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Integers — Chapter Test

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Q1
Which property does a + b = b + a show?
Changing the order without changing the result is the commutative property.
Q2
The additive inverse of −9 is ___ ?
−9 + 9 = 0, so the additive inverse is 9.
Q3
a + 0 = a shows that the additive identity is ___ ?
Adding 0 leaves a unchanged, so 0 is the additive identity.
Q4
Which integer is greater, −3 or −8?
−3 is to the right of −8, so it is greater.
Q5
What is (−7) + (−5)?
Same sign: 7 + 5 = 12, keep the sign, so −12.
Q6
What is (−15) − (−6)?
−15 + 6 = −9.
Q7
What is (−6) × (−7)?
Like signs give a positive: 42.
Q8
What is (−36) ÷ 9?
Unlike signs give a negative: −4.
Q9
What is (−4) × 3 + 10?
(−4) × 3 = −12, then −12 + 10 = −2.
Q10
What is (−2) × (−2) × (−2)?
(−2) × (−2) = 4, then 4 × (−2) = −8.
Q11
The temperature is −5°C and rises by 12°C. What is the new temperature?
−5 + 12 = 7°C.
Q12
An account is overdrawn at −₹300. After a ₹1,000 deposit, the balance is ___ ?
−300 + 1000 = ₹700.
Q13
A lift starts 2 floors below ground (−2) and goes up 7 floors. Which floor is it on?
−2 + 7 = 5.
Q14
What is (−1) × (−1) × (−1) × (−1)?
An even number of negative factors gives a positive: 1.
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