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The value of \(999\frac{{995}}{{999}} \times 999\) is
- A990809
- B998996
- C999824
- D998999
Answer not set
Discussion 1
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CCommunity
Formula to be used
(a – b)2 = a2 + b2 – 2ab
Given expression is
$(999\frac{{995}}{{999}} \times 999 = \frac{{\left( {999 \times 999 + 995} \right)}}{{999}} \times 999)$
= 999 × 999 + 995
= (1000 – 1) (1000 – 1) + 995
= (1000 – 1)2 + 995
= 1000000 + 1 – 2 × 1000 × 1 + 995
= 998996.
(a – b)2 = a2 + b2 – 2ab
Given expression is
$(999\frac{{995}}{{999}} \times 999 = \frac{{\left( {999 \times 999 + 995} \right)}}{{999}} \times 999)$
= 999 × 999 + 995
= (1000 – 1) (1000 – 1) + 995
= (1000 – 1)2 + 995
= 1000000 + 1 – 2 × 1000 × 1 + 995
= 998996.