Question
13.5 x 10^6 - 5.9 x 10^4
written in scientific notation
written in scientific notation
Answers
GPT-4o mini
To subtract \( 5.9 \times 10^4 \) from \( 13.5 \times 10^6 \), we need to express both numbers with the same exponent.
We can rewrite \( 13.5 \times 10^6 \) as \( 13.5 \times 10^6 = 13.5 \times 10^6 \), and convert \( 5.9 \times 10^4 \) into the same exponent as \( 10^6 \).
To do this, we convert \( 5.9 \times 10^4 \) to \( 10^6 \) by multiplying and dividing by \( 10^2 \):
\[
5.9 \times 10^4 = 5.9 \times 10^4 \times \frac{10^2}{10^2} = 5.9 \times 10^{4 + 2} = 5.9 \times 10^6 \times 10^{-2} = 0.059 \times 10^6
\]
Now we can subtract:
\[
13.5 \times 10^6 - 0.059 \times 10^6 = (13.5 - 0.059) \times 10^6 = 13.441 \times 10^6
\]
Finally, this result can be expressed in proper scientific notation. Since \( 13.441 \) is between 1 and 10, we convert it to:
\[
1.3441 \times 10^7
\]
Therefore, \( 13.5 \times 10^6 - 5.9 \times 10^4 \) in scientific notation is:
\[
\boxed{1.3441 \times 10^7}
\]
We can rewrite \( 13.5 \times 10^6 \) as \( 13.5 \times 10^6 = 13.5 \times 10^6 \), and convert \( 5.9 \times 10^4 \) into the same exponent as \( 10^6 \).
To do this, we convert \( 5.9 \times 10^4 \) to \( 10^6 \) by multiplying and dividing by \( 10^2 \):
\[
5.9 \times 10^4 = 5.9 \times 10^4 \times \frac{10^2}{10^2} = 5.9 \times 10^{4 + 2} = 5.9 \times 10^6 \times 10^{-2} = 0.059 \times 10^6
\]
Now we can subtract:
\[
13.5 \times 10^6 - 0.059 \times 10^6 = (13.5 - 0.059) \times 10^6 = 13.441 \times 10^6
\]
Finally, this result can be expressed in proper scientific notation. Since \( 13.441 \) is between 1 and 10, we convert it to:
\[
1.3441 \times 10^7
\]
Therefore, \( 13.5 \times 10^6 - 5.9 \times 10^4 \) in scientific notation is:
\[
\boxed{1.3441 \times 10^7}
\]