Question

Express the following as metres using decimals:

$2m45cm$

Answer 1

We know that, $100cm=1m$

Also, $1cm=\frac{1}{100}m$.

For converting $cm$ into $metres$, we have to multiply the given value by $\frac{1}{100}$.

$2m45cm$$=2m+45cm$

$=2+45\times \frac{1}{100}m$

$=2+\frac{45}{100}m$

$=2+0.45m$

$=2.45m$ (As many number of zeros in the denominator that many numbers we will start counting from right to left in the numerator and place the decimal point)

Therefore, $2m45cm$$=2.45m$