Math · Number System
Rational and Irrational Numbers
Sort numbers as rational or irrational, convert repeating decimals to fractions and estimate square roots.
- 🎓 Grade 8
- 🧮 Math
- 📐 8.NS.A.1
- ❓ 18 questions
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Questions 18 questions
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Which number is irrational?
- A 3/4
- B √9
- C 0.5
- D √2
Which number is rational?
- A √3
- B π
- C √10
- D √25
Write 0.333… (repeating) as a fraction.
- A 33/100
- B 1/3
- C 3/10
- D 3/1
Write 0.444… (repeating) as a fraction.
- A 1/4
- B 4/9
- C 4/10
- D 44/100
Write 0.121212… (repeating) as a fraction.
- A 12/10
- B 4/33
- C 12/100
- D 1/12
12/99 = 4/33
Write 3/8 as a decimal.
- A 0.833…
- B 3.8
- C 0.375
- D 0.38
Write 2/11 as a decimal.
- A 0.181818…
- B 5.5
- C 0.211
- D 0.2
√20 is closest to which whole number?
- A 4
- B 10
- C 5
- D 20
4² = 16 and 5² = 25; 20 is closer to 16.
√60 is closest to which whole number?
- A 8
- B 6
- C 30
- D 7
7² = 49 and 8² = 64; 60 is closer to 64.
Between which two whole numbers is √30?
- A 4 and 5
- B 5 and 6
- C 15 and 16
- D 6 and 7
Which list is in order from least to greatest?
- A 2.5, √5, π, √12
- B π, √5, √12, 2.5
- C √5, π, 2.5, √12
- D √5, 2.5, π, √12
Which number is between 3 and 4?
- A √8
- B √10
- C √17
- D √3
Which is a better estimate of √2 to the nearest tenth?
- A 1.4
- B 1.2
- C 2.0
- D 1.5
1.4² = 1.96 and 1.5² = 2.25.
All integers are…
- A whole numbers
- B irrational numbers
- C rational numbers
- D positive numbers
Every repeating decimal is a rational number.
True
√36 is an irrational number.
False √36 = 6.
A decimal that never ends and never repeats is irrational.
True
0.1010010001… (the pattern keeps growing) is rational.
False It never repeats a fixed block, so it is irrational.
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