Question

Convert the measurement 23cm 15mm into m.

Hint: Recall the relationship between different units in the length system, especially between centimeter (cm), millimeter (mm) and meter (m). Use 1m = 100cm and 1m = 1000mm accordingly.

We know the relationship between meter (m) and centimeter (cm) and also between meter (m) and millimeter (mm).
The relationship between meter (m) and centimeter (cm) is as follows:
1 m = 100 cm
We can also express centimeter (cm) in terms of meter (m) using the above equation as follows:
1 cm = $\dfrac{1}{{100}}$ m
When we divide any number by 100, we just need to move the decimal point by two places to the left, hence, when we divide 1 by 100, we shift the decimal point in 1.0 by two places to the left to get 0.01.
1 cm = 0.01 m
The relation between centimeter (cm) and millimeter (mm) is as follows:
1 cm = 10 mm
We can also express millimeter (mm) in terms of centimeter (cm) using the above equation as follows:
1 mm = $\dfrac{1}{{10}}$ cm
When we divide any number by 10, we just need to move the decimal point by one place to the left, hence, when we divide 1 by 10, we shift the decimal point in 1.0 by one place to the left to get 0.1.
1 mm = 0.1 cm
Hence, the value of 15 mm in terms of cm is as follows:
15mm = 1.5 cm
Hence, the value of 23 cm 15 mm in terms of cm is as follows:
23 cm 15 mm = 23 + 1.5 cm
23 cm 15 mm = 24.5 cm
We now convert 24.5 cm to m as follows:
24.5 cm = 0.245 m
Hence, the answer is 0.245 m.

Note: You might make a mistake when you convert 23 cm 15 mm into cm as 23.15 which is wrong and you might end up with the answer as 0.2315.