Compact and expanded form

One way to help us understand large numbers is to write the numerals in expanded form:

Compact form - 4326

Expanded form - 4000 + 300 + 20 + 6 or (4×1000) + (3×100) + (2×10) + (6×1)

How would you write 3452 in expanded form?

How do we do this for decimals? Easy!

Whole numbers			∙	Fractions/Decimals
Hundreds	Tens	Ones	∙	Tenths	Hundreths
	8	2	∙	3	7

We say 82.37 as “eighty two point three, seven”.

82.37 is the compact form.

In expanded form 82.37 = (8 × 10) + (2 × 1) + (3 × 0.1) + (7 × 0.01)

Or 80 + 2 + 0.3 + 0.07