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Worksheets

Rational Numbers

Total questions: 20

Worksheet time: 14mins

Name
Class
Date
1.

What is the definition of an irrational number?

4 lines
2.

What type of number is this?

a)

Irrational

b)

Rational

c)

Not Sure

3.

What type of number is this?

a)

Rational

b)

Irrational

4.

Which of the following is a rational number?

a)

5.214...

b)

17\sqrt[]{17}  

c)

2.32.\overline{3}  

d)

π\pi  

5.

Which of the following is a rational number?

a)

70\frac{7}{0}  

b)

29\frac{-2}{9}  

c)

π2\frac{\pi}{2}  

d)

0.2458...0.2458...  

6.

58 \frac{5}{8}\  as a percent

(a)  

7.

0.26 as a percent

a)

26100%\frac{26}{100}\%  

b)

2.6 %2.6\ \%  

c)

260%260\%  

d)

26%26\%  

8.

An equivalent fraction to 23\frac{2}{3}  

a)

48\frac{4}{8}  

b)

46\frac{4}{6}  

c)

45\frac{4}{5}  

d)

32\frac{3}{2}  

9.

38\frac{3}{8}  as a decimal

a)

0.375

b)

0.38

c)

0.83

d)

0.11

10.

710\frac{7}{10}  as a decimal AND a percent

a)

0.07

b)

0.7

c)

70%

d)

7%

11.

3563\frac{5}{6}  as an improper fraction

a)

136\frac{13}{6}  

b)

176\frac{17}{6}  

c)

146\frac{14}{6}  

d)

236\frac{23}{6}  

12.

An equivalent fraction to 1218\frac{-12}{18}  

a)

46\frac{4}{6}  

b)

23\frac{2}{3}  

c)

23-\frac{2}{3}  

d)

46\frac{-4}{6}  

13.

154\frac{15}{4}  as a mixed number

a)

4154\frac{1}{5}  

b)

3343\frac{3}{4}  

c)

3143\frac{1}{4}  

14.

Why is 0.30.\overline{3}  a rational number?

a)

It's a non-terminating decimal

b)

It's a terminating decimal

c)

It's a repeating decimal

d)

It is not rational

15.

Is 25\sqrt[]{25}  rational or irrational? Why?

a)

Irrational, it's a non-terminating decimal

b)

Rational, it is a repeating decimal

c)

Irrational, its a square root so it cannot be written as a fraction.

d)

Rational, 25 is a perfect square and can be written as

16.

Is 18\sqrt[]{18}  rational or irrational? Why?

a)

Irrational, it is a terminating decimal.

b)

Rational, it is a non-terminating decimal.

c)

Irrational, it is a non-terminating decimal.

d)

Rational, it is a non-terminating decimal.

17.

Is 46% rational or irrational? Why?

a)

Irrational, cannot be written as a fraction

b)

Rational, written as a percent

c)

Irrational, written as a percent

d)

Rational, can be written as

18.

Equivalent fractions look different but represent the same amount.

a)

True

b)

False

c)

Not sure

19.

This is how I feel about Ratitonal Numbers...

a)
b)
c)
d)
20.

What is the definition of a rational number?

a)

A number that cannot be written as a fraction.

b)

Any number that can be written as a fraction.