Rational and Irrational Numbers

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Rational and Irrational Numbers

Intervention Lesson L80

At basketball tryouts, Carl makes 0.6 percent of his free throw shots. Coach

Morgan

says

to

qualify

for

the

team,

a

player

must

make

at

least

2 3

of

his

free

throw shots. What fraction does Carl make? Does he qualify for the team?

Is 0.6 a rational or irrational number?

Write the repeating decimal as a fraction to compare.

1. What percent of free throws does Carl make?

2. Write 0.6 as a fraction.

Let y =

10 ? y =

?

10y =

10y - y =

-

9y =

y= 3. Does Carl qualify for the basketball team?

4. 0.6 is a(n)

number because it can be written as a fraction.

Write the rational numbers as a fraction or mixed number. If the number is not rational, write irrational.

5. 0.3

6. 0.17

7. 3.1415926...

8. 2.62262226...

9. 9.18

10. 6.32954673...

11. Tasha says that 54.72 is irrational because it is a non-terminating decimal. Is Tasha correct? Explain.

Copyright ? by Savvas Learning Company LLC. All Rights Reserved.

L80 (student p. 1)

MDIS 2.0

Name

Rational and Irrational Numbers (continued)

12. Determine whether each number is rational or irrational.

Intervention Lesson L80

Rational

Irrational

25

0.123456789123456789...

p

4.3233232333...

1.9

3.268268268...

1212

13. Write 0.2 as a fraction.

14. Write 0.64 as a fraction.

15. Write 0.795 as a fraction.

16. Write 42.31 as a mixed number.

17. Gregory saved 0.7, of his allowance last month. What fraction of his allowance did Gregory save?

18. Reasoning Can 0.61611611161111... be represented as a fraction? Explain.

Copyright ? by Savvas Learning Company LLC. All Rights Reserved.

L80 (student p. 2)

MDIS 2.0

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