Question

What is the expanded form of 23.75?

options:

(2 × 10) + (3 × 1) + (5 × 1 over 10) + (7×1 over 100)

(2 × 10) + (3 × 1) + (7 × 1 over 10) + (5 × 1 over 100)

(2 × 10) + (3 × 1) + (7 × 1 over 10^1) + (5 × 1 over 10^2)

(5 × 10) + (7 × 1) + (3 × 1 over 10) + (2 × 1 over 100)

Answer 1

The expanded form of a number expresses it as the sum of each digit multiplied by its place value. For the number 23.75, we can break it down as follows:

- The '2' is in the tens place: \(2 \times 10\)
- The '3' is in the ones place: \(3 \times 1\)
- The '7' is in the tenths place: \(7 \times \frac{1}{10}\) (or \(7 \times 10^{-1}\))
- The '5' is in the hundredths place: \(5 \times \frac{1}{100}\) (or \(5 \times 10^{-2}\))

So the complete expanded form of 23.75 is:

\[
(2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]

Thus, the correct option is:

**(2 × 10) + (3 × 1) + (7 × 1 over 10) + (5 × 1 over 100)**