Q71Written answer
( – 28) ÷ ( – 28) = _____
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Worked solution
1:
( – 28) ÷ ( – 28) = (-28)/ (-28) = 1
In Questions 72 to 83, state whether the statements are True or False.
NCERT Exemplar · Class 7 · Maths
Chapter 1: Integers
Practice each question, then open the answer or worked solution.
Questions
83 questionsQ72Written answer
5 – ( – 8) is same as 5 + 8.
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Worked solution
True
5 – ( – 8) = 5 + 8
Q73Written answer
(– 9) + (– 11) is greater than (– 9) – ( – 11).
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Worked solution
False
(– 9) + (– 11) = – 19
But, (– 9) – ( – 11) = – 9 + 11 = 2
So, -19 < 2
Hence, (– 9) + (– 11) < (– 9) – ( – 11)
Q74Written answer
Sum of two negative integers always gives a number smaller than both the integers.
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Worked solution
True
E.g.:
-4 + (-5) = -9
Now,
-4 > -9 and -5 > -9
Q75Written answer
Difference of two negative integers cannot be a positive integer.
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Worked solution
False
E.g.: -2 – (-5) = -2 + 5 = 3 (positive integer)
Q76Written answer
We can write a pair of integers whose sum is not an integer.
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Worked solution
False
Sum of two integers is always an integer.
Q77Written answer
Integers are closed under subtraction.
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Worked solution
True
The difference of two integers is always an integer.
Q78Written answer
(– 23) + 47 is same as 47 + (– 23).
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Worked solution
True
In case of addition even if the orders of integers are changed, as the values are equal both are equal.
(– 23) + 47 = 24 and 47 + (– 23) = 24
Q79Written answer
When we change the order of integers, their sum remains the same.
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Worked solution
True
Q80Written answer
When we change the order of integers their difference remains the same.
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Worked solution
False
E.g., 4 – 5 – 8 = -9
But, 5 – 4 – 8 = -7