Question

10. If a = -8, b = -7, c = 6, verify that (a + b) + c = a +(b + c).
11. If a = -9 and b = -6, show that (a - b) = (b - a).
If one of them is 53 find the ot​

Answer 1

Step-by-step explanation:

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Answer 2

SoluTion₁ :-

Given :-

a = -8

b = -7

c = 6

To prove :-

(a + b) + c = a + (b + c)

Verification :-

(-8 + (-7)) + 6 = -8 + (-7 + 6)

-8 - 7 + 6 = -8 - 7 + 6

6 - 8 - 7 = 6 - 8 - 7

6 - 15 = 6 - 15

-9 = -9

LHS = RHS

Hence, Proved

SoluTion₂ :-

Given :-

a = -9

b = -6

To prove :-

(a - b) = (b - a)

Verification :-

(-9 - (-6)) = (-6 - (-9))

-9 + 6 = -6 + 9

-3 = 3

LHS ≠ RHS

Notes :-

In the 1st question, LHS = RHS, since the property is Associative rule of Addition, which means that grouping the numbers won't change the sum.

In the 2nd question, LHS ≠ RHS, since the Commutative property does not apply to Subtraction of Integers.