Question

write the expanded form of 357.25
A.(3 x 100)+(5 x 10)+(7 x 1)+(2 x 1/10)+(5 x 1/100)
B.(3 x 100)+(5 x 10)+(7 x 1)+(2 x 1/10)+(2 x 1/100)
C.(3 x 100)+(5 x 10)+(7 x 1)+(5 x 1/10)+(2 x 1/100)
D.(3 x 100)+(5 x 10)+(7 x 1)+(2 x 10/10)+(5 x 1/1,000)

Answer 1

which one?

Answer 2

To write the number 357.25 in expanded form, we need to break it down into its place values:

- The '3' is in the hundreds place: \(3 \times 100\)
- The '5' is in the tens place: \(5 \times 10\)
- The '7' is in the ones place: \(7 \times 1\)
- The '2' is in the tenths place (which is \(0.1\) or \(1/10\)): \(2 \times \frac{1}{10}\)
- The '5' is in the hundredths place (which is \(0.01\) or \(1/100\)): \(5 \times \frac{1}{100}\)

Putting it all together, the expanded form is:

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

Now, let's match this with the given options:

A. \((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})\)

B. \((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (2 \times \frac{1}{100})\)

C. \((3 \times 100) + (5 \times 10) + (7 \times 1) + (5 \times \frac{1}{10}) + (2 \times \frac{1}{100})\)

D. \((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{10}{10}) + (5 \times \frac{1}{1,000})\)

The correct option is **A**:

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

Answer 3

The correct expanded form of the number 357.25 is:

**A.** \((3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})\)

This option accurately represents each digit's value based on its position in the number.