Question

what is the expanded form of 23.75?

(5 x 10 ) + ( 7 x 1 ) + ( 3 x 1/10 ) + ( 2 × 1/100)

(2 × 10 ) + ( 3 x 1 ) + ( 5 x 1/10 ) + ( 7 x 1/100 )

( 2 x 10 ) + ( 3 x 1 ) + ( 7 × 1/10 ) + ( 5 × 1/100 )

( 2 x 10 ) + ( 3 x 1 ) + ( 7 × 1/ 10 1 ) + ( 5 × 1/10 2

Answer 1

To find the expanded form of 23.75, we break it down into its place values:

- The "2" is in the tens place, which represents \(2 \times 10\).
- The "3" is in the ones place, which represents \(3 \times 1\).
- The "7" is in the tenths place, which represents \(7 \times \frac{1}{10}\) or \(7 \times 0.1\).
- The "5" is in the hundredths place, which represents \(5 \times \frac{1}{100}\) or \(5 \times 0.01\).

Putting this together, the expanded form of 23.75 is:

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

This corresponds to the first option given:

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