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Chapter 5: Q. 5.43 (page 517)

Write in scientific notation:

鈸�96,000鈸�0.0078

Short Answer

Expert verified

The scientific notation of the given number9.6脳104

The scientific notation of the given number7.8脳10-3

Step by step solution

01

Step 1. Given Information

In the given question we have to write in scientific notation:

鈸�96,000鈸�0.0078

02

Part (a) Step 1. The given number is 96,000

The original number, 96,000, is greater than 1so we will have a positive power of 10.

Move the decimal point to get 9.6, a number between 1 and 10.

Count the number of decimal places the point was moved.

The number moved4places.

Write as a product with a power of 10.

9.6脳104

03

Part (a) Step 2: The scientific notation of the given number is 9.6×104.Now checking the notation.

Check:

=9.6脳104=9.6脳10000=96000
04

Part (b) Step 1. The given number is 0.0078

The original number, 0.0078, is between 0 and 1 so we will have a negative power of 10.

Move the decimal point to get 7.8, a number between 1 and 10.

Count the number of decimal places the point was moved.

The decimal moved3places.

Write as a product with a power of 10.

7.8脳10-3

05

Part (b) Step 2: The scientific notation of the given number is 7.8×10-3Now checking the notation.

Check:

=7.8脳10-3=7.8脳1103=7.8脳11000=7.8脳0.001=0.0078

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