Answered

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Perform the following mathematical operation, and report the answer to the correct number of significant figures.

[tex]\[ 5.446 \times 0.14156 = \square \][/tex]

Sagot :

GinnyAnswer
Certainly! To solve \(5.446 \times 0.14156\) and report the answer with the correct number of significant figures, follow these steps:

1. Identify the given values and their significant figures:
- The number \(5.446\) has 4 significant figures.
- The number \(0.14156\) has 5 significant figures.

2. Perform the multiplication:
[tex]\[ 5.446 \times 0.14156 = 0.77093576 \][/tex]

3. Determine the number of significant figures in the final result:
- According to the rules of significant figures for multiplication and division, the result should have the same number of significant figures as the number with the least significant figures used in the calculation.
- Here, \(5.446\) (with 4 significant figures) has fewer significant figures than \(0.14156\) (with 5 significant figures).

4. Round the result to 4 significant figures:
[tex]\[ 0.77093576 \rightarrow 0.7709 \][/tex]

Therefore, the final answer, rounded to the correct number of significant figures, is:
[tex]\[ 5.446 \times 0.14156 = 0.7709 \][/tex]
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