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79 laboratories raise the bacterium, the laboratory have 48 culture di

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79 laboratories raise the bacterium, the laboratory have 48 culture di [#permalink]

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New post 08 Mar 2016, 17:09
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79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,075 bacteria each. How many bacteria are there approximately?

A. 10^7
B. 10^8
C. 10^9
D. 10^10
E. 10^11


* A solution will be posted in two days.

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Re: 79 laboratories raise the bacterium, the laboratory have 48 culture di [#permalink]

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New post 08 Mar 2016, 18:10
1
1 lab = 48 culture dishes = \(4 * 12\)
1 culture = \(25 * 10^3\) bacteria

79 labs = \(80 * 4 * 12 * 25 * 10^3\) = \(12 * 8 * 10^6\) = \(96 * 10^6\) = \(10^8\) approx.

Answer: B
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Re: 79 laboratories raise the bacterium, the laboratory have 48 culture di [#permalink]

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New post 08 Mar 2016, 21:00
MathRevolution wrote:
79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,075 bacteria each. How many bacteria are there approximately?

A. 10^7
B. 10^8
C. 10^9
D. 10^10
E. 10^11





So, we want to find the approximate value of (25,075)(48)(79)
Here's how I would do this.

First deal with (25,075)(48)
25,075 is very close to 25,000, so let's go with that.
Now, (25,000)(4) = 100,000, so (25,000)(40) = 1,000,000, which means (25,000)(48) is a BIT BIGGER than 1,000,000, which I will denote as 1,000,000+

So, (25,075)(48)(79) ≈ (1,000,000+)(79)
≈ 80,000,000+
≈ 100,000,000
≈ 10^8 [I know this because 100,000,00 has 8 zeros]

Answer: B

Cheers,
Brent
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Re: 79 laboratories raise the bacterium, the laboratory have 48 culture di [#permalink]

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New post 12 Mar 2016, 06:28
79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,075 bacteria each. How many bacteria are there approximately?

A. 10^7
B. 10^8
C. 10^9
D. 10^10
E. 10^11


-> Due to approximately, 79=80, 48=50, 25,075=25,000 are derived, which makes (79)(48)(25,075)=(80)(50)(25,000)=10^8. The answer is B.
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Re: 79 laboratories raise the bacterium, the laboratory have 48 culture di [#permalink]

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New post 13 Mar 2016, 07:12
MathRevolution wrote:
79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,075 bacteria each. How many bacteria are there approximately?

A. 10^7
B. 10^8
C. 10^9
D. 10^10
E. 10^11


* A solution will be posted in two days.

We've to find approx value.
80*50*25000 = 10^8
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Re: 79 laboratories raise the bacterium, the laboratory have 48 culture di [#permalink]

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Re: 79 laboratories raise the bacterium, the laboratory have 48 culture di   [#permalink] 05 Oct 2017, 06:31
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