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Transcript

Decimal Representations of

Rational Numbers

Matching

Examples

Think of the fraction 2/10

  • The number becomes 0.2 when written as a decimal.
  • 2/10 and 0.2 represent a rational number!
  • The fraction can also be simplifed to 1/5.

Rewrite each number as a fraction

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-1.0000001

0.333

Rewrite each number as a fraction

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If the denominator is a power of 10, like 10, 100, or 1,000, then writing the fraction as a decimal becomes simple

  • The same can be said if you have denominators that are factors of the powers of 10.
  • Let's look at some of them!

Rewrite each number as a decimal

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Using Long Division

  • What do we do if we have a fraction that does NOT have a denominator that is a factor of 10?
  • We use long division!

Rewrite 2/11as a decimal

Irrational

Rational

3.4

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Bye!