Fill in the blanks :
(i) -36 + 8 = ...............
(ii) -36 - 8 = ...............
(iii) -46 - (-6) = ...............
(iv) 53 - (-10) = ...............
(v) 0 - (-13) = ...............
(vi) 9 + 1 - 61 = ...............
Answer
(i) -36 + 8 = -28.
(ii) -36 - 8 = -44.
(iii) -46 - (-6) = -40.
(iv) 53 - (-10) = 63.
(v) 0 - (-13) = 13.
(vi) 9 + 1 - 61 = -51.
Write T for true and F for false statement :
0 is a positive integer.
Answer
False
Reason
The number 0 is an integer, but it is neither positive nor negative.
Positive integers are numbers greater than 0 (1, 2, 3, ...).
Negative integers are numbers less than 0 (-1, -2, -3, ...).
Zero (0) is the integer that separates the positive and negative integers.
Write T for true and F for false statement :
10°C below freezing point can be expressed as (-10°C).
Answer
True
Reason
The freezing point of water is 0°C. "10°C below freezing point" means 10 degrees less than 0°C, which is expressed as −10°C.
Write T for true and F for false statement :
-(-15) = + 15
Answer
True
Reason
The negative of a negative number is a positive number. Therefore, −(−15) is equal to +15.
Write T for true and F for false statement :
Predecessor of (- 9) is - 10.
Answer
True
Reason
The predecessor of a number is the number immediately before it.
Predecessor of (−9) = −9 − 1 = −10.
Write T for true and F for false statement :
On subtracting - 40 from 40, we get 80
Answer
True
Reason
The expression "subtracting -40 from 40" can be written as:
⇒ 40 − (−40)
⇒ 40 + 40
⇒ 80
Write T for true and F for false statement :
Successor of -1 is 0.
Answer
True
Reason
The successor of a number is the number that comes directly after it. To find the successor, you add 1 to the number.
Successor of (−1) = −1 + 1 = 0.
Write T for true and F for false statement :
|-15| + 10 = -5
Answer
False
Reason
The absolute value of −15 is 15.
⇒ ∣−15∣ + 10
⇒ 15 + 10
⇒ 25