The expanded form of 8.24 shows the value of each digit based on its place value. The digits after the decimal represent tenths, hundredths, and thousandths.
8.24 = 8 + 0.2 + 0.04
or,
8.24 = 8 x 1 + 2 x 1/10 + 4 x 1/100
Let’s break down the number 8.24 by place value.
| Digit | Place Value | Value |
| 8 | Ones | 8 x 1 = 8 |
| 2 | Tenths | 2 x 0.1 = 0.2 |
| 4 | Hundredths | 4 x 0.01 = 0.04 |
When we add these values together:
8 + 0.2 + 0.04 = 8.24
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