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svet-max [94.6K]
4 years ago
13

Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. H

ow many times more bacteria are in the petri dish this week? Round the decimal to the nearest tenth. There are __ × 10__ times more bacteria in the petri dish this week compared to last week.
Mathematics
2 answers:
Elden [556K]4 years ago
8 0

(2.75 x 10⁵ ) / (2.25 x 10² )


= (2.75 / 2.25) x 10⁵⁻²


= 1.2 x 10³ times .


(That's 1,200 times as many.)

AfilCa [17]4 years ago
8 0

Answer: There are 1.2\times10^3 times more bacteria in the petri dish this week compared to last week.

Step-by-step explanation:

Given: Last week the number of bacteria in a petri dish = 2.25\times10^2

This week the number of bacteria in the petri dish =2.75\times10^5

Now, the number of times more bacteria are in the petri dish this week will be :

\dfrac{2.75\times10^5}{2.25\times10^2}\\\\\\=\dfrac{2.75}{2.25}\times10^{5-2}\ \ \text{Since} , a^m\times a^n=a^{m+n}\\\\\\=1.22222222222\times10^3\approx 1.2\times10^3

Hence, There are 1.2\times10^3 times more bacteria in the petri dish this week compared to last week.

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