Difference between revisions of "2017 AMC 8 Problems/Problem 4"
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| − | ==Problem | + | ==Problem== |
When <math>0.000315</math> is multiplied by <math>7,928,564</math> the product is closest to which of the following? | When <math>0.000315</math> is multiplied by <math>7,928,564</math> the product is closest to which of the following? | ||
<math>\textbf{(A) }210\qquad\textbf{(B) }240\qquad\textbf{(C) }2100\qquad\textbf{(D) }2400\qquad\textbf{(E) }24000</math> | <math>\textbf{(A) }210\qquad\textbf{(B) }240\qquad\textbf{(C) }2100\qquad\textbf{(D) }2400\qquad\textbf{(E) }24000</math> | ||
| − | ==Solution | + | ==Solution== |
| − | We can approximate <math>7,928,564</math> to <math>8,000,000,</math> and <math>0.000315</math> to <math>0.0003.</math> Multiplying the two yields <math>2400.</math> | + | We can approximate <math>7,928,564</math> to <math>8,000,000,</math> and <math>0.000315</math> to <math>0.0003.</math> Multiplying the two yields <math>2400.</math> Thus shows our answer is <math>\boxed{\textbf{(D)}\ 2400}.</math> |
| + | |||
| + | ==Video Solution== | ||
| + | https://youtu.be/cY4NYSAD0vQ | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC8 box|year=2017|num-b=3|num-a=5}} | ||
| + | |||
| + | {{MAA Notice}} | ||
Revision as of 13:59, 18 January 2021
Contents
Problem
When 
is multiplied by 
the product is closest to which of the following?
Solution
We can approximate to 
and to 
Multiplying the two yields 
Thus shows our answer is 
Video Solution
See Also
| 2017 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
