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Estimate how many times larger 7 x 10^10 is than 13 x 10^8.

A) 50 times larger
B) 100 times larger
C) 200 times larger
D) 400 times larger

User Shayan RC
by
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2 Answers

4 votes
The answer to this equation is A) 50 times larger
User Synthaze
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7.5k points
3 votes

Answer:- A) is the right answer.
7*10^(10) is 50 times larger than
13*10^(8)


Explanation:-

To estimate the number of times
7*10^(10) is larger than
13*10^(8)

Let
7*10^(10) is larger than
13*10^(8) by n times.

then
7*10^(10)
=n*13*10^(8)


\Rightarrow\ n=(7*10^(10))/(13*10^(8))\\\\\Rightarrow\ n=(7*10^(10-8))/(13).......[by\ law\ of\ exponents\ (a^m)/(a^n)=a^(m-n)]\\\\\Rightarrow\ n=(7*10^2)/(13)\\\\\Rightarrow\ n=(7*100)/(13)\\\\\Rightarrow\ n=(700)/(13)=53.84\approx50

[as 53.84 is near to 50 by rounding off it to the nearest ten it becomes 50]

Thus
7*10^(10) is 50 times larger than
13*10^(8)



User Melvynx
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7.0k points