m a cm convertidor - Metro a Centímetro

Conversion derivation

Express both m and cm in the same base unit m (meter), then cancel the shared base unit.

1. 1

   Rewrite m in the base unit

   $$1\mathrm{m}=1\mathrm{m}$$
2. 2

   Rewrite cm in the base unit

   $$1\mathrm{cm}=0.01\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{m}& =\frac{1\cancel{\mathrm{m}}}{0.01\cancel{\mathrm{m}}}\times 1\mathrm{cm}\\ & =\frac{1}{0.01}\mathrm{cm}\\ & =100\mathrm{cm}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{cm}& =\frac{0.01\cancel{\mathrm{m}}}{1\cancel{\mathrm{m}}}\times 1\mathrm{m}\\ & =\frac{0.01}{1}\mathrm{m}\\ & =0.01\mathrm{m}\end{array}$$