Defining a decimeter
Step 1: A decimeter is a metric unit of length equal to one
-tenth of a meter.
Converting to centimeters
Step 2: Since 1 meter = 100 centimeters, 1 decimeter = \( \frac{1}{10} \) meter = \( \frac{100}{10} \) = 10 centimeters.
Evaluating options
Step 3: Analyze the options:
- (A) 20 cm: Incorrect, too large.
- (B) 40 cm: Incorrect, too large.
- (C) 10 cm: Correct, as 1 decimeter = 10 cm.
- (D) 30 cm: Incorrect, too large.
Thus, the correct answer is (C).