Problem 34 Change the percent to a decimal.... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 7: Problem 34

Change the percent to a decimal. $$12.9 \%$$

Short Answer

Expert verified

0.129

Step by step solution

Understand the Problem

The goal is to convert the percentage to a decimal. Percent means 'per hundred,' so 12.9% means 12.9 out of 100.

Move the Decimal Point

To convert a percent to a decimal, move the decimal point two places to the left. This is equivalent to dividing by 100.

Perform the Conversion

Moving the decimal point two places to the left, 12.9% becomes 0.129.

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Key Concepts

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

converting percentages

To convert percentages into decimals involves understanding what a percentage represents.
The term 'percent' literally means 'per hundred.'
Therefore, 12.9% translates to 12.9 out of 100.
This conversion is fundamental since percentages are often used to express proportions and can be readily converted into decimal form for various mathematical operations.
It鈥檚 a simplified way to represent part of a whole in decimal form, thereby making calculations easier and more consistent.

decimal point movement

A key step in converting a percentage to a decimal involves moving the decimal point.
When you move the decimal point two places to the left, it essentially divides the number by 100.

Here is a simple way to remember this:

Imagine the decimal point is at the end of the number if it鈥檚 a whole number. For example, 12.9% can be imagined as 12.90.
Next, move the decimal point two spaces to the left to convert it into a decimal. So, it moves from 12.90 to 0.129.
This position change reduces the percentage to a decimal format accurately.

This method ensures accuracy and consistency in conversions.

basic arithmetic instructions

Basic arithmetic instructions help in understanding the mechanics of decimal conversion.
The most critical part is recognizing that moving the decimal point two places to the left divides the number by 100, which is essentially what the 'percent' indicates.
Let鈥檚 break down the steps:

First, write down the percentage. For example, 12.9%.
Then, identify the current position of the decimal point.
Move it two places to the left, ensuring you change the number's position accordingly.

For 12.9%, you initially have 12.9. After moving the decimal two places left, you get 0.129.
This simple technique effectively and quickly converts percentages into decimals, which is crucial for clear and precise mathematical computations.

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91影视

Change the percent to a decimal. $$12.9 \%$$

Short Answer

Step by step solution

Understand the Problem

Move the Decimal Point

Perform the Conversion

Key Concepts

converting percentages

decimal point movement

basic arithmetic instructions

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