Question

convert the metric unit of length using unit ratios.

(3\text{ m} = \text{___ cm})

• (0.03\text{ cm})
• (3,000\text{ cm})
• (300\text{ cm})
• (30\text{ cm})

Explanation:

Identify the conversion factor

$$ 1\text{ m} = 100\text{ cm} $$

Set up the unit ratio

$$ 3\text{ m} \times \frac{100\text{ cm}}{1\text{ m}} $$

Calculate the final value

$$ 3 \times 100\text{ cm} = 300\text{ cm} $$

Answer:

• (A) \(0.03\text{ cm}\)
• (B) \(3,000\text{ cm}\)
• (C) \(300\text{ cm}\) (Correct answer)
• (D) \(30\text{ cm}\)