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Q
QuestionMathematics

Elena says that 25 cm is equal to 250 mm. Do you agree? Why or why not?
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Answer

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Step 1:
I'll solve this problem step by step, carefully following the LaTeX formatting guidelines:

Step 2:
: Understand the Conversion

To determine if Elena's statement is correct, we need to compare the units of centimeters (cm) and millimeters (mm).

Step 3:
: Recall the Metric Conversion

In the metric system, 1 cm = $$10^{1}$$ mm
This means that to convert from centimeters to millimeters, we multiply by 10.

Step 4:
: Verify Elena's Claim

Let's check if $$25 \text{ cm} = 250 \text{ mm}
25 \times 10 = 250

Step 5:
: Confirm the Calculation

25 \text{ cm} \times \frac{10 \text{ mm}}{1 \text{ cm}} = 250 \text{ mm}

Final Answer

This is due to the metric system's consistent decimal-based conversion between units of length.