Exercise 1A
Question 1
Write each number as an integer in the following situations.
(a) Profit of ₹ 17,000 in the first year and a loss of ₹ 5,000 in the second year.
Sol :
Profit=+17000
Loss=-5000
(b) Withdrawal of ₹ 800 from the bank
Sol :
=-800
(c) 5 degrees above zero degree
Sol :
=+5
(d) 2000 m above sea level
Sol :
=+2000
(e) 500 m below sea level
Sol :
=-500 m
(f) Increase in weight by 5 kg
Sol :
=+5 kg
(g) Decrease in weight by 2 kg
Sol :
= -2 kg
Question 2
Graph each integer and its opposite on a number line
(a) 7
Sol :
Opposite=-7
(b) -5
Sol :
Opposite=+5
(c) -1
Sol :
Opposite=+1
(d) 4
Sol :
Opposite=-4
(e) -8
Sol :
Opposite=+8
Question 3
Compare the integers. Use > or < .
(a) -10 __ -15
(b) -29 __ -19
(c) -20 __ 20
(d) 7 __ -7
(e) -8700 __ -8000
Sol :
Question 4
Use a number line to order the integers from the least to the greatest.
(a) -4 , 3 , -6 , -7 , 6
Sol :
(b) -8 , -10 , -3 , 0 , -6
Sol :
Question 5
Write the absolute value of each
(a) |-27|
Sol :
27
(b) |18|
Sol :
18
(c) |-509|
Sol :
509
(d) |306|
Sol :
306
Question 6
Compare , write > or < or =
(a) 35 __ |35|
(b) -19 __ |-27|
(c) -|-5| __ |5|
(d) |-200| __ -300
(e) |-25| __ 25
(f) -|-39| __ -35
Sol :
Question 7
Write the opposite of
(a) |45|
(b) |50|
(c) -|-25|
(d) -|18|
Sol :
Question 8
The table shows the average temperate in Vostok, Antarctica, from March to October . List the months in order from coldest to warmest.
Month | March | April | May | June | July | August | September | October |
Temperature <0°f | -72 | -84 | -86 | -85 | -88 | -90 | -87 | -71 |
Question 9
Use number line to find each sum
(a) 6+2
(b) -4+(-3)
(c) 8+(-10)
(d) -4+7
Question 10
Find each sum
(a) -15+(-7)
(b) 13+27
(c) -44+4
(d) 36+(-60)
(e) -94+(-6)
(f) 39+(-9)
(g) 50-|-50|
Question 11
Find each sum
(a) -18+29+(-11)
(b) |-25|+9-|-4|
Question 12
(a) 8-15
(b) -7-(-12)
(c) 3-(-7)
(d) 8-(-15)
(e) -8-12
(f) 9-(-9)
(g) 89-(-11)
(h) -129-(-130)
Question 13
If the deepest point in the sea is 11600 m below sea level and the highest mountain top is 8846 m above sea level, then the difference in their elevation is
(a) 2754 m
(b) 20446 m
(c) 21406 m
(d) 2952 m
Sol :
Question 14
The sum of two integers is 50. If one of them is -38, the other is
(a) 88
(b) 12
(c) -88
(d) -12
Question 15
If p and q are two integers such that p is the predecessor of q, then p - q is equal to
(a) 1
(b) 0
(c) 2
(d) -1
Sol :
Question 16
Which sum is not negative?
(a) -40+(-30)
(b) -70+65
(c) -63+82
(d) -49+0
Sol :
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