Estimate how many times larger 10 x 109 is than 99 x 106.
A) 10 times larger
B) 50 times larger
C) 100 times larger
D) 500 times larger

Respuesta :

It is C.
I hope i helped!

Answer:

Option C is correct.

Step-by-step explanation:

Given two numbers

[tex]10\times 10^9\text{ and } 99\times 10^6[/tex]

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

To estimate we have to divide.

[tex]\frac{10\times 10^9}{99\times 10^6}[/tex] →  (1)

As [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

Equation (1) implies

[tex]\frac{10\times 10^{9-6}}{99}[/tex]

⇒ [tex]\frac{10\times 10^3}{99}[/tex]

⇒ [tex]\frac{10000}{99}=101.01\sim 100\thinspace times[/tex]

Hence, 100 times larger.

Option C is correct.