Remember Rational Numbers What is a Rational Number

Remember Rational Numbers What is a Rational Number ? Click for Fun Fact

Rational Numbers Any number that can be written multiple ways Example: 0. 5 = ? fraction Example: 1. 75 = ?

Rational Numbers Examples: 0. 05 0. 3 0. 6 2. 03

Rational Numbers Any number that can be written as a fraction Or…. .

Rational Numbers Or…. .

Rational Numbers Any number that can be written as a fraction or Repeating Decimal Why? Because all repeating decimals can be written as fractions

Rational Numbers We just said all repeating decimals must be able to be written as a fraction

Rational Numbers Lets say L = 0. 55555…. . Since only “one” number repeats…. The 5, we will multiply by 10 on both sides

Rational Numbers L = 0. 55555…. . 10 L = 5. 55555…… Multiplying by 10 moves a decimal over one time

Rational Numbers L = 0. 55555…. . 10 L = 5. 55555…… - L = 0. 55555…. . 9 L = 5 Subtract “L” from both sides now…. remember L = 0. 555…

Rational Numbers 10 L = 5. 55555…… - L = 0. 55555…. . 9 L = 5 ÷ 9 L = Solve for “L” by dividing by 9 on both sides

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Write the following decimals as fractions . 24 5. 9

Write the following Fraction as decimals