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 | + | 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, it shows our answer is <math>\boxed{\textbf{(D)}\ 2400}.</math> |
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| + | ==Video Solution (CREATIVE THINKING!!!)== | ||
| + | https://youtu.be/5wa99PngBSo | ||
| + | |||
| + | ~Education, the Study of Everything | ||
| + | |||
| + | ==Video Solution== | ||
| + | https://youtu.be/cY4NYSAD0vQ | ||
| + | |||
| + | https://youtu.be/wau6o6XP8hY | ||
| + | |||
| + | ~savannahsolver | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC8 box|year=2017|num-b=3|num-a=5}} | ||
| + | |||
| + | {{MAA Notice}} | ||
Latest revision as of 16:38, 31 March 2023
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, it shows our answer is 
Video Solution (CREATIVE THINKING!!!)
~Education, the Study of Everything
Video Solution
~savannahsolver
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. 
