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Worksheets

Number Systems

Total questions: 12

Worksheet time: 7mins

Name
Class
Date
1.

Which set(s) does the number 5 classify under? Select all that apply

a)

Natural

b)

Whole

c)

Rational

d)

Irrational

2.

The set of Natural numbers is bigger than the set of whole numbers.

a)

True

b)

False

3.

What is the difference between rational and irrational numbers?

a)

Rational numbers are counting numbers, irrational are decimals

b)

Rational number can convert to fractions, irrational cannot

c)

Rational numbers include decimals, irrational include fractions

d)

Rational number are divisible by 3, irrational are divisible by 2

4.

The square root of a number will always be irrational? *Hint, try a few

a)

True

b)

False

5.

What are the main characteristics of an irrational number? Select all that apply

a)

Repeating

b)

Non-repeating

c)

Terminating

d)

Non-terminating

6.

We use the letter Q to represent the set of Rational Numbers because...

a)

R is already used for Real

b)

Q stands for quarter of numbers

c)

Q stands for quotient

d)

Q stands for quadrant

7.

What is the smallest set of numbers?

a)

Natural

b)

Whole

c)

Integer

d)

Rational

8.

Which set of numbers include positive whole numbers, negative whole numbers, and zero?

a)

Natural

b)

Whole

c)

Integer

d)

Rational

9.

Which set of numbers would

 −3.2-3.2  belong to?

a)

Natural

b)

Whole

c)

Integer

d)

Rational

10.

What is the most recognized example of an irrational number?

a)

β\beta

b)

π\pi

c)

θ\theta

d)

∞\infty

11.

Which system would the number

 16.89‾16.\overline{89}  belong to?

a)

Integer

b)

Rational

c)

Irrational

d)

Imaginary

12.

Numbers that do not repeat or terminate are called rational numbers.

a)

True

b)

False