Question
What is the expanded form of eight, 471.716?
Answers
GPT-4o mini
The expanded form of a number expresses it as a sum of its individual place values. For the number 8,471.716, the expanded form is:
\[
8000 + 400 + 70 + 1 + 0.7 + 0.01 + 0.006
\]
Each component represents the value of its respective digit in the number:
- 8 is in the thousands place (8 x 1000 = 8000)
- 4 is in the hundreds place (4 x 100 = 400)
- 7 is in the tens place (7 x 10 = 70)
- 1 is in the units place (1 x 1 = 1)
- 7 is in the tenths place (7 x 0.1 = 0.7)
- 1 is in the hundredths place (1 x 0.01 = 0.01)
- 6 is in the thousandths place (6 x 0.001 = 0.006)
Thus, the complete expanded form is:
\[
8000 + 400 + 70 + 1 + 0.7 + 0.01 + 0.006
\]
\[
8000 + 400 + 70 + 1 + 0.7 + 0.01 + 0.006
\]
Each component represents the value of its respective digit in the number:
- 8 is in the thousands place (8 x 1000 = 8000)
- 4 is in the hundreds place (4 x 100 = 400)
- 7 is in the tens place (7 x 10 = 70)
- 1 is in the units place (1 x 1 = 1)
- 7 is in the tenths place (7 x 0.1 = 0.7)
- 1 is in the hundredths place (1 x 0.01 = 0.01)
- 6 is in the thousandths place (6 x 0.001 = 0.006)
Thus, the complete expanded form is:
\[
8000 + 400 + 70 + 1 + 0.7 + 0.01 + 0.006
\]