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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.44 (page 517)

Write in scientific notation:
$鈸� 48, 300 鈸� 0.0129$

Short Answer

Expert verified

The scientific notation of the given number is $4.83 脳 10^{4}$

The scientific notation of the given number is $1.29 脳 10^{- 2}$

Step by step solution

01

Step 1. Given Information

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

$鈸� 48, 300 鈸� 0.0129$

02

Part (a) Step 1. The given number is 48,300

The original number, $48, 300$ , is greater than $1$ so we will have a positive power of .

Move the decimal point to get $4.83$ , a number between 1 and 10.

Count the number of decimal places the point was moved.

The decimal moved $4$ places.

Write as a product with a power of 10.

$4.83 脳 10^{4}$

03

Part (a) Step 2: The scientific notation of the given number is Now checking the notation.4.83×104

Check:

$= 4.83 脳 10^{4} = 4.83 脳 10000 = 48, 300$

04

Part (b) Step 1. The given number is 0.0129

The original number, $0.0129$ , is between 0 and 1 so we will have a negative power of 10.

Move the decimal point to get $1.29$ , a number between 1 and 10.

Count the number of decimal places the point was moved.

The decimal moved $2$ places.

Write as a product with a power of 10.

$1.29 脳 10^{- 2}$

05

Part (b) Step 2: The scientific notation of the given number is 1.29×10-2Now checking the notation.

Check:

$= 1.29 脳 10^{- 2} = 1.29 脳 \frac{1}{10^{2}} = 1.29 脳 \frac{1}{100} = 0.0129$

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