Question

How many times larger is 8 x 10^8 than 4 x 10^2?

Answer 1

8 x 10^8 is two million times as much as 4 x 10^2.

So I guess you could say it's 1,999,999 times larger.

Answer 2

Larger quantities are bigger in value than those whom they're larger from. The number $8 \times 10^8$ is $2 \times 10^6$ times bigger than $4 \times 10^2$

How to decide how many times some number is bigger?

The phrase "times bigger" shows this:

If a number 'x' is 't' times bigger than 'y', then that means:

$x = t \times y$

It is because 'y' had to multiply itself with 't' to get in equal level of 'x'

Suppose the given number $8 \times 10^8$  is 't' times bigger than $4 \times 10^2$

Then we have:

$8 \times 10^8 = t \times 4 \times 10^2\\\\\text{Dividing both sides by }4 \times 10^2\\\\\dfrac{8 \times 10^8}{4 \times 10^2} = t\\2 \times 10^{8-2} = t\\\\t = 2 \times 10^6$

Thus,

The number $8 \times 10^8$ is $2 \times 10^6$ times bigger than $4 \times 10^2$

Learn more about "times larger"numbers here:
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