Evaluate: 47 × 53

Solution:

Given, 47 × 53 = (50 - 3)(50 + 3)

Using standard identity: (a² - b²) = (a + b)(a - b)

Here a = 50 and b = 3

47 × 53 = (50 - 3)(50 + 3)

= (50)² - (3)²

= 2500 - 9 = 2491

✦ Try This: Evaluate: 63 × 57

Given, 63 × 57 = (60+ 3)(60 - 3)

Using standard identity: (a² - b²) = (a + b)(a - b)

63 × 57 = (60+ 3)(60 - 3)

= (60)² - (3)² = 3600 - 9 = 3591

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 86(vii)

Evaluate: 47 × 53

Summary:

Evaluating 47 × 53 we get 2491

☛ Related Questions:

• Evaluate: 52 × 53
• Evaluate: 105 × 95
• Evaluate: 104 × 97