Types of Numbers
Which set(s) does the number 0 belong to?
Whole, Integer, Rational, & Real
Write 1/2 as a decimal and classify it
0.5, terminating
Is 0.4 terminating or repeating?
Terminating
Simplify 50/100
1/2
Give one example of an irrational number
√2 and π
True or False: All integers are rational numbers.
True, because any integer n can be written as n/1
Write 7/8 as a decimal. What type of decimal is it?
0.875, terminating
Classify 0.4545…
Repeating decimal, & Rational
Simplify 75/100
3/4
Which of these is irrational: √49, 22/7, √15, 0.121212
√15
Which set(s) does the number -3 belong to?
Integer, Rational, & Real
Convert 5/6 into a decimal. What type of decimal is it?
0.8333…, repeating
True or False: A repeating decimal is irrational.
False
Simplify 18/50
9/25
True or False: π is a rational number
False
Which number belongs to ALL of these sets: natural, whole, integer, rational?
5
Express 0.36 as a fraction in simplest form
9/25
Write 1/3 as a decimal and classify it.
0.333…, repeating, & rational
Simplify 84/126
2/3
Which set contains ONLY rational numbers: {π, √2, 0.5}, {-3, 0, 1/4, 0.75}, {√3, -2, 5.5}, {π, -1, 2/3}?
{-3, 0, 1/4, 0.75}
Classify -√25
Integer, Rational, & Real
The number 2.333… can be written as which fraction?
7/3
Classify the decimal for 5 ÷ 6.
Repeating, & Rational
Simplify 0.121212… into a fraction
12/99 = 4/33
Explain the difference between rational and irrational numbers.
Rational numbers can be written as fractions; irrational numbers cannot, since their decimals never end and never repeat.