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**Being able to use fractions, decimals and percents interchangeably**

Common Conversions Being able to use fractions, decimals and percents interchangeably

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**What am I Learning Today?**

Rational numbers (decimals, fractions, and percents) How will I show that I learned it? To understand and use rational numbers to convert between fractions, decimals, and percents.

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**What exactly is a percent?**

You can remember that percent means “per hundred.” For example, 8% means “8 per hundred,” or “8 out of 100.” Most states charge sales tax on items you purchase. Sales tax is a percent of the item’s price. A percent is a ratio of a number to 100.

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2 Fractions Percents Decimals 5 40% .40

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2 Fractions Percents Decimals 5 40% .40

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**convert from a percent to a decimal:**

Propose a rule to convert from a percent to a decimal: 99 % = .99 Test your rule: 27 % = .27

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**- Move the decimal point two places to the left. **

Questions Answers How do I change from a percent to a decimal? - Move the decimal point two places to the left. - Drop the percent sign. *This is the same as dividing by 100.

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**Change the percent to a decimal.**

19 % = .19 4 % = .04 17 % = .17

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2 Fractions Percents Decimals 5 40% .40

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2 Fractions Percents Decimals 5 40% .40

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**convert from a decimal to a percent:**

Propose a rule to convert from a decimal to a percent: = % Test your rule: = %

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**- Move the decimal point two places to the right **

Questions Answers How do I change from a decimal to a percent? - Replace the % with a decimal - Move the decimal point two places to the right - Attach a percent sign *This is the same as multiplying by 100.

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**Change the decimal to a percent.**

= 50% = 2 % 130 % =

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2 Fractions Percents Decimals 5 40% .40

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2 Fractions Percents Decimals 5 40% .40

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**convert from a decimal to a fraction:**

Propose a rule to convert from a decimal to a fraction: 75 3 .75 = = 100 4 Test your rule: 25 1 .25 = = 100 4

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**- The number itself is the numerator - The denominator is the **

Questions Answers How do I change from a decimal to a fraction? - Write it as you would read it - The number itself is the numerator - The denominator is the place value - SIMPLIFY

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**Change the decimal to a fraction:**

43 .43 = 100 1 .01 = 100

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2 Fractions Percents Decimals 5 40% .40

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2 Fractions Percents Decimals 5 40% .40

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**convert from a fraction to a decimal:**

Propose a rule to convert from a fraction to a decimal: 3 = 4 ) 3 4

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**- Divide the denominator into the numerator. **

Questions Answers How do I change from a fraction to a decimal? - Divide the denominator into the numerator. - Try to divide out to the thousandths place to see if it’s a terminating or repeating decimal

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**Change the fraction to a decimal:**

4 = 0.8 5 7 0.875 = 8

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2 Fractions Percents Decimals 5 40% .40

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2 Fractions Percents Decimals 5 40% .40

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**convert from a percent to a fraction:**

Propose a rule to convert from a percent to a fraction: 75 3 75 % = = 100 4

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***Remember, “percent” means “per hundred”**

Questions Answers How do I change from a percent to a fraction? - Put the number over 100 and reduce - Drop the percent sign. *Remember, “percent” means “per hundred”

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**Change the percent to a fraction:**

32 16 8 32 % = = = 100 50 25 7 35 = 35% = 20 100

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2 Fractions Percents Decimals 5 40% .40

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2 Fractions Percents Decimals 5 40% .40

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**dividing the numerator by the denominator - Move the decimal point **

Questions Answers How do I change from a fraction to a percent? - Convert fraction to a decimal number by dividing the numerator by the denominator - Move the decimal point two places to the right. - Attach a percent sign.

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**Change the fraction to a percent:**

3 = 15 ) 3 = 0.2 = 20% 15 5 = 8 ) 5 = = 62.5% 8

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**1. 2. 3. 4. 5. 6. Convert to a fraction: .23 70% Convert to a percent:**

10 100 Convert to a percent: 3. 4. 1 .23 23% 0.2 = 20% 5 Convert to a decimal: 5. 6. 1 70% 0.7 0.2 5

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**Summarize your Conversions**

In the flipbook provided, provide a summary of how to convert between rational numbers. Include an example for each. JUST FOLLOW ME ….

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**Move your decimal 2 places to the right and add a % sign**

Flip Book Decimal to Percent Move your decimal 2 places to the right and add a % sign EX: 0.67 =

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**Drop the %, move the decimal 2 places to the left.**

Flip Book Percent to Decimal Drop the %, move the decimal 2 places to the left. EX: 65% =

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**Write the number over 100 & simplify**

Flip Book Percents to Fractions Write the number over 100 & simplify EX: 96% =

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Flip Book Fractions to Percents Change the fraction to a decimal, then to a percent by moving the decimal 2 places to the right EX: 1/2 =

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**Write the number as the numerator over its place value & simplify**

Flip Book Decimals to Fractions Write the number as the numerator over its place value & simplify EX: 0.45 =

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**Divide the denominator into the numerator**

Flip Book Fractions to Decimals Divide the denominator into the numerator EX: 2/5 =

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Writing Fractions as Decimals ¾=¾= Divide the numerator by the denominator. (3 divided by 4) or (4 divided into 3) 0.75.

Writing Fractions as Decimals ¾=¾= Divide the numerator by the denominator. (3 divided by 4) or (4 divided into 3) 0.75.

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