What is 8.478 in expanded form?

The expanded form of 8.478 shows the value of each digit based on its place value. The digits after the decimal represent tenths, hundredths, and thousandths

What is 8.478 in expanded form?

8.478 = 8 + 0.4 + 0.07 + 0.008

or,

8.478 = 8 x 1 + 4 x 1/10 + 7 x 1/100 + 8 x 1/1000

Let’s break down the number 8.478 by place value.

DigitPlace ValueValue
8Ones8 x 1 = 8
4Tenths4 x 0.1 = 0.4
7Hundredths7 x 0.01 = 0.07
8Thousandths8 x 0.001 = 0.008

When we add these values together:

8 + 0.4 + 0.07 + 0.008 = 8.478


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