Problem 3 Convert the decimal to a percent... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 7: Problem 3

Convert the decimal to a percent. $$1.30$$

Short Answer

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Step by step solution

- Understand the Relationship

To convert a decimal to a percent, it's important to understand that percent means 'per hundred'. This means we need to move the decimal point two places to the right and then append a percent sign.

- Move the Decimal

Move the decimal point two places to the right. For 1.30, moving the decimal two places to the right gives us 130.

- Add the Percent Sign

After moving the decimal, add the percent sign. Thus, 1.30 becomes 130%.

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Key Concepts

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

Percent Conversion

To start with, let's understand what percent conversion means. A percent is a way to express a number as a fraction of 100. For example, 50% means 50 out of 100. This is very useful in many real-world scenarios such as calculating discounts, interest rates, and grades.

When we convert a decimal to a percent, we simply express the decimal number as a fraction of 100. This makes it easier to understand and compare. The key idea here is transforming the decimal into something that shows the same value per hundred.

Decimal Point Movement

Next, let鈥檚 talk about moving the decimal point. This is a crucial step in converting decimals to percents. When you move the decimal point, you are essentially multiplying the number by 100.

Here's how you do it:

Take the decimal number.
Move the decimal point two places to the right.

For instance, if you're starting with the decimal 1.30, move the decimal two places to the right and you end up with 130. This operation scales up your value 100 times since 1.30 multiplied by 100 equals 130.

Percent Sign Addition

The final step in the conversion process is adding the percent sign (%). This symbol indicates that the number is now a percent.

For the number 1.30, after moving the decimal two places to the right to get 130, you simply add the percent sign to signify that it is now a percentage: 130%.

So, 1.30 as a decimal converts to 130% as a percent. This makes understanding proportions and comparisons easier.

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91影视

Convert the decimal to a percent. $$1.30$$

Short Answer

Step by step solution

- Understand the Relationship

- Move the Decimal

- Add the Percent Sign

Key Concepts

Percent Conversion

Decimal Point Movement

Percent Sign Addition

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