Question
scientific notation of ( 3.5 x 10^7) x (7 x 10^6)
Answers
GPT-4o mini
To multiply two numbers in scientific notation, you can multiply the coefficients (the numbers in front) and add the exponents of the powers of ten.
Given:
\[
(3.5 \times 10^7) \times (7 \times 10^6)
\]
1. Multiply the coefficients:
\[
3.5 \times 7 = 24.5
\]
2. Add the exponents:
\[
10^7 \times 10^6 = 10^{(7+6)} = 10^{13}
\]
Now, combine these results:
\[
24.5 \times 10^{13}
\]
To write this in proper scientific notation, we need the coefficient to be between 1 and 10. Therefore, we can convert \(24.5\) to \(2.45\) and adjust the exponent accordingly:
\[
24.5 \times 10^{13} = 2.45 \times 10^{14}
\]
So, the final result in scientific notation is:
\[
\boxed{2.45 \times 10^{14}}
\]
Given:
\[
(3.5 \times 10^7) \times (7 \times 10^6)
\]
1. Multiply the coefficients:
\[
3.5 \times 7 = 24.5
\]
2. Add the exponents:
\[
10^7 \times 10^6 = 10^{(7+6)} = 10^{13}
\]
Now, combine these results:
\[
24.5 \times 10^{13}
\]
To write this in proper scientific notation, we need the coefficient to be between 1 and 10. Therefore, we can convert \(24.5\) to \(2.45\) and adjust the exponent accordingly:
\[
24.5 \times 10^{13} = 2.45 \times 10^{14}
\]
So, the final result in scientific notation is:
\[
\boxed{2.45 \times 10^{14}}
\]