Wheeler Burton
04/13/2024 · Primary School
Expros 0.5192 in \( A \times 10^{n} \) form and leave answer in \( 35 . F \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To express the number \( 0.5192 \) in the form \( A \times 10^{n} \), we need to rewrite it in scientific notation.
1. Move the decimal point one place to the right to get \( 5.192 \).
2. Since we moved the decimal point one place to the right, we need to adjust the exponent of 10 accordingly. This means we will subtract 1 from the exponent.
Thus, we can express \( 0.5192 \) as:
\[
0.5192 = 5.192 \times 10^{-1}
\]
Now, to leave the answer in the format \( 35 . F \), we can represent \( 5.192 \) in a similar format.
To convert \( 5.192 \) into the format \( 35 . F \):
- The number \( 5.192 \) can be expressed as \( 35 . 19 \) (where \( F = 19 \)).
So, the final answer in the required format is:
\[
5.192 \times 10^{-1} \quad \text{or} \quad 35 . 19
\]
Quick Answer
\( 0.5192 = 5.192 \times 10^{-1} \) or \( 35 . 19 \)
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