Question
What is the expanded form of 8,471.716?(1 point) 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 (8×1,000)+(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) 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 1 End Fraction right parenthesis plus left parenthesis 1 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 6 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
Answers
GPT-4o mini
To express the number 8,471.716 in expanded form, we break it down according to the place value of each digit.
The number 8,471.716 can be split as follows:
- The digit 8 is in the thousands place: 8 × 1,000
- The digit 4 is in the hundreds place: 4 × 100
- The digit 7 is in the tens place: 7 × 10
- The digit 1 is in the ones place: 1 × 1
- The digit 7 is in the tenths place: 7 × 1/10 (or 7 × 0.1)
- The digit 1 is in the hundredths place: 1 × 1/100 (or 1 × 0.01)
- The digit 6 is in the thousandths place: 6 × 1/1000 (or 6 × 0.001)
Putting it all together, the expanded form of 8,471.716 is:
(8 × 1,000) + (4 × 100) + (7 × 10) + (1 × 1) + (7 × 1/10) + (1 × 1/100) + (6 × 1/1,000)
Thus, the correct response matches the expression:
(8×1,000) + (4×100) + (7×10) + (1×1) + (7×1/10) + (1×1/100) + (6×1/1,000)
The number 8,471.716 can be split as follows:
- The digit 8 is in the thousands place: 8 × 1,000
- The digit 4 is in the hundreds place: 4 × 100
- The digit 7 is in the tens place: 7 × 10
- The digit 1 is in the ones place: 1 × 1
- The digit 7 is in the tenths place: 7 × 1/10 (or 7 × 0.1)
- The digit 1 is in the hundredths place: 1 × 1/100 (or 1 × 0.01)
- The digit 6 is in the thousandths place: 6 × 1/1000 (or 6 × 0.001)
Putting it all together, the expanded form of 8,471.716 is:
(8 × 1,000) + (4 × 100) + (7 × 10) + (1 × 1) + (7 × 1/10) + (1 × 1/100) + (6 × 1/1,000)
Thus, the correct response matches the expression:
(8×1,000) + (4×100) + (7×10) + (1×1) + (7×1/10) + (1×1/100) + (6×1/1,000)