CBSE Class 7 Mathematics Integers Assignment Set 02

Question. What do we call the set of negative numbers and whole numbers?
(A) Natural numbers
(B) Integers
(C) Positive numbers
(D) The set of whole numbers.
Answer : B

Question. Which of the following is the smal lest positive integer?
(A) 0
(B) 100
(C) 1
(D) 9
Answer : C

Question. Where are the negative numbers located on a horizontal number line?
(A) On the right of 0
(B) On the left of 0
(C) Above 0
(D) Below 0
Answer : C

Question. What is the opposite of earning ~ 100?
(A) + ~ 1 00
(B) Profit of ~ 1 00
(C) Gain of ~ 1 00
(D) Spending ~ 1 00
Answer : D

Question. How is the withdrawal of ~ 200 represented?
(A) Depositing ~ 200
(B) - ~ 200
(C) ~ 200
(D) - 200
Answer : B

Question. Which of the following is true with respect to -28 and -32?
(A) -28 < -32
(B) -28 = -32
(C) -32 > - 28
(D) -28 > - 32
Answer : D

Question. Where do we place the positive numbers on a vertical number line with respect to 0?
(A) Above
(B) On its left side
(C) On its right side
(D) Below
Answer : A

Question. What is the representation of 30 km towards the west?
(A) 30 km east
(B) -30 km
(C) 30 km
(D) 30
Answer : B

Question. What is the nature of the product of a negative integer by itself, odd number of times?
(A) Positive
(B) Negative
(C) Non negative
(D) Cannot be determined
Answer : B

Question. What is the nature of the product of a negative number by itself even number of times?
(A) Negative
(B) 0
(C) Positive
(D) Non-negative
Answer : C

Question. Calculate (-32) x (-4) x (-3) x 0 x (-6) .
(A) 27648
(B) 276480
(C) 0
(D) -27648 
Answer : C

Question. If the dividend and the divisor have like signs, what is the sign of the quotient?
(A) Positive
(B) Negative
(C) Zero
(D) Indeterminate
Answer : A

Question. If the dividend and divisor have unlikesigns, what is the sign of the quotient?
(A) Positive
(B) Negative
(C) Zero
(D) Indeterminate
Answer : B

Question. Match the following .

(A) (i)-(b), (ii)-(a), (iii)-(c), (iv)-(d)
(B) (i)-(a), (ii)-(b), (iii)-(d), (iv)-(c)
(C) (i)-(d), (ii)-(c), (iii)-(b), (iv)-(a)
(D) (i)-(c), (ii)-(d), (iii)-(a), (iv)-(b)
Answer : C

Question. With respect to which of the following operations is closure property satisfied by the set of integers?
(A) +,x
(B) +.~.x
(C)+,x,-
(D) +. -.~
Answer : C

Question. What is the add itive identity for the set of integers?
(A) 0
(B) (-1)
(C) 1
(D) + 10
Answer : A

Question. Which of the following is the multiplicative identity in the set of integers?
(A) 1
(B) (-1)
(C) 0
(D) (-1 0)
Answer : A

Question. Whatisthevalueof124 x 4-3 + 118 7 2?
(A) 552
(B) 496
(C) 553
(D) -553
Answer : A

Question. Which of the following orders is used while evaluating an expression? 
(A)[ 1. (), {}
(B) {}. (), [ 1
(C) (), {}. [ 1
(D) (), [ 1. {}
Answer : C

Question. If a negative sign precedes a bracket, what happens to the terms inside it?
(A) Their signs are changed.
(B) The terms are reciprocated .
(C) The signs remain the same.
(D) The terms are doubled.
Answer : A

Question. If a positive sign precedes a bracket, what happens to the terms inside it?
(A) Signs of the terms will be changed.
(B) Every term is reciprocated.
(C) Every term will become zero.
(D) No change occurs in any of the terms.
Answer : D

Question. What is the value of the expression 7- [13 - {-2- 6 (6 of -5)}]?
(A) -172
(B) 180
(C) 172
(D) 0
Answer : C

Question. What is the sign of the product of two integers with like signs?
(A) Negative
(B) Positive
(C) 0
(D) Cannot be determ ined
Answer : B

Question. What is the sign of the product of two integers with unlike signs?
(A) Negative
(B) 0
(C) Positive
(D) Cannot be determined
Answer : A

Question. Which of the following operations on integers satisfy the commutative property?
(A)-. +
(B)-, X
(C) +, -
(D)+, X
Answer : D

Question. Over which of the following operations is multiplication distributed in the set of integers?
(A) -. +
(B) -,X
(C) +, -
(D) x, 7
Answer : C

Question. What is the sign of the product obtained when a positive integer is multiplied by -1?
(A) Positive
(B) Negative
(C) 0
(D) Non negative
Answer : B

Question. The sum of two integers is 62. If one of the integers is -48, what is the other?
(A) 14
(B) - 14
(C) -110
(D) 110
Answer : D

Question. The product of two integers is -48. If one of the integers is -6, what is the value of the other?
(A) 1
(B) 288
(C) 0
(D) 8
Answer : D

Question. A man walked 3 km towards North then 8 km towards South. What is his final position with respect to his initial position?
(A) 5 km towards East
(B) 3 km towards South
(C) 8 km towards North
(D) 5 km towards South
Answer : D

Question. What is the smallest negative integer?
(A) -1
(B) - 10
(C) 0
(D) Does not exist
Answer : D

Q 1: Write a pair of integers whose product is -12 and there lies seven integers between them (excluding the given integers).

Q 2: Evaluate the following, using suitable property:

I. 53 x (-9) – (-109) x 53

II. 98 x 100 + (-98) x 205

Q 3: If # is an operation such that for integers ‘a’ and ‘b’ we have a # b = a x b + (a x a +b), then find:

I. (-3 ) # (5)

II. (-5) # (-7)

Q 4: Taking today as zero on the number line, if the day before yesterday is 5 January, what is the date 3 days after tomorrow.

Q5: Write true or false :

I. Product of two negative integers is a negative integer.

II. The sum of an integer and its additive inverse is zero.

III. If a, b, c are integers then a x (b-c) = a x b – a x c .

IV. (-1) is the multiplicative identity of integers.

V. The reciprocal of zero does not exist.

Q6: Fill in the blanks:

I. ____________ is the multiplicative identity for integers.

II. _________ x (-1) = 45

III. (-9) x (-5) x 6 x (-3) = ______

IV. (-43) x 9 + 9 – 5 = ________

V. (-95) ÷ (-5) = _________

Q7: Show that the commutative property does not hold good for division of integers (by taking any two integers).

Q8: Simplify: 10 x (-16) – (-8) ÷ 2 – (- 14) ÷ 2 – 5 x 3