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)

3 answers

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:

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

which one?

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.