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**Rational Numbers and Decimals**

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Warm Up

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**Now find the equivalent fraction form of each decimal.**

Use a calculator to find the equivalent decimal form of each fraction. Remember that numbers that repeat can be written as 0.333… or 0. 3 Fraction 𝟏 𝟒 𝟓 𝟖 𝟐 𝟑 𝟐 𝟗 𝟏𝟐 𝟓 Decimal 0.2 0.875 Now find the equivalent fraction form of each decimal. What can be noticed about the digits after the decimal points?

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Consider the decimal …. Does this decimal represent a rational number? Why or Why not?

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**Does being negative affect whether or not a number is rational**

Does being negative affect whether or not a number is rational? Use − 8 5 to show your reasoning.

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**Can a mixed number be rational? Use 1 3 4 to show your reasoning.**

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**Writing Rational Numbers as Decimals**

You can convert a rational number to a decimal using long division. Some decimals are terminating decimals because the decimals come to an end. Other decimals are repeating decimals because one or more digits repeat infinitely.

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**Write each rational number as a decimal.**

− − 9 20

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**Writing Mixed Numbers as Decimals**

You can convert a mixed number to a decimal by rewriting the fractional part of the number as a decimal.

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**Shawn rode his bike 6 3 4 miles to the science museum**

Shawn rode his bike miles to the science museum. Write as a decimal.

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**Is the decimal equivalent a terminating or repeating decimal?**

The change in a stock value was − per share. Write − as a decimal. Is the decimal equivalent a terminating or repeating decimal?

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**Is the decimal equivalent a terminating or repeating decimal?**

Yvonne bought a watermelon that weighed pounds. Write as a decimal. Is the decimal equivalent a terminating or repeating decimal?

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