Question

Ques 8: Name the property used in : 7 + (-8) = (-8) + 7 ?​

Answer 1

Answer :- Commutative property of addition .

Explanation :- Commutative property of addition says that,

• a + b = b + a

comparing 7 + (-8) = (-8) + 7 with a + b = b + a we get,

• a = 7
• b = (-8)

so,

→ a + b = b + a

→ 7 + (-8) = (-8) + 7

→ 7 - 8 = -8 + 7

→ (-1) = (-1)

Extra knowledge :-

• Commutative Property also satisfy for Multiplication . so, a * b = b * a .
• Commutative Property does not satisfy for substraction and divisible .

Learn more :-

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Answer 2

Given:

Name the property used in : 7 + (-8) = (-8) + 7 ?​

Solution:

7 + (-8) = (-8) + 7 => Commutative Property

• When there is a change in the position of rational numbers but it doesn't affect the result then it is known as the commutative property

• The Commutative Property is applicable only to Addition and Multiplication but not on Subtraction and Division.

given: 7 + (-8) = (-8) + 7

LHS:

$=> 7+(-8)\\=> 7 - 8\\=> -1$

RHS:

$=> (-8) + 7\\=> -1$

There is no change in the result when there is a change in the position of numbers.

Hence, it is commutative property.