Percents are a way of expressing a number as a fraction of 100. The word "percent" means "per hundred", so when you see a percent sign (%) it represents a number out of 100. For example, 50% is equivalent to the fraction 50/100, which simplifies to 1/2.

To convert a percent to a decimal, you divide by 100. For example, 25% is equal to 0.25 as a decimal.

To convert a fraction to a percent, you can divide the numerator by the denominator and then multiply by 100. For example, to convert 1/4 to a percent, you would divide 1 by 4 to get 0.25, and then multiply by 100 to get 25%.

To calculate a percentage of a number, you can use the formula:

Percentage = (Part/Whole) x 100

For example, if you want to find 20% of 150, you would use the formula:

(20/100) x 150 = 0.20 x 150 = 30

So, 20% of 150 is 30.

To calculate a percent increase or decrease, you can use the formula:

Percent Change = ((New Value - Original Value) / Original Value) x 100

If the result is positive, it's a percent increase. If it's negative, it's a percent decrease.

1. Understand the concept of percents as a way of expressing a number out of 100.

2. Practice converting between percents, decimals, and fractions.

3. Learn how to calculate percentages using the formula (Part/Whole) x 100.

4. Practice calculating percent increase and decrease using the formula ((New Value - Original Value) / Original Value) x 100.

It's important to practice various types of problems related to percents and to understand how they are used in real-life situations such as discounts, taxes, and interest rates.

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Study GuideNumbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.