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Rational Numbers — Chapter Test

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Q1
A rational number p/q must have q ___ ?
The denominator q must not be 0.
Q2
Write −4/−8 in standard form.
Two negatives make positive: 4/8 = ½.
Q3
Which is greater, −2/3 or −3/4?
−2/3 is closer to 0, so it is greater.
Q4
Which is a rational number between 1 and 2?
3/2 = 1.5 lies between 1 and 2.
Q5
Write 9/12 in standard form.
Divide both by 3: 9/12 = ¾.
Q6
What is ⅓ + (−⅙)?
2/6 − 1/6 = 1/6.
Q7
What is (−⅔) × ¾?
(−6)/(12) = −½.
Q8
What is (−⅗) ÷ ⅕?
(−⅗) × 5/1 = −15/5 = −3.
Q9
What is ½ − ¾?
2/4 − 3/4 = −¼.
Q10
Write −10/15 in standard form.
Divide both by 5: −10/15 = −2/3.
Q11
A jug has ½ L and ¾ L is added. How much is there now?
½ + ¾ = 2/4 + 3/4 = 5/4 = 1¼ L.
Q12
A recipe needs ⅔ cup of sugar per batch. How much for 3 batches?
⅔ × 3 = 2 cups.
Q13
What is (−½) + ⅓ + (−⅙)?
−3/6 + 2/6 − 1/6 = −2/6 = −⅓.
Q14
What is the additive inverse of −5/7?
The additive inverse of −5/7 is 5/7.
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