Write each number in scientific notation. a. 760 , 000 b. 0.00035

Question

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Answer 1

Textbook Question

Chapter C, Problem 1P

Write each number in scientific notation.

a. 760 , 000

b. 0.00035

Expert Solution

To determine

(a)

To write:

The number 760, 000 in scientific notation

Answer to Problem 1P

Solution:

760, 000=7.6×105

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

3. Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 760, 000

The original number is greater than 10. So, move the decimal point until the number is between 1 and 10. Since we move 5 decimal places, 5 becomes the exponent of 10.

760, 000=7.6×105

Thus, 760, 000=7.6×105.

Final statement:

Therefore, the scientific notation of 760, 000=7.6×105.

Expert Solution

To determine

(b)

To write:

The number 0.00035 in scientific notation

Answer to Problem 1P

Solution:

0.00035=3.5×10-4

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 0.00035

The original number is less than 10. So, move the decimal point until the number is between 1 and 10. Since we move 4 decimal places, -4 becomes the exponent of 10.

0.00035=3.5×10-4

Thus, 0.00035=3.5×10-4.

Final statement:

Therefore, the scientific notation of 0.00035=3.5×10-4.

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Answer 2

Textbook Question

Chapter C, Problem 1P

Write each number in scientific notation.

a. 760 , 000

b. 0.00035

Expert Solution

To determine

(a)

To write:

The number 760, 000 in scientific notation

Answer to Problem 1P

Solution:

760, 000=7.6×105

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

3. Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 760, 000

The original number is greater than 10. So, move the decimal point until the number is between 1 and 10. Since we move 5 decimal places, 5 becomes the exponent of 10.

760, 000=7.6×105

Thus, 760, 000=7.6×105.

Final statement:

Therefore, the scientific notation of 760, 000=7.6×105.

Expert Solution

To determine

(b)

To write:

The number 0.00035 in scientific notation

Answer to Problem 1P

Solution:

0.00035=3.5×10-4

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 0.00035

The original number is less than 10. So, move the decimal point until the number is between 1 and 10. Since we move 4 decimal places, -4 becomes the exponent of 10.

0.00035=3.5×10-4

Thus, 0.00035=3.5×10-4.

Final statement:

Therefore, the scientific notation of 0.00035=3.5×10-4.

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Answer 3

Textbook Question

Chapter C, Problem 1P

Write each number in scientific notation.

a. 760 , 000

b. 0.00035

Expert Solution

To determine

(a)

To write:

The number 760, 000 in scientific notation

Answer to Problem 1P

Solution:

760, 000=7.6×105

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

3. Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 760, 000

The original number is greater than 10. So, move the decimal point until the number is between 1 and 10. Since we move 5 decimal places, 5 becomes the exponent of 10.

760, 000=7.6×105

Thus, 760, 000=7.6×105.

Final statement:

Therefore, the scientific notation of 760, 000=7.6×105.

Expert Solution

To determine

(b)

To write:

The number 0.00035 in scientific notation

Answer to Problem 1P

Solution:

0.00035=3.5×10-4

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 0.00035

The original number is less than 10. So, move the decimal point until the number is between 1 and 10. Since we move 4 decimal places, -4 becomes the exponent of 10.

0.00035=3.5×10-4

Thus, 0.00035=3.5×10-4.

Final statement:

Therefore, the scientific notation of 0.00035=3.5×10-4.

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Answer 4

Textbook Question

Chapter C, Problem 1P

Write each number in scientific notation.

a. 760 , 000

b. 0.00035

Expert Solution

To determine

(a)

To write:

The number 760, 000 in scientific notation

Answer to Problem 1P

Solution:

760, 000=7.6×105

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

3. Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 760, 000

The original number is greater than 10. So, move the decimal point until the number is between 1 and 10. Since we move 5 decimal places, 5 becomes the exponent of 10.

760, 000=7.6×105

Thus, 760, 000=7.6×105.

