Rational Numbers Quiz

Grade 6 · Math · Quiz

Test your understanding of rational numbers, absolute value, opposites, and comparisons.

Questions

1. Which of the following is NOT a rational number?

   1. 7
   2. −0.25
   3. √5
   4. 2/3
   Show answer

   Answer: √5

   √5 cannot be expressed as a ratio of two integers; it is irrational

2. What is |−18|?

   1. −18
   2. 18
   3. 0
   4. 1/18
   Show answer

   Answer: 18

   Absolute value is the distance from zero, always non-negative; |−18| = 18

3. Which number is furthest from zero on the number line?

   1. −2
   2. 3
   3. −6
   4. 4
   Show answer

   Answer: −6

   |−6| = 6, which is greater than |4| = 4, |3| = 3, and |−2| = 2

4. Order from least to greatest: −1/2, 3/4, −3, 0.

   1. 0, −1/2, 3/4, −3
   2. −3, −1/2, 0, 3/4
   3. 3/4, 0, −1/2, −3
   4. −1/2, 0, −3, 3/4
   Show answer

   Answer: −3, −1/2, 0, 3/4

   On the number line: −3 < −1/2 < 0 < 3/4

5. What is the opposite of 5/8?

   1. 8/5
   2. −8/5
   3. −5/8
   4. 1/(5/8)
   Show answer

   Answer: −5/8

   The opposite has the same magnitude but the opposite sign; opposite of 5/8 is −5/8

6. Which statement is true?

   1. −7 > −3
   2. −1/4 < −1/2
   3. |−5| < |−3|
   4. −1/4 > −1/2
   Show answer

   Answer: −1/4 > −1/2

   −1/4 = −0.25 and −1/2 = −0.5; since −0.25 > −0.5, we have −1/4 > −1/2

7. The absolute value of a number is always positive or zero.

   Show answer

   Answer: True

   Absolute value represents distance, which is never negative; |0| = 0

8. Write −0.5 as a fraction in simplest form: ___

   Show answer

   Answer: -1/2

   −0.5 = −5/10 = −1/2 in simplest form

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