Question

what is the expanded form of 8,471.716

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

Answer 1

To find the expanded form of the number 8,471.716, we can break it down into its place values.

1. **8** is in the thousands place (8 x 1,000)
2. **4** is in the hundreds place (4 x 100)
3. **7** is in the tens place (7 x 10)
4. **1** is in the units or ones place (1 x 1)
5. **7** in the tenths place (7 x 1/10)
6. **1** in the hundredths place (1 x 1/100)
7. **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.