To solve the division problem and determine the correct number of significant digits:
[tex]\[
\frac{15.0}{124}
\][/tex]
1. Identify the significant digits:
- The numerator [tex]\( 15.0 \)[/tex] has 3 significant digits since trailing zeros after a decimal point count.
- The denominator [tex]\( 124 \)[/tex] also has 3 significant digits as all three digits count in a whole number.
2. Perform the division operation:
[tex]\[
\frac{15.0}{124} \approx 0.12096774193548387
\][/tex]
3. Determine the answer to the correct number of significant digits:
- Since both the numerator and the denominator have 3 significant digits, the result should also be reported to 3 significant digits.
4. Round the result to 3 significant digits:
[tex]\[
0.12096774193548387 \approx 0.121
\][/tex]
5. Indicate the sign of the result:
- Both the numerator and denominator are positive, so the result is positive (+).
Therefore, the final answer, rounded to 3 significant digits, is:
[tex]\[
+0.121
\][/tex]
