Positive & Negative Rational Number Operations — Drills
Positive & Negative Rational Number Operations has 8 drill skills. Each one generates fresh questions every time, with a hint and full worked steps, so you can keep practising a single skill until it settles.
What these drills cover
These questions use 3 ideas from the course. Follow any of them for a definition, where it is taught, and what it leads to.
Addneg
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Compute (-9) + 4.
Worked answer
-5
-9 + 4 = -5
Problem 2
Compute (-2) + (-1).
Worked answer
-3
-2 + (-1) = -3
Subneg
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Compute -8 - 3.
Worked answer
-11
-8 - 3 = -8 + (-3)
= -11
Problem 2
Compute -2 - (-5).
Worked answer
3
-2 - (-5) = -2 + 5
= 3
Multneg
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Compute (44) ÷ (11).
Worked answer
4
44 ÷ 11 = 4
Same signs, so positive: 4
Problem 2
Compute (-30) ÷ (-3).
Worked answer
10
30 ÷ 3 = 10
Same signs, so positive: 10
Chain
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Compute 1 - (-7) + (-9).
Worked answer
-1
1 + 7 + (-9)
1 + 7 = 8
8 + (-9) = -1
Problem 2
Compute 7 - (-5) + (-4).
Worked answer
8
7 + 5 + (-4)
7 + 5 = 12
12 + (-4) = 8
Exponents
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Compute -43.
Worked answer
-64
-43 = -(43)
= -(64) = -64
Problem 2
Compute (-5)2.
Worked answer
25
(-5)2 has 2 negative factors
Even count, so positive: 25
Negfrac
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Compute 76 × 13.
Worked answer
7/18
Same signs, so the answer is positive
76 × 13 = 718
Answer: 718
Problem 2
Compute 15 × (-78).
Worked answer
-7/40
Different signs, so the answer is negative
15 × 78 = 740
Answer: -740
In context
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
The temperature is -18°C at dawn, rises 17° by noon, then falls 4° by night. Find the night temperature.
Worked answer
-5
-18 + 17 = -1
-1 - 4 = -5
Problem 2
The temperature is -3°C at dawn, rises 13° by noon, then falls 10° by night. Find the night temperature.
Worked answer
0
-3 + 13 = 10
10 - 10 = 0
Ordering
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Compute -43 + (-6)2 - (-1).
Worked answer
-27
-43 = -(64) = -64
(-6)2 = 36 — an even count of negatives
-(-1) = +1
-64 + 36 + 1 = -27
Problem 2
Compute -53 + (-4)2 - (-8).
Worked answer
-101
-53 = -(125) = -125
(-4)2 = 16 — an even count of negatives
-(-8) = +8
-125 + 16 + 8 = -101