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You see the difference between the numbers starts from the last but one digit. So it is enough to multiply and get the last two digits only. Here in the case of 0.9998 x 0.9998, multiply only 98 and 98, you get 9604. The last but one digit is 0 which is only in choice C.
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Re: What is the value of the following (0.9998)^2 ? [#permalink]

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17 Apr 2013, 14:39

Archit143 wrote:

What is the value of the following (0.9998)^2 ?

A 0.99950014 B 0.99950234 C 0.99960004 D 0.99960064 E 0.99961024

I began to multiply .9998 x .9998. I knew the units digit would be 4 (8 x 8 = 64) and then I figured out the hundreds digit by multiplying 9 x 8 + 6 (from the 64) = 84. Rather than doing the rest of the math, I skipped to the tens digit in the second figure. That gave me 9 x 8 = 72 or 2 in the tens column plus the 8 gave me 04 for the first two digits. Figured out it was C.

Elaborating 100's place : 9x8 + 9x9 + 9x8 +15 = 240 => 100s place is 0 with carry over 24

1000 place : 9x8 +9x9 + 9x9 + 9x8 + 24 = 330 => 1000 place is 0 with carry over 33 and so on....
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Re: Which of the following is equal to 0.9998^2 ? [#permalink]

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29 Apr 2013, 05:46

1

This post received KUDOS

HiteshPunjabi wrote:

Which of the following is equal to 0.9998^2 ?

A. 0.99950014 B. 0.99950234 C. 0.99960004 D. 0.99960064 E. 0.99961024

For the sake of convenience, let us assume it to be= 9998*9998 = 9998*(10000-2) = 99980000-19996 --> the units digit is 4 and the tens a 0. Only C satisfies.

Re: Which of the following is equal to 0.9998^2 ? [#permalink]

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05 Oct 2017, 11:45

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