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. How 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.

Respuesta :

AL2006

(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.)

Answer: There are [tex]1.2\times10^3[/tex] 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 = [tex]2.25\times10^2[/tex]

This week the number of bacteria in the petri dish =[tex]2.75\times10^5[/tex]

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

[tex]\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[/tex]

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