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Sub 505 (Easy)|   Arithmetic|      
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Bunuel
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The number 28.9 is how many times as great as 0.0000289 ? 22 May 2020, 04:57
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The number 28.9 is how many times as great as 0.0000289 ?

A. 1,000,000
B. 100,000
C. 10,000
D. 1,000
E. 100


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A
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The number 28.9 is how many times as great as 0.0000289 ? 22 May 2020, 05:02
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0.0000289 * 1000000 = 28.9

Hence, A

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The number 28.9 is how many times as great as 0.0000289 ? 22 May 2020, 05:46
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Bunuel
The number 28.9 is how many times as great as 0.0000289 ?

A. 1,000,000
B. 100,000
C. 10,000
D. 1,000
E. 100


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Solution


    • \(28.9 = \frac{289}{10} = 289*10^{-1}\)
    • \(0.0000289 = \frac{289}{10000000} = 289*10^{-7}\)
    • So, \(\frac{28.9}{0.0000289} = \frac{289*10^{-1}}{289*10^{-7}} =10^6 = 1000000\)
Thus, the correct answer is Option A.
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The number 28.9 is how many times as great as 0.0000289 ? 22 May 2020, 06:00
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Bunuel
The number 28.9 is how many times as great as 0.0000289 ?

A. 1,000,000
B. 100,000
C. 10,000
D. 1,000
E. 100


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Key concept: If we multiply a number by \(10^n\) (where \(n\) is positive), the result is to move the decimal place to the right by n spaces.

For example: \(1.2345 \times 10^2 = 123.45\)
And \(0.0012345 \times 10^4 = 12.345\)

Likewise, \(0.0000289 \times 10^1 = 0.000289\)
And \(0.0000289 \times 10^2 = 0.00289\)

In order to get to 28.9, we must take 0.0000289 and move the decimal place 6 spaces to the right.
In other words: \(0.0000289 \times 10^6 = 28.9\)
In other words: \(0.0000289 \times 1,000,000 = 28.9\)

Answer: A

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Brent
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The number 28.9 is how many times as great as 0.0000289 ? Updated on: 24 May 2020, 02:24
Originally posted by Codebug4it on 22 May 2020, 10:55.
Last edited by Codebug4it on 24 May 2020, 02:24, edited 1 time in total.
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Total of 6 place difference between both decimals and no new digits introduced, hence

28.9 / (10 ^ 6) = 0.0000289

Ans: Option A
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The number 28.9 is how many times as great as 0.0000289 ? 24 May 2020, 01:25
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A.

0.0000289 can be written as 28.9 * 10^ (-6)

Hence, 28.9 is 10 ^6 times of 0.0000289

10^ 6 = 1,000,000
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The number 28.9 is how many times as great as 0.0000289 ? 07 Sep 2024, 23:50
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