Problem 20 Convert to decimal notation. $... [FREE SOLUTION]

Chapter 2: Problem 20

Convert to decimal notation. $$ 39.81 \% $$

Short Answer

Expert verified

0.3981

Step by step solution

Understand the Problem

The goal is to convert 39.81% to decimal notation. Percentage (%) means per one hundred, so 39.81% is equivalent to 39.81 out of 100.

Divide by 100

To convert from a percentage to a decimal, you divide by 100. Mathematically, this means moving the decimal point two places to the left.

Move the Decimal Point

Move the decimal point in 39.81 two places to the left: 39.81 becomes 0.3981.

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Key Concepts

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

percent to decimal conversion

When you see a percentage, it鈥檚 telling you how many parts out of 100 there are. So, for instance, 50% means 50 out of 100. To convert a percentage to a decimal, follow these steps:
- Start with the percentage number, like 39.81%.
- Drop the percent symbol (%).
- Divide the number by 100. This can be done by moving the decimal point two places to the left.

For example, if you have 39.81%, you simply drop the % and then move the decimal point two places to the left: 39.81 becomes 0.3981. This is your decimal notation.

move decimal point

Moving the decimal point is a simple yet crucial skill in math, especially for conversions. Here鈥檚 a detailed look at how to move the decimal point when converting percentages to decimals:
- Imagine the decimal point in the number (if it鈥檚 a whole number like 50%, it鈥檚 50.0).
- Move the decimal point two places to the left.
- If there aren鈥檛 enough digits, add zeros.

For instance, converting 39.81% involves:
1. Start with 39.81.
2. Move the decimal two places left: 39.81 becomes 0.3981.

This technique ensures you鈥檙e adjusting the number by the correct value of 100, making your conversion accurate.

basic algebra

Understanding basic algebra helps you grasp why we're moving the decimal point. In broader terms:
- Algebra works with numbers and symbols to solve equations.
- It involves operations like addition, subtraction, multiplication, and division.

In our example:
- The percentage 39.81% means 39.81 per 100. This can be written as $\frac{39.81}{100}$.
- Dividing by 100 is the same as moving the decimal two places to the left.

These algebraic principles mean converting from percent to decimal becomes easier, helping you solve such problems in a systematic way.

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91影视

Convert to decimal notation. $$ 39.81 \% $$

Short Answer

Step by step solution

Understand the Problem

Divide by 100

Move the Decimal Point

Key Concepts

percent to decimal conversion

move decimal point

basic algebra

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