Question

26.509 in expanded form

Answer 1

longer expanded form

Answer 2

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.

Answer 3

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.