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Worksheets

Real Number System

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

What type if number is  2\sqrt{2}  ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Whole Number

2.

What type of number is  3.5‾3.\overline{5}  ?

a)

Integer

b)

Rational Number

c)

Irrational Number

d)

Natural Number

3.

Check all the numbers that are rational.

a)

36\sqrt{36}

b)

−38-\frac{3}{8}

c)

4π4\pi

d)

−200-200

4.

What two numbers is the  37\sqrt{37}  between?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

5.

What two numbers is the  24\sqrt{24}  between?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

6.

How can you tell if a number is rational?

a)

it has a positive value

b)

it can be written as a ratio of two integers (a fraction)

c)

it has a negative value

d)

it has a π\pi symbol

7.

Which number is LARGER than 99\sqrt{99} ?

a)

12of 13\frac{1}{2}of\ \frac{1}{3}

b)

5(12−9)÷(5−19)5\left(12-9\right)\div\left(5-19\right)

c)

(164)25\left(\frac{\sqrt{16}}{4}\right)^{25}

d)

40022\frac{400}{2^2}

8.

Which numbers are irrational? (check all that apply)

a)

 121\sqrt{121}  

b)

 323\sqrt{2}  

c)

 −115π\frac{-11}{5}\pi  

d)

 23.9‾23.\overline{9}  

9.

 −134-\frac{13}{4}  is ______________  −9-\sqrt{9}  

a)

greater than

b)

less than

c)

equivalent to

10.

 196(3×6)\frac{\sqrt{196}}{\left(3\times6\right)}  is ______________  0.7‾0.\overline{7}  

a)

greater than

b)

less than

c)

equivalent to