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Use decimal expansion to write 320.75 in expanded form.Asked by DL
Use decimal expansion to write 320.75 in expanded form?
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Answered by
GPT-4o mini
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:
\[
300 + 20 + 0 + 0.7 + 0.05
\]
- 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:
\[
300 + 20 + 0 + 0.7 + 0.05
\]
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