Desmondj2389idn
Answered

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

[tex]\[ \frac{0.0016}{0.849} = [?] \][/tex]

Sagot :

GinnyAnsweridn
Let's perform the division of [tex]\(0.0016\)[/tex] by [tex]\(0.849\)[/tex] and report the result to the correct number of significant figures.

### Step-by-Step Solution:

1. Identify the Numbers Involved:
- Numerator: [tex]\(0.0016\)[/tex]
- Denominator: [tex]\(0.849\)[/tex]

2. Perform the Division:
[tex]\[ \frac{0.0016}{0.849} = 0.0018845700824499413 \][/tex]

3. Determine the Significant Figures:
- The number [tex]\(0.0016\)[/tex] has 2 significant figures.
- The number [tex]\(0.849\)[/tex] has 3 significant figures.

4. Select the Correct Number of Significant Figures for the Result:
- The result should be reported to the least number of significant figures between the two numbers, which is 2 significant figures.

5. Round the Result to 2 Significant Figures:
- The result from the division is approximately [tex]\(0.0018845700824499413\)[/tex].
- Rounding [tex]\(0.0018845700824499413\)[/tex] to 2 significant figures gives [tex]\(0.0019\)[/tex].

### Final Answer:
[tex]\[ 0.0016 \div 0.849 = 0.0019 \][/tex]

The result of the division [tex]\(0.0016 \div 0.849\)[/tex], reported to the correct number of significant figures, is [tex]\(0.0019\)[/tex].
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