To find the expanded form of the number 8,471.716, we can break it down into its place values.
- 8 is in the thousands place (8 x 1,000)
- 4 is in the hundreds place (4 x 100)
- 7 is in the tens place (7 x 10)
- 1 is in the units or ones place (1 x 1)
- 7 in the tenths place (7 x 1/10)
- 1 in the hundredths place (1 x 1/100)
- 6 in the thousandths place (6 x 1/1000)
So, the expanded form can be written as:
8 x 1,000 + 4 x 100 + 7 x 10 + 1 x 1 + 7 x 1/10 + 1 x 1/100 + 6 x 1/1000
Now let's examine the options:
A: 8x1,000 + 4x100 + 7x10 + 1x1 + 7x1/10 + 6x1/100
B: 8x1000 + 4x100 + 7x10 + 1x1 + 7x1/10 + 1x1/100 + 6x1/1000
C: 8x1000 + 4x100 + 7x100 + 1x10 + 7x1/100 + 1x1/100 + 6x1/1000
D: 8x1000 + 4x100 + 7x10 + 1x1 + 7x10 + 1x100
The correct expanded form among the options matches choice B:
8x1000 + 4x100 + 7x10 + 1x1 + 7x1/10 + 1x1/100 + 6x1/1000.
3 answers