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Verify: {7 − (−7)} × 7 = 7 × 7 − (−7) × 7 - Mathematics

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Question

Verify: 

{7 − (−7)} × 7 = 7 × 7 − (−7) × 7

Sum

Solution

{7 − (−7)} × 7 = 7 × 7 − (−7) × 7

Step 1: Simplify the left-hand side (LHS)

LHS = {7 − (−7)} × 7

Simplify 7 − (−7)

7 − (−7) = 7 + 7 = 14

LHS = 14 × 7 = 98

Step 2: Simplify the right-hand side (RHS)

RHS = 7 × 7 − (−7) × 7

Simplify each term

7 × 7 = 49, (−7) × 7 = −49

RHS = 49 − (−49) = 49 + 49 = 98

Step 3: Compare LHS and RHS

LHS = 98, RHS = 98

Since both sides are equal, the equation is verified.

{7 − (−7)} × 7 = 7 × 7 − (−7) × 7

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Problem Solving Using Operations on Integers
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Chapter 1: Integers - Exercise 1 (A)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 1 Integers
Exercise 1 (A) | Q 3.3
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