Question

What is the expanded form of 23.75
2 x 10 ) + ( 3 x 1 ) + ( 5 x 1/10 ) ( 7 x 1/100 )

Answer 1

To express 23.75 in expanded form, we can break it down into its place values as follows:

1. The digit '2' is in the tens place, so it represents \(2 \times 10\).
2. The digit '3' is in the ones place, so it represents \(3 \times 1\).
3. The digit '7' is in the tenths place, so it represents \(7 \times \frac{1}{10}\).
4. The digit '5' is in the hundredths place, so it represents \(5 \times \frac{1}{100}\).

Putting it all 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 can be written concisely as:

\[
(2 \times 10) + (3 \times 1) + (7 \times 0.1) + (5 \times 0.01)
\]

So the complete expanded form of 23.75 is:

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