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Real Number System

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

Which of the following describes the set of rational numbers?

a)

Rational numbers is the set of all numbers that can be expressed in the form a/b ("a over b"); a and b are integers and b is not equal to 0.

b)

Rational numbers is the set of all negative and positive integers.

c)

Rational numbers is the set of numbers that can be expressed in the form of a fraction. The denominator can be equal to 0.

d)

Rational numbers is the set of all numbers that can be expressed in the form a/b ("a over b"); a and b are integers and b is equal to 0.

2.

 3721\sqrt{3721}  



Evaluate the expression.



(a)  

3.

Tony copied down all of the numbers represented on the thermometer. What subset of the real number system best describes all of the numbers Tony wrote down?

a)

Whole Numbers

b)

Integers

c)

Irrational Numbers

d)

Natural Numbers

4.

What is the name for the set of numbers that includes the non-repeating, non-terminating decimals?

a)

Irrational Numbers

b)

Natural Numbers

c)

Integers

d)

Rational Numbers

5.

 C=2πrC=2\pi r  
Above you see the formula for the circumference (C) of a circle, where r is the radius of the circle.  The circumference of a circle can also be described as - 

a)

a rational number

b)

an irrational number

c)

a whole integer

d)

an integer

6.

Which sentence is not true about rational numbers?

a)

25\sqrt{25} is a rational number.

b)

π\pi is a rational number.

c)

Integers and fractions are rational numbers.

d)

Whole numbers are rational numbers.

7.

 {−36, 35%, 2}\left\{-\sqrt{36},\ 35\%,\ 2\right\}  

Identify EACH classification of the real number system that can describe the set of numbers shown.

a)

Rational

b)

Real

c)

Integer

d)

Whole

e)

Irrational 

8.

Which is the smallest subset of real numbers to which -3.5 belongs?

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

9.

 18\sqrt{18}  

Which is the smallest subset of real numbers to which the number above belongs?

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

10.

 64\sqrt{64}   

Which is the smallest subset of real numbers to which the number above belongs?

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

11.

Which is the smallest subset of real numbers to which -9 belongs?

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational

12.

Which is the smallest subset of real numbers to which 0 belongs?

a)

Natural

b)

Whole

c)

Integers

d)

Rational

e)

Irrational