Question
How many times larger is (1.176 * 10^1) than 8 * 10^-1
Answers
GPT-4o mini
To find how many times larger \( 1.176 \times 10^1 \) is than \( 8 \times 10^{-1} \), we can divide the two values.
First, we write the expressions:
\[
\text{Value A} = 1.176 \times 10^1
\]
\[
\text{Value B} = 8 \times 10^{-1}
\]
Now, we perform the division:
\[
\frac{\text{Value A}}{\text{Value B}} = \frac{1.176 \times 10^1}{8 \times 10^{-1}}
\]
We can break this down into two parts:
1. Divide the numeric coefficients:
\[
\frac{1.176}{8} = 0.147
\]
2. Divide the powers of ten:
\[
\frac{10^1}{10^{-1}} = 10^{1 - (-1)} = 10^{1 + 1} = 10^2
\]
Now, combine both parts:
\[
\frac{\text{Value A}}{\text{Value B}} = 0.147 \times 10^2
\]
We can express this in standard form:
\[
0.147 \times 10^2 = 14.7
\]
Thus, \( 1.176 \times 10^1 \) is \( 14.7 \) times larger than \( 8 \times 10^{-1} \).
So, the answer is:
\[
\boxed{14.7}
\]
First, we write the expressions:
\[
\text{Value A} = 1.176 \times 10^1
\]
\[
\text{Value B} = 8 \times 10^{-1}
\]
Now, we perform the division:
\[
\frac{\text{Value A}}{\text{Value B}} = \frac{1.176 \times 10^1}{8 \times 10^{-1}}
\]
We can break this down into two parts:
1. Divide the numeric coefficients:
\[
\frac{1.176}{8} = 0.147
\]
2. Divide the powers of ten:
\[
\frac{10^1}{10^{-1}} = 10^{1 - (-1)} = 10^{1 + 1} = 10^2
\]
Now, combine both parts:
\[
\frac{\text{Value A}}{\text{Value B}} = 0.147 \times 10^2
\]
We can express this in standard form:
\[
0.147 \times 10^2 = 14.7
\]
Thus, \( 1.176 \times 10^1 \) is \( 14.7 \) times larger than \( 8 \times 10^{-1} \).
So, the answer is:
\[
\boxed{14.7}
\]