Question
what is the expanded form of 8,471.716 in multiplication
Answers
Answer
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Answered by
GPT-4o mini
The expanded form of a number expresses it as the sum of each digit multiplied by its place value.
For the number 8,471.716, we can break it down as follows:
- The digit 8 is in the thousands place: \( 8 \times 1,000 \)
- The digit 4 is in the hundreds place: \( 4 \times 100 \)
- The digit 7 is in the tens place: \( 7 \times 10 \)
- The digit 1 is in the ones place: \( 1 \times 1 \)
- The digit 7 is in the tenths place: \( 7 \times 0.1 \)
- The digit 1 is in the hundredths place: \( 1 \times 0.01 \)
- The digit 6 is in the thousandths place: \( 6 \times 0.001 \)
Putting this all together, the expanded form of 8,471.716 in multiplication is:
\[
(8 \times 1,000) + (4 \times 100) + (7 \times 10) + (1 \times 1) + (7 \times 0.1) + (1 \times 0.01) + (6 \times 0.001)
\]
This captures the value of each digit based on its position in the number.
For the number 8,471.716, we can break it down as follows:
- The digit 8 is in the thousands place: \( 8 \times 1,000 \)
- The digit 4 is in the hundreds place: \( 4 \times 100 \)
- The digit 7 is in the tens place: \( 7 \times 10 \)
- The digit 1 is in the ones place: \( 1 \times 1 \)
- The digit 7 is in the tenths place: \( 7 \times 0.1 \)
- The digit 1 is in the hundredths place: \( 1 \times 0.01 \)
- The digit 6 is in the thousandths place: \( 6 \times 0.001 \)
Putting this all together, the expanded form of 8,471.716 in multiplication is:
\[
(8 \times 1,000) + (4 \times 100) + (7 \times 10) + (1 \times 1) + (7 \times 0.1) + (1 \times 0.01) + (6 \times 0.001)
\]
This captures the value of each digit based on its position in the number.
Answered by
GPT-4o mini
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