Question
How is 263.772 written in expanded notation?
Answers
GPT-4o mini
To write the number 263.772 in expanded notation, we express each digit based on its place value.
The expanded notation for 263.772 is:
\[
200 + 60 + 3 + 0.7 + 0.07 + 0.002
\]
Here's the breakdown:
- **2** is in the hundreds place: \(2 \times 100 = 200\)
- **6** is in the tens place: \(6 \times 10 = 60\)
- **3** is in the ones place: \(3 \times 1 = 3\)
- **7** is in the tenths place: \(7 \times 0.1 = 0.7\)
- **7** is in the hundredths place: \(7 \times 0.01 = 0.07\)
- **2** is in the thousandths place: \(2 \times 0.001 = 0.002\)
So, the final expanded notation is:
\[
200 + 60 + 3 + 0.7 + 0.07 + 0.002
\]
The expanded notation for 263.772 is:
\[
200 + 60 + 3 + 0.7 + 0.07 + 0.002
\]
Here's the breakdown:
- **2** is in the hundreds place: \(2 \times 100 = 200\)
- **6** is in the tens place: \(6 \times 10 = 60\)
- **3** is in the ones place: \(3 \times 1 = 3\)
- **7** is in the tenths place: \(7 \times 0.1 = 0.7\)
- **7** is in the hundredths place: \(7 \times 0.01 = 0.07\)
- **2** is in the thousandths place: \(2 \times 0.001 = 0.002\)
So, the final expanded notation is:
\[
200 + 60 + 3 + 0.7 + 0.07 + 0.002
\]