RS Aggarwal Class 6 Math Fourth Chapter Integers Exercise 4A Solution
EXERCISE 4A
(1) Write the opposite of each of the following:
(i) An increase of 8
Ans: An decrease of 8
(ii) A loss of RS 7
Ans: A gain of rupees 7.
(iii) Gaining a weight of 5 kg
Ans: Losing a weight of 5 kg.
(iv) 10 km above sea level
Ans: 10 km below sea level.
(v) 5oC below the freezing point
Ans: 5oC above freezing point
(vi) A deposit of Rs 100
Ans: A withdrawal of rupees 100.
(vii) Earning Rs 500
Ans: Spending rupees 500.
(viii) Going 6 m to the east
Ans: Going 6 m to the west.
(ix) 24
Ans: -24
(x) -34
Ans: +34
(2) Indicate the following using ‘+’ or ‘-‘ sign:
(i) A gain of Rs 600
Ans: +Rs 600.
(ii) A loss of Rs 800
Ans: -Rs 800.
(iii) 7oC Below the freezing point
Ans: -7oC.
(iv) Decrease of 9
Ans: -9.
(v) 2 km above sea level
Ans: +2 km.
(vi) 3 km below sea level
Ans: -3 km.
(vii) A deposit of Rs 200
Ans: +Rs 200.
(viii) A withdrawal of Rs 300
Ans: -Rs 300.
(3) Mark the following integers on a number line:
(4) Which number is larger in each of the following pairs?
(i) 0, -2
Ans: 0.
(ii) -3, -5
Ans: -3.
(iii) -5, 2
Ans: 2.
(iv) -16, 8
Ans: 8.
(v) -365, -913
Ans: -365.
(vi) -888, 8
Ans: 8.
(5) Which number is smaller in each of the following pairs?
(i) 6, -7
Ans: -7.
(ii) 0, -1
Ans: -1.
(iii) -13, -27
Ans: -27.
(iv) -26, 17
Ans: -26.
(v) -317, -603
Ans: -603.
(vi) -777, 7
Ans: -777.
(6) Write all integers between
(i) 0 and 6
Ans: 1, 2, 3, 4, 5
(ii) -5 and 0
Ans: -4, -3, -2, -1
(iii) -3 and 3
Ans: -2, -1, 0, 1, 2
(iv) -7 and -5
Ans: -6
(7) Fill in the by appropriate symbol > or <:
(i) 0……7
Ans: <
(ii) 0…. -3
Ans: >
(iii) -5…….-2
Ans: <
(iv) -15……13
Ans: <
(v) -231……-132
Ans: <
(vi) -6……6
Ans: <
(8) Write the following integers in the increasing order:
(i) 5, -7, -2, 0, 8
Ans: -7, -2, 0, 5, 8
(ii) -23, 12, 0, -6, -100, -1
Ans: -100, -23, -6, -1, 0, 12
(iii) -17, 15, -363, -501, 165
Ans: -501, -363, -17, 15, 165
(iv) 21, -106, -16, 16, 0, -2, -81
Ans: -106, -81, -16, -2, 0, 16, 21
(9) Write the following integers in the decreasing order:
(i) 0, 7, -3, -9, -132, 36
Ans: 36, 7, 0, -3, -9, -132
(ii) 51, -53, -8, 0, -2
Ans: 51, 0, -2, -8, -53
(iii) -71, -81, 36, 0, -5
Ans: 36, 0, -5, -71, -81
(iv) -365, -515, 102, 413, -7
Ans: 413, 102, -7, -365, -515
(10) Using the number line, write the integer which is
(i) 4 more than 6
Ans: 4+6=10
(ii) 5 more than -6
Ans: 5-6= -1
(iii) 6 less than 2
Ans: 2-6= -4
(iv) 2 less than -3
Ans: -3 -2= -5
(11) For each of the following statements, write (T) for true and (F) for false:
(i) The smallest integers is zero.
Ans: F
(ii) Zero is not an integer.
Ans: F
(iii) The opposite of zero is zero.
Ans: T
(iv) -10 is greater than -6.
Ans: F
(v) The absolute value of an integer is always greater than the integer.
Ans: F
(vi) 0 is larger than every negative integer.
Ans: T
(vii) Every negative integer is less than every natural number.
Ans: T
(viii) The successor of -187 is -188.
Ans: F
(ix) The predecessor of -215 is -214.
Ans: F
(12) Find the value of
(i)
-9
Ans: 9
(ii)
-36
Ans: 36
(iii)
0
Ans: 0
(iv)
15
Ans: 15
(v)
–3
Ans: -3
(vi)
7+-3
Ans: 10
(vii)
7-4
Ans: 3
(viii)
8–7
Ans: 1
(13) (i) Write five negative integers greater than -7.
Ans: -6, -5, -4, -3, -2
(ii) Write five negative integers less than -20.
Ans: -21, -22, -23, -24, -25
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