Question
Susie's dog is 2 feet tall. When sh measured her dog using inches, \( h \) was 24 inches tall. Why did the number increase when she measured with inches?
Ask by Chavez Norton. in the United States
Mar 19,2025
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Answer
When Susie measured her dog in inches, the height increased from 2 feet to 24 inches because inches are smaller units. This means more inches are needed to represent the same height, even though the dog's actual size hasn't changed.
Solution
1. Susie's dog is \(2\) feet tall.
2. We know that \(1\) foot is equivalent to \(12\) inches. This relationship is given by:
\[
1 \text{ foot} = 12 \text{ inches}
\]
3. To convert the height from feet to inches, we multiply the number of feet by \(12\):
\[
2 \text{ feet} \times 12 \text{ inches per foot} = 24 \text{ inches}
\]
4. The numerical value increases from \(2\) to \(24\) because inches are a smaller unit than feet. Thus, it takes more inches to express the same length.
The dog's height remains the same; the difference in the numbers arises solely from the unit conversion.
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Simplify this solution Mind Expander
The reason the number increased when Susie measured her dog in inches is due to the conversion between feet and inches. One foot is equal to 12 inches, so when you have a dog that is 2 feet tall, you multiply 2 by 12 to convert that measurement into inches. That's why 2 feet translates to 24 inches—it's all about making sure you know how many inches are in a foot! To avoid confusion in the future, always remember to check what unit you’re using. Feet to inches involves multiplication by 12, while inches to feet requires division by 12. This is a common mistake, but now you’ve got the tools to avoid it!
