Write each of the following decimals into expanded form :

2314.57

We have:

2314.57 = 2000 + 300 + 10 + 4 + 0.5 + 0.07 [Separating according to place values]

$= (2 \times 1000) + (3 \times 100) + (1 \times 10) + (4 \times 1) + \Big(5 \times \dfrac{1}{10}\Big) + \Big(7 \times \dfrac{1}{100}\Big) \\[1em] = 2000 + 300 + 10 + 4 + \dfrac{5}{10} + \dfrac{7}{100}$

∴ The expanded form of 2314.57 is $\Big(2000 + 300 + 10 + 4 + \dfrac{5}{10} + \dfrac{7}{100}\Big)$