Rational/Irrational
Conversion
Approximate
Between 2
Subsets
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

These numbers can be written as fractions.

Rational Numbers


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

These rational numbers are referred to as 'the counting numbers'.

Natural Numbers

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 root of 92 lie between?

9 and 10

300

These rational numbers are natural numbers including zero.

Whole Numbers


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

All rational numbers contain these 3 things.

Fractions, Repeating Decimals, Terminating Decimals
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

What subsets are in the set of rational numbers?

Natural Numbers, Whole Numbers, and Integers

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