Pre-Algebra Unit 1 Test Review

In which real number subset(s) does the following number belong:

 $\sqrt{16}$   (select all that apply) 

• natural numbers

• whole numbers

• integers

• rational numbers

• irrational numbers

Answer explanation

 $\sqrt{16}=\ 4$  , so it is a natural number. If a number is a natural number then it will also be a whole number, integer, and rational number. 

In which real number subset(s) does the following number belong:

 $\frac{2}{3}$   (select all that apply) 

• natural numbers

• whole numbers

• integers

• rational numbers

• irrational numbers

Answer explanation

 $\frac{2}{3}=0.\overline{6}$  , so it is a rational number because it is a repeating decimal

In which real number subset(s) does the following number belong:

 $\sqrt{13}$   (select all that apply) 

• natural numbers

• whole numbers

• integers

• rational numbers

• irrational numbers

Answer explanation

 $\sqrt{13}=3.605551275...$  , so it is a irrational number because it is neither a repeating or terminating decimal

In which real number subset(s) does the following number belong:

 $-18$   (select all that apply) 

• natural numbers

• whole numbers

• integers

• rational numbers

• irrational numbers

Answer explanation

 $-18$  , so it is an integer and rational number because it a negative whole number and all integers are rational. 

The _ number set includes natural numbers and zero.

Which of the following is a rational number only ?

• 2.75

• 0

• -8

• $\pi$

Answer explanation

2.75 is only a rational number because it has a terminating decimal.

Which of the following is an irrational number only ?

• 2.75

• 0

• -8

• $\pi$

Answer explanation

 $\pi$  is only an irrational number because it is neither a terminating or repeating decimal.

True or False: All integers are rational numbers.

• true

• false

Answer explanation

if a number is an integer then it is also a rational number

True or False: All whole numbers are natural numbers.

• true

• false

Answer explanation

Zero is the only whole number that is not in the natural number set so that is why this is false.

Convert 4/5 to a decimal

• .45
• .80
• .40
• .54

Tags

CCSS.5.NF.B.3

CCSS.5.NBT.B.7