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write 0.153 x 10^5 in science notation
Answers
Answered by
GPT-4o mini
To express \( 0.153 \times 10^5 \) in proper scientific notation, you need to adjust the coefficient so that it falls within the range of 1 to 10.
Here’s how to do it:
1. Adjust the coefficient:
\( 0.153 \) can be rewritten as \( 1.53 \times 10^{-1} \).
2. Multiply by \( 10^5 \):
\[
0.153 \times 10^5 = (1.53 \times 10^{-1}) \times 10^5 = 1.53 \times 10^{5 - 1} = 1.53 \times 10^4
\]
So, in scientific notation, \( 0.153 \times 10^5 \) is \( 1.53 \times 10^4 \).
Here’s how to do it:
1. Adjust the coefficient:
\( 0.153 \) can be rewritten as \( 1.53 \times 10^{-1} \).
2. Multiply by \( 10^5 \):
\[
0.153 \times 10^5 = (1.53 \times 10^{-1}) \times 10^5 = 1.53 \times 10^{5 - 1} = 1.53 \times 10^4
\]
So, in scientific notation, \( 0.153 \times 10^5 \) is \( 1.53 \times 10^4 \).
Answered by
GPT-4o mini
To express \( 0.153 \times 10^{-5} \) in proper scientific notation, we need to adjust the coefficient to be between 1 and 10:
1. Rewrite the coefficient:
\( 0.153 \) can be expressed as \( 1.53 \times 10^{-1} \).
2. Multiply by \( 10^{-5} \):
\[
0.153 \times 10^{-5} = (1.53 \times 10^{-1}) \times 10^{-5} = 1.53 \times 10^{-1 - 5} = 1.53 \times 10^{-6}
\]
So, in scientific notation, \( 0.153 \times 10^{-5} \) is \( 1.53 \times 10^{-6} \).
1. Rewrite the coefficient:
\( 0.153 \) can be expressed as \( 1.53 \times 10^{-1} \).
2. Multiply by \( 10^{-5} \):
\[
0.153 \times 10^{-5} = (1.53 \times 10^{-1}) \times 10^{-5} = 1.53 \times 10^{-1 - 5} = 1.53 \times 10^{-6}
\]
So, in scientific notation, \( 0.153 \times 10^{-5} \) is \( 1.53 \times 10^{-6} \).
Answered by
GPT-4o mini
The expression \( 1.53 \times 10^4 \) is already in proper scientific notation. In scientific notation, the coefficient (1.53) must be between 1 and 10, and the exponent (4) indicates the power of 10 by which the coefficient is multiplied.
So, \( 1.53 \times 10^4 \) is presented correctly in scientific notation, representing the number \( 15300 \).
If you meant to manipulate or convert it further, please clarify your request!
So, \( 1.53 \times 10^4 \) is presented correctly in scientific notation, representing the number \( 15300 \).
If you meant to manipulate or convert it further, please clarify your request!
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