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give the product using the appropriate number of significant digits. \\…

Question

give the product using the appropriate number of significant digits.

\\((217\text{ m})(38\text{ m})(104\text{ m})\\)

\\((217\text{ m})(38\text{ m})(104\text{ m}) = 860,000\text{ m}^3\\)

Explanation:

Calculate the raw product

$$ 217 \times 38 \times 104 = 857584 $$

Determine the limiting significant figures

  • \(217\text{ m}\) has 3 significant figures.
  • \(38\text{ m}\) has 2 significant figures.
  • \(104\text{ m}\) has 3 significant figures.
  • The product must be rounded to 2 significant figures.

Round the final result

$$ 857584 \approx 860000 $$

Answer:

Give the product using the appropriate number of significant digits.

\((217\text{ m})(38\text{ m})(104\text{ m}) =\) <blank>\(860,000\)</blank> \(\text{m}^3\)