determine

Convert the number 568017 into scientific notation.

Answer to Problem 1WUE

The number 568017 is notated scientifically as 5.68017×105 .

Explanation of Solution

Given info:

The number is 568017.

Scientific notation is used to convert a very large number to a small number. The scientific notation consist of a decimal number with one decimal to the left, which is multiplied by ten with a power greater than or less than one. The power of ten is decide by how many decimal places are shifted to get the small number.

The number is 568017. The number should be divided by ten five times to get a smaller number with one decimal to the left. Thus, the power of ten will be five after the number converted to scientific notation. Thus, the number in scientific notation is 5.68017×105 .

Conclusion:

The number 568017 is notated scientifically as 5.68017×105 .

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Convert the number 568017 into scientific notation.

Answer 13

Answer to Problem 1WUE

The number 568017 is notated scientifically as 5.68017×105 .

Answer 14

Explanation of Solution

Given info:

The number is 568017.

Scientific notation is used to convert a very large number to a small number. The scientific notation consist of a decimal number with one decimal to the left, which is multiplied by ten with a power greater than or less than one. The power of ten is decide by how many decimal places are shifted to get the small number.

The number is 568017. The number should be divided by ten five times to get a smaller number with one decimal to the left. Thus, the power of ten will be five after the number converted to scientific notation. Thus, the number in scientific notation is 5.68017×105 .

Conclusion:

The number 568017 is notated scientifically as 5.68017×105 .

Answer 15

(b)

Expert Solution

To determine

Convert the number 0.000309 into scientific notation.

Answer to Problem 1WUE

The 0.000309 is notated scientifically as 3.09×10−4

Explanation of Solution

Given info:

The number is 0.000309.

Very small numbers can be represented using scientific notation. When a huge number is representing using a scientific notation. It should be divided by ten. Each time the number divided by ten, the decimal shifts one point to the left.

When a small number is represented using scientific notation, the number is multiplied by ten until the number changes as a decimal number with one point left to the decimal. The power of ten will be negative with a number how many times the number multiplied.

The number is 0.000309. The number should be multiplied by ten four times to get a decimal number with one decimal to the left. Thus, the power of ten will be negative four after the number converted to scientific notation. Thus, the number in scientific notation is 3.09×10−4 .

Conclusion:

The 0.000309 is notated scientifically as 3.09×10−4

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

Convert the number 0.000309 into scientific notation.

Answer 20

Answer to Problem 1WUE

The 0.000309 is notated scientifically as 3.09×10−4

Answer 21

Explanation of Solution

Given info:

The number is 0.000309.

Very small numbers can be represented using scientific notation. When a huge number is representing using a scientific notation. It should be divided by ten. Each time the number divided by ten, the decimal shifts one point to the left.

When a small number is represented using scientific notation, the number is multiplied by ten until the number changes as a decimal number with one point left to the decimal. The power of ten will be negative with a number how many times the number multiplied.

The number is 0.000309. The number should be multiplied by ten four times to get a decimal number with one decimal to the left. Thus, the power of ten will be negative four after the number converted to scientific notation. Thus, the number in scientific notation is 3.09×10−4 .

Conclusion:

The 0.000309 is notated scientifically as 3.09×10−4