Rational/Irrational
Conversion
Approximate
Between 2
Squared and Cubed Roots
100

Is 4/9 rational or irrational? Explain.

Rational, it is a fraction.

100

What is 0.333... as a fraction?

1/3

100

Approximate the √10 to the nearest integer.

3

100

What 2 whole numbers does the square root of 98 lie between?

9 and 10

100

what is the square root of 49?

7 and -7

200

Is 31.7878... rational or irrational? Explain.

Rational, it is a repeating decimal

200

Write 2/9 as a decimal.

.2 repeating

200

Approximate the √18 to the nearest integer.

4

200

What 2 whole numbers does the square room of 47 lie between?

6 and 7

200

What is the cubed root of -64?

-4

300

Do irrational numbers terminate? Explain.

No, terminating decimals are rational.

300

What is 8.0404... as a fraction?

8 4/99 

300

Approximate the -√34 to the nearest integer.

-6

300

What 2 whole numbers does the square room of 92 lie between?

9 and 10

300

What is the square root of 121?

11 and -11

400

Is 44.534593... rational or irrational? Explain.

Irrational, decimal does not terminate and does not repeat.

400

Write 5/33 as a decimal.

.15 repeating

400

Approximate the cube root of 500 to the nearest integer.

8

400

What 2 whole numbers does the cube root of 215 lie between?

5 and 6

400

What is the cubed root of 1331

11

500

Is pi rational? Explain.

No, pi does not terminate and does not repeat..

500

What is 4.0303... written as a fraction?

4 1/33

500

Approximate the cube root of -132 to the nearest integer.

-5

500

What 2 whole numbers does the cube root of 645 lie between?

8 and 9

500

If a square garden has an area of 144 squared feet, what is the length of one side length?

12 feet. 

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