Question

What is the expanded form of 23.75?

(5×10)+(7×1)+(3×1/10)+(2×1/100)

(2×10)+(3×1)+(7×1/10 to the power of 1)+(5×1/102)

(2×10)+(3×1)+(5×1/10)+(7×1/100)

(2×10)+(3×1)+(7×1/10)+(5×1/100)

Answer 1

The expanded form of 23.75 can be analyzed based on the place values of each digit.

- The number 23.75 consists of:
- **2** in the tens place, representing \(2 \times 10\)
- **3** in the ones place, representing \(3 \times 1\)
- **7** in the tenths place, representing \(7 \times \frac{1}{10}\)
- **5** in the hundredths place, representing \(5 \times \frac{1}{100}\)

Putting this together gives:

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

So, the correct option that represents the expanded form of 23.75 is:

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

Thus, the answer is:

**(2×10)+(3×1)+(7×1/10)+(5×1/100)**