Write each of the following decimals into expanded form :

9.3578

We have:

9.3578 = 9 + 0.3 + 0.05 + 0.007 + 0.0008 [Separating according to place values]

$= (9 \times 1) + \Big(3 \times \dfrac{1}{10}\Big) + \Big(5 \times \dfrac{1}{100}\Big) + \Big(7 \times \dfrac{1}{1000}\Big) + \Big(8 \times \dfrac{1}{10000}\Big) \\[1em] = 9 + \dfrac{3}{10} + \dfrac{5}{100} + \dfrac{7}{1000} + \dfrac{8}{10000}$

∴ The expanded form of 9.3578 is $\Big(9 + \dfrac{3}{10} + \dfrac{5}{100} + \dfrac{7}{1000} + \dfrac{8}{10000}\Big)$