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question 9 5 pts convert the metric units of length using the prefix li…

Question

question 9
5 pts

convert the metric units of length using the prefix line.

\\0.04 \text{ hm} = \text{______ } \text{cm}\\

  • 4 cm
  • 400 cm
  • 40 cm
  • 0.4 cm

Explanation:

Identify conversion factors from the prefix line

$$ LATEXBLOCK0 $$

Calculate the ratio between hectometers and centimeters

$$ \frac{1\text{ hm}}{1\text{ cm}} = \frac{100\text{ m}}{0.01\text{ m}} = 10,000 $$

Convert the given value

$$ 0.04\text{ hm} = 0.04 \times 10,000\text{ cm} = 400\text{ cm} $$

Answer:

  • (A) 4 cm
  • (B) 400 cm (Correct answer)
  • (C) 40 cm
  • (D) 0.4 cm