Difference between revisions of "2017 AMC 8 Problems/Problem 4"

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==Problem 4==
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==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?
  
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==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> This gives our answer to be <math>\boxed{\textbf{(D)}\ 2400}.</math>
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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!!!)==
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https://youtu.be/5wa99PngBSo
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~Education, the Study of Everything
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==Video Solution==
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https://youtu.be/cY4NYSAD0vQ
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https://youtu.be/wau6o6XP8hY
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 +
~savannahsolver
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==See Also==
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{{AMC8 box|year=2017|num-b=3|num-a=5}}
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{{MAA Notice}}

Latest revision as of 16:38, 31 March 2023

Problem

When $0.000315$ is multiplied by $7,928,564$ the product is closest to which of the following?

$\textbf{(A) }210\qquad\textbf{(B) }240\qquad\textbf{(C) }2100\qquad\textbf{(D) }2400\qquad\textbf{(E) }24000$

Solution

We can approximate $7,928,564$ to $8,000,000$ and $0.000315$ to $0.0003.$ Multiplying the two yields $2400.$ Thus, it shows our answer is $\boxed{\textbf{(D)}\ 2400}.$

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

2017 AMC 8 (ProblemsAnswer KeyResources)
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

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