Evaluate: 101 × 103

Solution:

Given, 101 × 103 = (100 + 1) (100 + 3)

Using standard identity: (x + a) (x + b) = x² + (a + b)x + ab

Here x = 100, a = 1 and b = 3

101 × 103 = (100 + 1) (100+ 3)

= 100² + (1 + 3)100 + (1)(3)

= 10000 + 400 + 3 = 10403

✦ Try This: Evaluate: 104 × 105

Given, 104 × 105 = (100 + 4) (100 + 5)

Using standard identity: (x + a) (x + b) = x² + (a + b)x + ab

104 × 105 = (100 + 4) (100+ 5)

= 100² + (4 + 5)100 + (4)(5)

= 10000 + 900 +20 = 10920

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

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

Evaluate: 101 × 103

Summary:

Evaluating 101 × 103, we get, 10403

☛ Related Questions:

• Evaluate: 98 × 103
• Evaluate: (9.9)²
• Evaluate: 9.8 × 10.2