Question

Convert the measurement 23cm 15mm into m.

Answer 1

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.

Complete step-by-step answer:
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.