Question

How many times is 4 × 104 larger than 2 x 10? (1 point)
2,000
2
200
• 20

Answer 1

To compare how many times \( 4 \times 10^4 \) is larger than \( 2 \times 10 \), we first need to divide the two numbers:

\[
\frac{4 \times 10^4}{2 \times 10}
\]

Now, simplifying this fraction:

\[
= \frac{4}{2} \cdot \frac{10^4}{10}
\]
\[
= 2 \cdot 10^{4-1}
\]
\[
= 2 \cdot 10^3
\]
\[
= 2 \cdot 1000
\]
\[
= 2000
\]

Thus, \( 4 \times 10^4 \) is **2000** times larger than \( 2 \times 10 \).

So the answer is \( \boxed{2000} \).