Jessica is measuring two line segments. The first line segment is $30 cm$ long. The second line segment is $500 mm$ long. How long are the two line segments together?

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Solution

Step 1: Convert $500 mm$ into $cm$ .
We know that the value of $1 mm$ is equal to $0.1 cm$ .
Then, $500 mm$ will be $500 \cdot (0.1) = 50 cm$ .
Therefore, the second line segment is $50 cm$ long.
Step 2: Calculate total length.
Let the first line segment be $L_{1} = 30 cm$ long and the second line segment be $L_{2} = 50 cm$ long.
Now, the total length is $L = L_{1} + L_{2}$ .
Substitute the values $L_{1} = 30 cm$ and $L_{2} = 50 cm$ in $L = L_{1} + L_{2}$ .
$L = 30 + 50 ∴ L = 80 cm$
Hence, the length of the two line segments together is $80 cm$ .

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