6th Grade > Mathematics
INTEGERS MCQs
:
Each option: 1 Mark
(i) Final temperature
⇒0∘C+(+25∘C)+(−32∘C)
⇒0∘C+25∘C−32∘C
⇒−7∘C
(ii) Final temperature
⇒−20∘C+(+25∘C)+(−32∘C)
⇒−20∘C+25∘C−32∘C
⇒−27∘C
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Each option: 1Mark
(i) Loss of Rs 1000
(ii) Losing a weight of 5 kg
(iii) Withdrawal of Rs 500
:
Each option:1 Mark
a. +200m
b. 0
c. -100m
:
Definition: 1 Mark
Inverse of 7 and -5: 1 Mark
The additive inverse of a number is what you add to the number to get zero. i.e. additive inverse of 5 is −5 as 5+(−5)=0
Additive inverse of 7 is −7 and additive inverse of −5 is 5.
:
Each option: 1 Mark
(a). −10
(b). +5
(c). +500
(d). −200
(a) The sum of two integers is 94. If one of them is -25, find the other?
(b) The sum of two integers is -320. If one of them is +80, find the other?
(c) The sum of two integers is 100. If one of them is -50, find the other?
(d) The sum of two integers is -660. If one of them is -70, find the other? [4 MARKS]
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Each option: 1 Mark
(a). Let the integer be x⇒−25+x=94⇒x=94+25⇒x=119
(b). Let the integer be x⇒80+x=−320⇒x=−320−80⇒x=−400
(c). Let the integer be x⇒−50+x=100⇒x=100+50⇒x=150
(d). Let the integer be x⇒−70+x=−660⇒x=−660+70⇒x=−590
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Each option: 1 Mark
(a) We first move to the right of 0 by 5 steps reaching 5. Then we move 3 steps to the left of 5 reaching 2.
We get, (+5)+(−3)=2
(b) We want to know an integer which is 5 less than 3 for that we need to start from 3 and move to the left by 5 steps and obtain –2 as shown below:
(c) We want to know the integer which is 4 more than –1. So, we start from –1 and proceed 4 steps to the right of –1 to reach 3 as shown below:
:
Each option: 1 Mark
(a). [15+(−5)]+[15+(−7)]
⇒10+8
⇒18
(b). [34+(−20)]+[16+(−10)]
⇒14+6
⇒20
(c). [32+16]+[9+(−70)]
⇒[48+(−61)]
⇒48−61
⇒−13
(d). [−3+(−2)]+[(−5)+7]
⇒−5+2
⇒−3
:
Each option: 1 Mark
(a). (−3)×(−3)×(−3)
⇒9×(−3)
⇒−27
(b). (32)×(−3)×(2)×(−10)
⇒(−96)×2×(−10)
⇒(−192)×(−10)
⇒1920
(c). (−8)×(0)×(−4)×(18)=0
(d). (−2)×(−3)×(−4)×(−5)
⇒6×20
⇒120
:
(-10) - (+10) + (+10) + (-10) - (-10) = -10-10+10-10+10 = -20 +10 +0 = -10