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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q. 782 (page 806)

In the following exercises, simplify, and write your answer in decimal form.
$\frac{8.4 脳 10^{- 3}}{4 脳 10^{3}}$ .

Short Answer

Expert verified

The simplified form of $\frac{8.4 脳 10^{- 3}}{4 脳 10^{3}}$ is, $0.0000021$ .

Step by step solution

01

Step 1. Given information

$\frac{8.4 脳 10^{- 3}}{4 脳 10^{3}}$ .

We need to simplify the given expression.

02

Step 2. Separate the factors and rewrite as the product of two fractions.

$\frac{8.4 脳 10^{- 3}}{4 脳 10^{3}} = \frac{8.4}{4} 脳 \frac{10^{- 3}}{10^{3}}$ .

Divide it.

$\frac{8.4}{4} 脳 \frac{10^{- 3}}{10^{3}} = 2.1 脳 10^{- 3 - 3} = 2.1 脳 10^{- 6}$

Change to decimal form by moving the decimal six places left.

2.1 脳 10^{- 6} = 0.0000021

.

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