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Calculate the answer to the correct number of significant digits.

[tex]\[
\frac{15.0}{124}
\][/tex]

Remember to indicate if the answer is positive (+) or negative (-).

When multiplying and dividing, answers are determined by the number with the fewest significant digits.


Sagot :

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]