what is the expanded form of 8,471.716?

Question

(8 x 1000) + ( 4 × 100) + ( 7 × 10 ) + ( 1 × 1 ) + ( 7 x 1/10) + ( 1 x 1/100)

(8 × 1000) + ( 4 × 100) + ( 7 × 10) + ( 1 × 1) + (7 × 1/10) + (1 × 1/100) + ( 6 x 1/1000)

(8 x 10 3) + ( 4 × 10 2 ) + ( 7 × 10 1) + ( 1 × 10 0) + ( 7 × 1/10 1) + (1 × 1/10 2 + (6 x 1/10 3 )

( 8 x 1000) + ( 4 x 100 ) + ( 7 × 10 ) + ( 1 x 1 ) + ( 7 × 1/1 ) + ( 7 x 1/1 ) + ( 1 × 1/10 ) + ( 6 x 1/100)

Answer 1

The correct expanded form of the number 8,471.716 is represented as follows:

\[ (8 \times 1000) + (4 \times 100) + (7 \times 10) + (1 \times 1) + (7 \times \frac{1}{10}) + (1 \times \frac{1}{100}) + (6 \times \frac{1}{1000}) \]

This corresponds to the first option in your list.

To break it down:

• 8,000 is contributed by \( 8 \times 1000 \).
• 400 is contributed by \( 4 \times 100 \).
• 70 is contributed by \( 7 \times 10 \).
• 1 is contributed by \( 1 \times 1 \).
• 0.7 is contributed by \( 7 \times \frac{1}{10} \) (which is 0.7).
• 0.01 is contributed by \( 1 \times \frac{1}{100} \) (which is 0.01).
• 0.006 is contributed by \( 6 \times \frac{1}{1000} \) (which is 0.006).

Putting it all together gives you the number 8,471.716.