Evaluate: 98 × 103

Solution:

Given, 98 × 103 = (100 - 2) (100 + 3)

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

Here x = 100, a = -2 and b = 3

98 × 103 = (100 - 2) (100+ 3)

= 100² + (-2 + 3)100 + (-2)(3)

= 10000 + 100 - 6 = 10094

✦ Try This: Evaluate: 96 × 105

Given, 96 × 105 = (100 - 4) (100 + 5)

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

96 × 105 = (100 - 4) (100+ 5)

= 100² + (-4 + 5)100 + (-4)(5)

= 10000 + 100 -20 = 10080

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

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

Evaluate: 98 × 103

Summary:

Evaluating 98 × 103, we get, 10094

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• Evaluate: 9.8 × 10.2
• Evaluate: 10.1 × 10.2