/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 58 Divide by the powers of 10. $$... [FREE SOLUTION] | 91影视

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Chapter 5: Problem 58

Divide by the powers of 10. $$-0.665 \div(-100)$$

Short Answer

Expert verified
0.00665

Step by step solution

01

Understand the Problem

The goal is to divide (-0.665) by -100. Understand that dividing by a power of 10 involves moving the decimal point.
02

Simplify the Signs

Since both -0.665 and -100 are negative, their division results in a positive number. So, (-0.665) 梅 (-100) is equivalent to 0.665 梅 100.
03

Dividing by 100

Dividing by 100 means moving the decimal point two places to the left. Thus, 0.665 梅 100 is 0.00665.
04

Confirm the Answer

Check the final result to ensure all calculations are correct. The answer is indeed 0.00665.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

division
Division is one of the four basic arithmetic operations. It involves splitting a number into equal parts. For example, if you have 10 candies and want to share them among 2 friends, each friend will get 5 candies. Dividing numbers can sometimes be challenging, especially when working with decimals or negative numbers. In our exercise, we are asked to divide -0.665 by -100.
powers of 10
A power of 10 is any of the integer powers of the number ten; in other words, ten multiplied by itself a certain number of times. For example, 10^2 (10 squared) is 100, and 10^3 (10 cubed) is 1,000. When dividing by powers of 10, you move the decimal point to the left by as many places as the power of 10. In our exercise, since 100 is 10^2, we will move the decimal point two places to the left.
simplifying signs
When dealing with division and negative numbers, it鈥檚 crucial to simplify the signs first. Two negative numbers divided by each other yield a positive result. This is because a negative divided by a negative cancels out the negative. In our problem: -0.665 梅 -100 becomes 0.665 梅 100.
decimal point movement
Moving the decimal point is essential when dividing by powers of 10. The rule is simple: for every zero in the power of 10, move the decimal point one place to the left. For instance, dividing by 10 (10^1) moves the decimal one place to the left. Dividing by 100 (10^2) moves it two places. In our problem, 0.665 梅 100 involves moving the decimal two places to the left, resulting in 0.00665.

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