6th Grade > Mathematics
INTEGERS MCQs
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Steps: 2 Marks
Answer: 1 Mark
75p+50p=125p
⇒Re1+25p=Rs 1.25
Now, on subtracting Rs 1.25 from Rs 10, we get
⇒Rs(10−1.25)=Rs 8.75.
Thus, after her purchase, the money left with Priya is Rs 8.75.
Numbers are said to be in descending order when they are arranged from the largest to the smallest number. E.g. 25, 21, 17, 13 and 9 are arranged in descending order.
Write the following integers in descending order? [3 MARKS]
(a). 15, -14, 13, 12, 0
(b). 3, -3, 5, -5, 7
(c). 6, -7, -8, 9, -10
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Each option: 1 Mark
(a). 15, 13, 12, 0, -14
⇒(15 is the largest and -14 is the smallest among the given integers)
(b). 7, 5, 3, -3, -5
⇒(7 is the largest and -5 is the smallest among the given integers)
(c). 9, 6, -7, -8, -10
⇒(9 is the largest and -10 is the smallest among the given integers)
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Each option: 1 Mark
(i) The predecessor of −2 is −3
because −3 is 1 less than −2
∴24−3=−8
(ii) The successor of −2 is −1
because −1 is 1 more than −2
∴−82−1=82
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Steps: 1 Mark
Answer: 1 Mark
Sum of 17 and -5
⇒17+(−5)=17−5=12
Now, adding 3 and (-15) to 12
⇒12+3+(−15)=15+(−15)
⇒15−15=0
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Each option: 1 Mark
(a). 0
(b). −6+3=−3
(c). The opposite of −5 is +5
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Number line: 2 Marks
Answers: 2 Marks
(a). – 8 – (– 10) is equal to – 8 + 10 as additive inverse of –10 is 10. On the number line, from – 8 we will move 10 steps towards the right.
We reach at 2. Thus, –8 – (–10) = 2 Hence, to subtract an integer from another integer it is enough to add the additive inverse of the integer that is being subtracted, to the other integer.
(b) In the number line, it has to move two steps left from 6. We reach at 4. Therefore, 6−2=4
Â
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Each option: 1 Mark
(a). Largest = 175, Smallest = −365
(b). [(−3)+(−2)]+[(−5)+7]
⇒[−3−2]+[−5+7]
⇒[−5+2]=−3
(c). −6÷−3=−6−3=2
(⇒−÷−=+)
(d). 3×6×2×(−40)
⇒18×2×(−40)
⇒36×(−40)=−1440
(⇒as+×−=−)
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Each point: 1 Mark
(i) −87+55=−32
⇒32m below the water surface
(ii) +98−115=−17
⇒17m below the water surface
(ii) +36+57−73=20
⇒20m above the water surface
(iv) −42−23+39=−26
⇒26m below the water surface
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Each option: 1 Mark
(i) +20
⇒Walking 20 km towards north
(ii) −30
⇒Walking 30 km towards south
(iii) −70
⇒Walking 70 km towards south
(iv) +45
⇒Walking 45 km towards north
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Definition: 1 Mark
Integers are a collection of natural numbers, zero and negative of natural numbers.
e.g. ....-3,-2,-1,0,1,2,3.........