What is the expanded form of 23.75?

Question

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)