Question
26.509 in expanded form
Answers
GPT-4o mini
The number 26.509 in expanded form can be expressed as:
\[
20 + 6 + 0.5 + 0.009
\]
This breaks down each digit according to its place value:
- 20 represents the 2 in the tens place,
- 6 represents the 6 in the units place,
- 0.5 represents the 5 in the tenths place,
- 0.009 represents the 9 in the thousandths place.
\[
20 + 6 + 0.5 + 0.009
\]
This breaks down each digit according to its place value:
- 20 represents the 2 in the tens place,
- 6 represents the 6 in the units place,
- 0.5 represents the 5 in the tenths place,
- 0.009 represents the 9 in the thousandths place.
longer expanded form
GPT-4o mini
To write 26.509 in a longer expanded form, we can break down each digit even further by explicitly stating the value of each digit based on its position. Here’s the expanded form with more detail:
\[
(2 \times 10) + (6 \times 1) + (5 \times 0.1) + (0 \times 0.01) + (9 \times 0.001)
\]
In words, this means:
- \(2 \times 10\) represents the "20" from the tens place,
- \(6 \times 1\) represents the "6" from the units place,
- \(5 \times 0.1\) represents the "0.5" from the tenths place,
- \(0 \times 0.01\) represents the "0" from the hundredths place (although it contributes nothing, it's included for clarity),
- \(9 \times 0.001\) represents the "0.009" from the thousandths place.
This detailed representation shows how each digit contributes to the overall value of the number.
\[
(2 \times 10) + (6 \times 1) + (5 \times 0.1) + (0 \times 0.01) + (9 \times 0.001)
\]
In words, this means:
- \(2 \times 10\) represents the "20" from the tens place,
- \(6 \times 1\) represents the "6" from the units place,
- \(5 \times 0.1\) represents the "0.5" from the tenths place,
- \(0 \times 0.01\) represents the "0" from the hundredths place (although it contributes nothing, it's included for clarity),
- \(9 \times 0.001\) represents the "0.009" from the thousandths place.
This detailed representation shows how each digit contributes to the overall value of the number.