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

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.

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.

2 Fractions Percents Decimals 5 40% .40

2 Fractions Percents Decimals 5 40% .40

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

- 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.

Change the percent to a decimal. 19 % = .19 4 % = .04 17 % = .17

2 Fractions Percents Decimals 5 40% .40

2 Fractions Percents Decimals 5 40% .40

convert from a decimal to a percent: Propose a rule to convert from a decimal to a percent: .35 = 35 % Test your rule: .75 = 75 %

- 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.

Change the decimal to a percent. .5 = 50% .02 = 2 % 130 % 1.3 =

2 Fractions Percents Decimals 5 40% .40

2 Fractions Percents Decimals 5 40% .40

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

- 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

Change the decimal to a fraction: 43 .43 = 100 1 .01 = 100

2 Fractions Percents Decimals 5 40% .40

2 Fractions Percents Decimals 5 40% .40

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

- 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

Change the fraction to a decimal: 4 = 0.8 5 7 0.875 = 8

2 Fractions Percents Decimals 5 40% .40

2 Fractions Percents Decimals 5 40% .40

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

*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”

Change the percent to a fraction: 32 16 8 32 % = = = 100 50 25 7 35 = 35% = 20 100

2 Fractions Percents Decimals 5 40% .40

2 Fractions Percents Decimals 5 40% .40

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.

Change the fraction to a percent: 3 = 15 ) 3 = 0.2 = 20% 15 5 = 8 ) 5 = 0.625 = 62.5% 8

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

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 ….

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 =

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% =

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

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 =

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 =

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