Final statement:

Therefore, the scientific notation of 760, 000=7.6×105.

Expert Solution

To determine

(b)

To write:

The number 0.00035 in scientific notation

Answer to Problem 1P

Solution:

0.00035=3.5×10-4

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 0.00035

The original number is less than 10. So, move the decimal point until the number is between 1 and 10. Since we move 4 decimal places, -4 becomes the exponent of 10.

0.00035=3.5×10-4

Thus, 0.00035=3.5×10-4.

Final statement:

Therefore, the scientific notation of 0.00035=3.5×10-4.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

(a)

To write:

The number 760, 000 in scientific notation

Answer to Problem 1P

Solution:

760, 000=7.6×105

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

3. Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 760, 000

The original number is greater than 10. So, move the decimal point until the number is between 1 and 10. Since we move 5 decimal places, 5 becomes the exponent of 10.

760, 000=7.6×105

Thus, 760, 000=7.6×105.

Final statement:

Therefore, the scientific notation of 760, 000=7.6×105.

Expert Solution

To determine

(b)

To write:

The number 0.00035 in scientific notation

Answer to Problem 1P

Solution:

0.00035=3.5×10-4

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 0.00035

The original number is less than 10. So, move the decimal point until the number is between 1 and 10. Since we move 4 decimal places, -4 becomes the exponent of 10.

0.00035=3.5×10-4

Thus, 0.00035=3.5×10-4.

Final statement:

Therefore, the scientific notation of 0.00035=3.5×10-4.

Answer 8

Expert Solution

To determine

(a)

To write:

The number 760, 000 in scientific notation

Answer to Problem 1P

Solution:

760, 000=7.6×105

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

3. Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 760, 000

The original number is greater than 10. So, move the decimal point until the number is between 1 and 10. Since we move 5 decimal places, 5 becomes the exponent of 10.

760, 000=7.6×105

Thus, 760, 000=7.6×105.

Final statement:

Therefore, the scientific notation of 760, 000=7.6×105.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

(a)

To write:

The number 760, 000 in scientific notation

Answer 13

Answer to Problem 1P

Solution:

760, 000=7.6×105

Answer 14

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

3. Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 760, 000

The original number is greater than 10. So, move the decimal point until the number is between 1 and 10. Since we move 5 decimal places, 5 becomes the exponent of 10.

760, 000=7.6×105

Thus, 760, 000=7.6×105.

Final statement:

Therefore, the scientific notation of 760, 000=7.6×105.

Answer 15

Expert Solution

To determine

(b)

To write:

The number 0.00035 in scientific notation

Answer to Problem 1P

Solution:

0.00035=3.5×10-4

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 0.00035

The original number is less than 10. So, move the decimal point until the number is between 1 and 10. Since we move 4 decimal places, -4 becomes the exponent of 10.

0.00035=3.5×10-4

Thus, 0.00035=3.5×10-4.

Final statement:

Therefore, the scientific notation of 0.00035=3.5×10-4.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

(b)

To write:

The number 0.00035 in scientific notation

Answer 20

Answer to Problem 1P

Solution:

0.00035=3.5×10-4

Answer 21

Explanation of Solution

Approach:

To write a number in scientific notation:

1. Move the decimal point in the original number so that the new number has a value between 1 and 10.

2. Count the number of decimal places the decimal point is moved in the step-1. If the original number is 10 or greater, the count is positive. If the original number is less than 1, the count is negative.

Multiply the new number in step-1 by 10 raised to an exponent equal to the count found in step-2.

Calculation:

Given number: 0.00035

The original number is less than 10. So, move the decimal point until the number is between 1 and 10. Since we move 4 decimal places, -4 becomes the exponent of 10.

0.00035=3.5×10-4

Thus, 0.00035=3.5×10-4.

Final statement:

Therefore, the scientific notation of 0.00035=3.5×10-4.