# The number 186,000,000,000 in scientific notation. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 3T

(a)

To determine

## To write: The number 186,000,000,000 in scientific notation.

Expert Solution

The scientific notation of number 186,000,000,000 is 1.86×1011.

### Explanation of Solution

The numeric number is 186,000,000,000.

To change the number from decimal to scientific notation move the decimal 11 places to the left of the number.

186,000,000,000=1.86×1011

The positive large number indicates that the decimal point should be moved 11 places to the left to get the compact form of number.

Since the decimal moves to left side, the power of 10 is positive.

The decimal moves to left for 11 places. So, the power of 10 will be 11.

Thus, the scientific notation of number 186,000,000,000 is 1.86×1011.

(b)

To determine

### To write: The number 0.0000003965 in scientific notation.

Expert Solution

The scientific notation of number 0.0000003965 is 3.965×107.

### Explanation of Solution

The numeric number is 0.0000003965.

To change the number in scientific notation move the decimal 7 places to the right of the number.

0.0000003965=3.965×107

The decimal in the above number should be moved 7 places to the right to get the compact form of number.

Since the decimal places moves to right side of the number, the power of 10 will be negative.

The decimal moves 7 places. So, the power of 10 will be 7.

Thus, the scientific notation of number 0.0000003965 is 3.965×107.

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