Question

Calculate the following differences:

(-12) - (-8) =
A) 4
B) 20
C) 0
D) -4

15 - (-20) =
A) 5
B) 35
C) 20
D) -35

(-11) - 25 =
A) -36
B) 14
C) 36
D) -14

Answer 1

The differences of the given numbers are calculated by following the rules for adding and subtracting integers. When subtracting a negative number, we add instead; when subtracting normally, we combine the values keeping the sign of the larger number in magnitude. The answers are -4, 35, and -36, respectively.

Step-by-step explanation:

The question involves basic arithmetic operations, specifically the subtraction of integers, which can include subtracting positive integers, negative integers, and subtracting a negative from a positive or vice versa. To solve these, you change the operation to addition when you see a minus sign before a negative number.

Let's calculate each difference step by step:

1. (-12) - (-8) becomes (-12) + 8 since subtracting a negative is the same as adding a positive. Performing the addition, -12 + 8 = -4, so the answer is D) -4.
2. 15 - (-20) becomes 15 + 20 for the same reason as the first example. Adding these together, we get 15 + 20 = 35, so the answer is B) 35.
3. (-11) - 25 is a straightforward subtraction since both numbers have the same sign. Subtracting the numbers, we get -11 - 25 = -36, so the answer is A) -36.

Answer 2

D , B and A

Step-by-step explanation:

note that ( ) - (- ) = ( ) + ( ) , that is

subtracting a negative quantity is equivalent to adding the quantity

(- 12 ) - (- 8 ) = - 12 + 8 = - 4

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15 - (- 20 ) = 15 + 20 = 35

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( - 11 ) - 25 = - 11 - 25 = - 36