Q31Written answer
Zero is neither positive nor negative.
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Solution:-
True.
Zero is neither positive nor negative.
NCERT Exemplar · Class 6 · Maths
Chapter 3: Integers
Practice each question, then open the answer or worked solution.
Questions
41 questionsQ32Written answer
On the number line, an integer on the right of a given integer is always larger than the integer.
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Solution:-
True.
By observing the number line below, we can say that an integer on the right of a given integer is always larger than the integer.
Q33Written answer
–2 is to the left of –5 on the number line.
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Solution:-
False.
-2 is to the right of the number line.
Q34Written answer
The smallest integer is 0.
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Solution:-
False.
As we know, 0 is greater than negative integers.
So, 0 is not the smallest integer.
Q35Written answer
6 and –6 are at the same distance from 0 on the number line.
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Solution:-
True.
From the above number line, we can say that, 6 and –6 are at the same distance of 6 units from 0 on the number line.
Q36Written answer
The difference between an integer and its additive inverse is always even.
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Worked solution
Solution:-
True.
Example:
Consider an integer 5.
Its additive inverse is -5
Difference between an integer and its additive inverse = 5 – (-5)
= 5 + 5
= 10
Q37Written answer
The sum of an integer and its additive inverse is always zero.
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Solution:-
True.
Example:
Consider an integer 8.
Its additive inverse is -8
Sum of an integer and its additive inverse = 8 + (-8)
= 8 – 8
= 0
Q38Written answer
The sum of two negative integers is a positive integer.
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Solution:-
False.
The sum of two negative integers is always negative.
Example:
Consider two negative integers – 8 and – 10.
Sum of two negative integers = – 8 + (-10)
= – 8 – 10
= – 18
Q39Written answer
The sum of three different integers can never be zero.
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Solution:-
False.
Example:
Consider 3 different integers 5, 10 and -15.
Sum of 3 integers = 5 + 10 + (-15)
= 5 + 10 – 15
= 15 – 15
= 0
Therefore, the sum of three different integers can be zero.
In questions 40 to 49, fill in the blanks to make the statements true:
Q40Written answer
On the number line, –15 is to the _______ of zero.
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Solution:-
On the number line, –15 is to the left of zero.
Negative integers are always come left to 0, so negative integers always less than 0.