1. Rational Numbers and Decimals

2. Warm Up

4. 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?

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

6. 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.

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

8. 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.

11. Write each rational number as a decimal.
− − 9 20

12. 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.

13. 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.

14. 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?

15. 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?