Math Snap

STEP 1

Assumptions1. The expression "$4 \times10^{9}$ is as great as $,000,000$" means that $4 \times10^{9}$ is equal to $,000,000$ times some number.
. We are looking for that number.

STEP 2

First, we need to set up an equation to represent the statement "$4 \times10^{9}$ is as great as $2,000,000$ times some number". We can represent the unknown number as $x$.
$$4 \times10^{9} =2,000,000 \times x$$

STEP 3

Now, we need to solve this equation for $x$. We can do this by dividing both sides of the equation by $2,000,000$.
$$x = \frac{ \times10^{9}}{2,000,000}$$

STEP 4

Now, we can simplify the right-hand side of the equation.
$$x = \frac{4 \times10^{9}}{2 \times10^{6}}$$

STEP 5

We can simplify further by dividing the coefficients (4 and2) and subtracting the exponents of10 (9 and).
$$x =2 \times10^{3}$$

STEP 6

So, the number we are looking for is $2 \times10^{3}$, which is equal to $2,000$.Now, let's check each of the given options and see which one equals $2,000$ when divided by $2,000,000$.

STEP 7

Check the first option.
$$\frac{ \times10^{15}}{2,000,000} =4 \times10^{9}$$This is not equal to $2,000$, so the first option is not correct.

STEP 8

Check the second option.
$$\frac{8 \times10^{54}}{2,000,000} =4 \times10^{48}$$This is not equal to $2,000$, so the second option is not correct.

STEP 9

Check the third option.
$$\frac{8 \times^{16}}{2,000,000} =4 \times^{}$$This is not equal to $2,000$, so the third option is not correct.

Check the fourth option.
$$\frac{8 \times10^{63}}{2,000,000} =4 \times10^{57}$$This is not equal to $2,000$, so the fourth option is not correct.
None of the given options make the statement "$4 \times10^{9}$ is as great as $2,000,000$" true. There seems to be a mistake in the problem.