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If the units digit of 5610.37/(10^k) is 6, what is the value of k?

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by BTGModeratorVI » Thu May 07, 2020 5:57 am

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B

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If the units digit of 5610.37/(10^k) is 6, what is the value of k?

(A) 3
(B) 2
(C) 1
(D) -1
(E) -2

Answer: B
Source: Official guide 2021
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Source: — Problem Solving |

BTGModeratorVI wrote:
Thu May 07, 2020 5:57 am
If the units digit of 5610.37/(10^k) is 6, what is the value of k?

(A) 3
(B) 2
(C) 1
(D) -1
(E) -2

Answer: B
Source: Official guide 2021
If we move the decimal point of 5610.37 two places to the left, then the resulting number will be 56.1037, which has a units digit of 6.

We see that if k = 2, then 5610.37 / 10^2 = 56.1037 has a units digit of 6. So k must be 2.

Answer: B

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