Let a, b, c and d be the result of rounding off 7382.196 to the neares

Question

Let a, b, c and d be the result of rounding off 7382.196 to the nearest thousands, hundreds, tens and ones, respectively. Which of the following statements is true?

(A) d < c < b < a
(B) d < c < a < b
(C) a < d < c < b
(D) c < d < b < a
(E) a < c < d < b

Are You Up For the Challenge: 700 Level Questions

IanStewart · Answer

7382.196, rounded to the nearest thousand is 7000, to the nearest hundred is 7400, to the nearest ten is 7380, and to the nearest one is 7382. If those numbers are, respectively, a, b, c and d, we can see that b > d > c > a.

Target4bschool · Answer

IanStewart  Please correct if I am wrong, but shouldn't the values be:

7382.196

a= 8000  
b= 7300  
c= 7390  
d= 7382

IanStewart · Answer

When we talk about rounding some number x "to the nearest thousand", what we're doing is finding the number in the thousands that is closest to x. Since 7382.196 is closer to 7000 than it is to 8000, we round it to 7000.

I think you're looking at the wrong digit. If you want to round some number, say 8417, to the nearest thousand, you need to look at the  hundreds  digit to decide whether to round the thousands digit up or down. For this number, the hundreds digit is less than 5, so we will not round the thousands digit up: if we round 8417 to the nearest thousand, we get 8000. But if instead you were rounding 3825 to the nearest thousand, the answer would be 4000, because the hundreds digit is 5 or greater, so we do want to round the thousands digit upwards.

ayushx · Answer

a = 7000
b = 7400
c = 7380
d = 7382

so a < c < d < b

(E) is the correct answer

daniformic · Answer

7382.196

a = 7000 nearest thousands
b = 7400 nearest hundreds
c = 7380 nearest tens 
d = 7382 nearest ones

so a < c < d < b

Answer E

Bunuel · Answer

Part of  Are You Up For the Challenge: 700 Level Questions  collection.

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Let a, b, c and d be the result of rounding off 7382.196 to the neares

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Let a, b, c and d be the result of rounding off 7382.196 to the neares

Prep Toolkit

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