Question
Subtract. Write your answer in scientific notation.
(3×105)–(2.7×105)
(3×105)–(2.7×105)
Answers
GPT-4o mini
To subtract the numbers given in scientific notation, we can follow these steps:
1. Write both numbers with the same exponent:
\[
3 \times 10^5 - 2.7 \times 10^5
\]
2. Since both terms have the same power of ten, we can subtract their coefficients directly:
\[
(3 - 2.7) \times 10^5 = 0.3 \times 10^5
\]
3. Now we need to express \(0.3 \times 10^5\) in standard scientific notation, which means we need the coefficient to be between 1 and 10. We can rewrite \(0.3\) as \(3.0\) moved one place to the right (increasing the exponent by 1):
\[
0.3 \times 10^5 = 3.0 \times 10^{5-1} = 3.0 \times 10^4
\]
Therefore, the result in scientific notation is:
\[
\boxed{3.0 \times 10^4}
\]
1. Write both numbers with the same exponent:
\[
3 \times 10^5 - 2.7 \times 10^5
\]
2. Since both terms have the same power of ten, we can subtract their coefficients directly:
\[
(3 - 2.7) \times 10^5 = 0.3 \times 10^5
\]
3. Now we need to express \(0.3 \times 10^5\) in standard scientific notation, which means we need the coefficient to be between 1 and 10. We can rewrite \(0.3\) as \(3.0\) moved one place to the right (increasing the exponent by 1):
\[
0.3 \times 10^5 = 3.0 \times 10^{5-1} = 3.0 \times 10^4
\]
Therefore, the result in scientific notation is:
\[
\boxed{3.0 \times 10^4}
\]