Near 100 multiplication 5

Algebra Level 1

Without using calculator, compute this:

97 × 95 \large{97 \times \ 95}

Read more: Mental math tricks

This problem is part of the set Near 100 multiplication .


The answer is 9215.

Evan Huynh by Evan Huynh , 24, Sweden

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3 solutions

Rishabh Jain
Jan 25, 2016

(96+1)(96-1)= 9 6 2 96^2 -1 ( a − b ) ( a + b ) = a 2 − b 2 \small~~{(a-b)(a+b)=a^2-b^2} = 9216 − 1 = 9215 =9216-1=9215 Note: For calculating 9 6 2 96^2 decrease 96 by as much as it is less from 100(i.e subtract 4) and then attach to it square of that subtracted number. 1. 96- 4 4 =92, 2. 9 6 2 96^2 =92 04 04

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Hung Woei Neoh
Jun 1, 2016

97 × 95 = ( 100 − 3 ) ( 95 ) = 9500 − 3 ( 100 − 5 ) = 9500 − 300 + 15 = 9215 97 \times 95\\ =(100-3)(95)\\ =9500 - 3(100 - 5)\\ =9500 - 300 + 15\\ =\boxed{9215}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice (+1) :) ʕ•ٹ•ʔ

Ashish Menon - 5 years ago
Ashish Menon
Jun 1, 2016

97 × 95 = ( 96 + 1 ) ( 96 − 1 ) = 96 2 − 1 = 9216 − 1 = 9215 97 × 95 = (96 + 1)(96 - 1) = {96}^2 - 1 = 9216 - 1 = \color{#69047E}{\boxed{9215}} .

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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