Question

For subtraction, we add the additive inverse of the integer that is being subtracted, to the other integer . True or false

Answer 1

True as 2 +(-2) Additive inverse of 2 is -2 So that is true As we can see it is subtracting

Answer 2

It is true that, for subtraction, we add the additive inverse of the integer that is being subtracted, to the other integer.

Given : For subtraction, we add the additive inverse of the integer that is being subtracted, to the other integer.

To find : To determine whether the given statement is true or false.

Solution :

To properly understand this solution, we have to know more about additive inverse.

Additive inverse :

• Let, a number = x
• Its additive inverse = (-x)
• And,
• Let, another number = (-y)
• Its additive inverse = y
• Which means, additive inverse of a number is an another number which yields 0 when added to the main number.

Now,

Let two numbers = a & b

Their subtraction = (a-b)

Now, additive inverse of the second number (i.e. b) = (-b)

The sum of first number and additive inverse of the second number :

= a + (-b)

= (a-b)

= The subtraction of the two numbers

Real example :

• Two numbers = 4 and 2
• The answer to the subtraction of the two numbers= (4-2) = 2
• Additive inverse of second number = (-2)
• The answer to the sum of the first number and the additive inverse of the second number = 4 + (-2) = (4-2) = 2 = The answer to the subtraction of the two numbers

Hence, it is true that, for subtraction, we add the additive inverse of the integer that is being subtracted, to the other integer.

#SPJ3