Estimate how many times larger 7 x 10^10 is than 13 x 10^8.
2 answers:
The answer to this equation is A) 50 times larger
Answer:- A) is the right answer.
is 50 times larger than
Explanation:-
To estimate the number of times
is larger than
Let
is larger than
by n times.
then
![\Rightarrow\ n=\frac{7\times10^{10}}{13\times10^{8}}\\\\\Rightarrow\ n=\frac{7\times10^{10-8}}{13}.......[by\ law\ of\ exponents\ \frac{a^m}{a^n}=a^{m-n}]\\\\\Rightarrow\ n=\frac{7\times10^2}{13}\\\\\Rightarrow\ n=\frac{7\times100}{13}\\\\\Rightarrow\ n=\frac{700}{13}=53.84\approx50](https://tex.z-dn.net/?f=%5CRightarrow%5C%20n%3D%5Cfrac%7B7%5Ctimes10%5E%7B10%7D%7D%7B13%5Ctimes10%5E%7B8%7D%7D%5C%5C%5C%5C%5CRightarrow%5C%20n%3D%5Cfrac%7B7%5Ctimes10%5E%7B10-8%7D%7D%7B13%7D.......%5Bby%5C%20law%5C%20of%5C%20exponents%5C%20%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D%5C%5C%5C%5C%5CRightarrow%5C%20n%3D%5Cfrac%7B7%5Ctimes10%5E2%7D%7B13%7D%5C%5C%5C%5C%5CRightarrow%5C%20n%3D%5Cfrac%7B7%5Ctimes100%7D%7B13%7D%5C%5C%5C%5C%5CRightarrow%5C%20n%3D%5Cfrac%7B700%7D%7B13%7D%3D53.84%5Capprox50)
[as 53.84 is near to 50 by rounding off it to the nearest ten it becomes 50]
Thus
is 50 times larger than
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