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Estimate how many times larger 10 x 109 is than 99 x 106.

A10 times larger
B50 times larger
C100 times larger
D500 times larger

Verified Answer :

It is C.
I hope i helped!

Answer:

Option C is correct.

Step-by-step explanation:

Given two numbers

\(10\times 10^9\text{ and } 99\times 10^6\)

we have to estimate about many times a number larger than another.

To estimate we have to divide.

\(\frac{10\times 10^9}{99\times 10^6}\) →  (1)

As \(\frac{x^a}{x^b}=x^{a-b}\)

Equation (1) implies

\(\frac{10\times 10^{9-6}}{99}\)

⇒ \(\frac{10\times 10^3}{99}\)

⇒ \(\frac{10000}{99}=101.01\sim 100\thinspace times\)

Hence, 100 times larger.

Option C is correct.