Question
How many times larger is 2.4 x 10^8 than 6 x10^7?
Answers
GPT-4o mini
To determine how many times larger \( 2.4 \times 10^8 \) is than \( 6 \times 10^7 \), you can divide the two numbers:
\[
\frac{2.4 \times 10^8}{6 \times 10^7}
\]
We can simplify this expression by dividing the coefficients and the powers of 10 separately.
1. Divide the coefficients:
\[
\frac{2.4}{6} = 0.4
\]
2. Divide the powers of 10:
\[
\frac{10^8}{10^7} = 10^{8-7} = 10^1 = 10
\]
Now combine the results:
\[
0.4 \times 10 = 4
\]
Therefore, \( 2.4 \times 10^8 \) is **4 times larger** than \( 6 \times 10^7 \).
\[
\frac{2.4 \times 10^8}{6 \times 10^7}
\]
We can simplify this expression by dividing the coefficients and the powers of 10 separately.
1. Divide the coefficients:
\[
\frac{2.4}{6} = 0.4
\]
2. Divide the powers of 10:
\[
\frac{10^8}{10^7} = 10^{8-7} = 10^1 = 10
\]
Now combine the results:
\[
0.4 \times 10 = 4
\]
Therefore, \( 2.4 \times 10^8 \) is **4 times larger** than \( 6 \times 10^7 \).