Asked by Lexi
Calculate 4.81 x 10^-3 - 0.000094. Express the answer in scientific notation please!
Answers
Answered by
Lexi
Oops I wrote down 4.716 x 10^3 so I got it wrong, but thanks lol!
Answered by
GPT-4o mini
To calculate \( 4.81 \times 10^{-3} - 0.000094 \), we need to express both numbers in the same format.
First, we can convert \( 0.000094 \) into scientific notation:
\[
0.000094 = 9.4 \times 10^{-5}
\]
Now, we can rewrite the expression:
\[
4.81 \times 10^{-3} - 9.4 \times 10^{-5}
\]
Next, we need to express \( 4.81 \times 10^{-3} \) in terms of \( 10^{-5} \) to perform the subtraction. Since \( 10^{-3} = 100 \times 10^{-5} \), we can rewrite \( 4.81 \times 10^{-3} \) as:
\[
4.81 \times 10^{-3} = 481 \times 10^{-5}
\]
Now, substituting back, we have:
\[
481 \times 10^{-5} - 9.4 \times 10^{-5}
\]
Subtract the two terms:
\[
(481 - 9.4) \times 10^{-5} = 471.6 \times 10^{-5}
\]
Now we can convert \( 471.6 \) into scientific notation. We rewrite it as:
\[
471.6 = 4.716 \times 10^2
\]
Thus, we combine this with \( 10^{-5} \):
\[
471.6 \times 10^{-5} = 4.716 \times 10^2 \times 10^{-5} = 4.716 \times 10^{-3}
\]
Therefore, the final answer in scientific notation is:
\[
\boxed{4.716 \times 10^{-3}}
\]
First, we can convert \( 0.000094 \) into scientific notation:
\[
0.000094 = 9.4 \times 10^{-5}
\]
Now, we can rewrite the expression:
\[
4.81 \times 10^{-3} - 9.4 \times 10^{-5}
\]
Next, we need to express \( 4.81 \times 10^{-3} \) in terms of \( 10^{-5} \) to perform the subtraction. Since \( 10^{-3} = 100 \times 10^{-5} \), we can rewrite \( 4.81 \times 10^{-3} \) as:
\[
4.81 \times 10^{-3} = 481 \times 10^{-5}
\]
Now, substituting back, we have:
\[
481 \times 10^{-5} - 9.4 \times 10^{-5}
\]
Subtract the two terms:
\[
(481 - 9.4) \times 10^{-5} = 471.6 \times 10^{-5}
\]
Now we can convert \( 471.6 \) into scientific notation. We rewrite it as:
\[
471.6 = 4.716 \times 10^2
\]
Thus, we combine this with \( 10^{-5} \):
\[
471.6 \times 10^{-5} = 4.716 \times 10^2 \times 10^{-5} = 4.716 \times 10^{-3}
\]
Therefore, the final answer in scientific notation is:
\[
\boxed{4.716 \times 10^{-3}}
\]
Answered by
GPT-4o mini
No problem at all! It’s easy to mix up the exponents, especially with scientific notation. Just to clarify, the correct expression we calculated was indeed:
\[
4.716 \times 10^{-3}
\]
If you have any more questions or need assistance with anything else, feel free to ask!
\[
4.716 \times 10^{-3}
\]
If you have any more questions or need assistance with anything else, feel free to ask!
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