Write each of the following decimals into expanded form :

16.74

We have:

16.74 = 10 + 6 + 0.7 + 0.04 $\hspace{2cm}$[Separating according to place values]

$= (1 \times 10) + (6 \times 1) + \Big(7 \times \dfrac{1}{10}\Big) + \Big(4 \times\dfrac{1}{100}\Big) \\[1em] = 10 + 6 + \dfrac{7}{10} + \dfrac{4}{100}$

∴ The expanded form of 16.74 is $\Big(10 + 6 + \dfrac{7}{10} + \dfrac{4}{100}\Big)$