Introduction to rational numbers quick check and practice and the answers

Answer 1

Introduction to Rational Numbers Quick Check:
1) True or False: Irrational numbers can be expressed as a fraction of two integers.
Answer: False. Irrational numbers cannot be expressed as a fraction of two integers, whereas rational numbers can.

2) Which of the following numbers is rational?
a) √3
b) 0.25
c) π
d) -5.8
Answer: b) 0.25

3) Which of the following numbers is irrational?
a) 2/3
b) -1.5
c) √16
d) 7/8
Answer: c) √16

4) True or False: Every integer is also a rational number.
Answer: True. Every integer can be expressed as a fraction with a denominator of 1, making it a rational number.

5) Write the rational number that is equivalent to 0.6 as a fraction.
Answer: 0.6 can be written as 6/10, which can be further simplified to 3/5.

Practice:
1) Write the following irrational numbers as decimals:
a) √2
b) √10
c) √7
d) √13

2) Determine whether the following numbers are rational or irrational:
a) -2.7
b) 0.333...
c) 1.41421356
d) -5/7

3) Write the fraction equivalent of the following decimals:
a) 0.125
b) 0.6
c) 0.8
d) 0.333...

Answers:
Quick Check:
1) False
2) b) 0.25
3) c) √16
4) True
5) 3/5

Practice:
1)
a) approximately 1.414
b) approximately 3.162
c) approximately 2.646
d) approximately 3.605

2)
a) Rational
b) Rational (repeating decimal, can be expressed as 1/3)
c) Irrational (approximation of square root of 2)
d) Rational

3)
a) 1/8
b) 3/5
c) 4/5
d) 1/3

Answer 2

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