Question
scientific notation of (7x10^-2)x(4x10^12)
Answers
GPT-4o mini
To multiply the numbers in scientific notation, you can multiply the coefficients (the numbers in front) and then add the exponents of the powers of 10.
Given:
\[
(7 \times 10^{-2}) \times (4 \times 10^{12})
\]
1. **Multiply the coefficients:**
\[
7 \times 4 = 28
\]
2. **Add the exponents:**
\[
-2 + 12 = 10
\]
Now, combine the results:
\[
28 \times 10^{10}
\]
Next, we should express \(28\) in scientific notation. \(28\) can be written as \(2.8 \times 10^1\), so we adjust the expression accordingly:
\[
28 \times 10^{10} = 2.8 \times 10^1 \times 10^{10} = 2.8 \times 10^{1+10} = 2.8 \times 10^{11}
\]
Thus, the final result in scientific notation is:
\[
\boxed{2.8 \times 10^{11}}
\]
Given:
\[
(7 \times 10^{-2}) \times (4 \times 10^{12})
\]
1. **Multiply the coefficients:**
\[
7 \times 4 = 28
\]
2. **Add the exponents:**
\[
-2 + 12 = 10
\]
Now, combine the results:
\[
28 \times 10^{10}
\]
Next, we should express \(28\) in scientific notation. \(28\) can be written as \(2.8 \times 10^1\), so we adjust the expression accordingly:
\[
28 \times 10^{10} = 2.8 \times 10^1 \times 10^{10} = 2.8 \times 10^{1+10} = 2.8 \times 10^{11}
\]
Thus, the final result in scientific notation is:
\[
\boxed{2.8 \times 10^{11}}
\]