What is the expanded form of 8,471.716?(1 point)

Question

Responses

(8×1,000)+(4×100)+(7×10)+(1×1)+(7×110)+(1×1100)
left parenthesis 8 times 1,000 right parenthesis plus left parenthesis 4 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 1 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 100 End Fraction right parenthesis

(8×103)+(4×102)+(7×101)+(1×100)+(7×1101)+(1×1102)+(6×1103)
left parenthesis 8 times 10 cubed right parenthesis plus left parenthesis 4 times 10 squared right parenthesis plus left parenthesis 7 times 10 superscript 1 baseline right parenthesis plus left parenthesis 1 times 10 superscript 0 baseline right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 superscript 1 baseline End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 10 squared End Fraction right parenthesis plus left parenthesis 6 times Start Fraction 1 over 10 cubed End Fraction right parenthesis

(8×1,000)+(4×100)+(7×10)+(1×1)+(7×110)+(1×1100)+(6×11,000)
left parenthesis 8 times 1,000 right parenthesis plus left parenthesis 4 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 1 times 1 right parenthesis plus left parenthesis 7 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 100 End Fraction right parenthesis plus left parenthesis 6 times Start Fraction 1 over 1,000 End Fraction right parenthesis

(8×1,000)+(4×100)+(7×10)+(1×1)+(7×11)+(1×110)+(6×1100)

Answer 1

The expanded form of the number 8,471.716 can be expressed by breaking it down according to the place value of each digit.

Let's break it down:

• The digit 8 is in the thousands place, so it represents \(8 \times 1000\).
• The digit 4 is in the hundreds place, so it represents \(4 \times 100\).
• The digit 7 is in the tens place, so it represents \(7 \times 10\).
• The digit 1 is in the ones place, so it represents \(1 \times 1\).
• The digit 7 is in the tenths place, so it represents \(7 \times \frac{1}{10}\).
• The digit 1 is in the hundredths place, so it represents \(1 \times \frac{1}{100}\).
• The digit 6 is in the thousandths place, so it represents \(6 \times \frac{1}{1000}\).

Putting it all together, the expanded form is:

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

Among the options provided, the correct response is:

(8×1,000)+(4×100)+(7×10)+(1×1)+(7×(1/10))+(1×(1/100))+(6×(1/1000)).