Use decimal expansion to write 320.75 in expanded form?

Answer 1

To express the number 320.75 in expanded form using decimal expansion, we can break it down into its place values:

• The digit 3 is in the hundreds place, so it represents \(300\).
• The digit 2 is in the tens place, so it represents \(20\).
• The digit 0 is in the ones place, so it represents \(0\).
• The digit 7 is in the tenths place, so it represents \(0.7\).
• The digit 5 is in the hundredths place, so it represents \(0.05\).

Now, we combine these values together:

\[ 320.75 = 300 + 20 + 0 + 0.7 + 0.05 \]

Therefore, the expanded form of 320.75 is:

\[ 300 + 20 + 0 + 0.7 + 0.05 \]