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Practice each question, then open the answer or worked solution.
An integer with a positive sign (+) is always greater than
(A) 0 (B) 1 (C) 2 (D) 3
Solution:-
(A) 0
Positive integers are always coming right to the 0, so positive integers are always greater than 0.
The successor of the predecessor of –50 is
(A) –48 (B) –49 (C) –50 (D) –51
Solution:-
(c) – 50
The successor of a whole number is the number obtained by adding 1 to it.
To find the predecessor of a number, subtract one from the given number.
So, predecessor of – 50 = – 50 – 1 = – 51
Then, successor of – 51 = – 51 + 1 = 50
The additive inverse of a negative integer
(A) is always negative (B) is always positive
(C) is the same integer (D) zero
Solution:-
(B) is always positive
Amulya and Amar visited two places, A and B, respectively, in Kashmir and recorded the minimum temperatures on a particular day as –4°C at A and –1°C at B. Which of the following statement is true?
Solution:-
(A) A is cooler than B
We know that, in the case of a negative integer, the big number is smaller.
When a negative integer is subtracted from another negative integer, the sign of the result
(A) is always negative, (B) is always positive
(C) is never negative, (D) depends on the numerical value of the integers
Solution:-
(D) depends on the numerical value of the integers
For example, (i) – 4 – (-3) = -4 + 3
= – 1
(ii) – 6 – (-9) = – 6 + 9
= 3
The statement “When an integer is added to itself, the sum is greater than the integer” is
(A) always true
(B) never true
(C) true only when the integer is positive
(D) true for non-negative integers
Solution:-
(C) true only when the integer is positive
For example, consider the positive integer 5 = 5 + 5 = 10
In a positive integer, the sum is greater than the integer.
But in negative integer -4 = -4 + (-4)
= – 4 – 4
= – 8
In a negative integer, the sum is less than the integer.
Which of the following shows the maximum rise in temperature?
(A) 0°C to 10°C (B) –4°C to 8°C
(C) –15°C to –8°C (D) –7°C to 0°C
Solution:-
(B) –4°C to 8°C
In above temperature, has more rise in temperature.
the difference between two temperatures = 8 – (-4)
= 8 + 4
= 12 oC
In questions 18 to 39, state whether the given statements are true (T) or false (F) :
The smallest natural number is zero.
Solution:-
False.
We know that, natural numbers start from 1, so the smallest natural number is 1.
Zero is not an integer, as it is neither positive nor negative.
Solution:-
False.
Zero is an integer, even though it is neither positive nor negative.
The sum of all the integers between –5 and –1 is –6.
Solution:-
False.
The sum of all integers between -5 and -1 = -4 -3 -2
= -9