Question
b) Write an algebraic expression for the total number of meters in \( x \mathrm{~m} \) and 20 cm .
Ask by Young Evans. in Egypt
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The total number of meters is \( x + 0.2 \) meters.
Solution
1. Recognize that the problem gives a length of \( x \) meters and an additional 20 centimeters.
2. Convert the 20 centimeters to meters. Recall that \( 1 \text{ m} = 100 \text{ cm} \), so
\[
20 \text{ cm} = \frac{20}{100} \text{ m} = 0.2 \text{ m}.
\]
3. Write the total number of meters by adding the meter lengths:
\[
x \text{ m} + 0.2 \text{ m} = x + 0.2.
\]
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Simplify this solution The Deep Dive
To express the total measurement in meters, you'll want to convert 20 cm into meters first. Since 100 cm equals 1 m, 20 cm is equal to \( \frac{20}{100} = 0.2 \) m. Thus, the algebraic expression combining \( x \) (in meters) and 20 cm is \( x + 0.2 \) m. Now, isn't that a neat little math trick? By converting units beforehand, you're ensuring everything stays in the same measuring system, making it easier to add them up without any confusion. Keep practicing, and soon you’ll feel like a pro at unit conversions!
