Answer :
To express the number 7592.78 in expanded form, we can break it down into its individual components based on place value. Here's how you can do it step-by-step:
1. Identify the place values for the whole number part (7592):
- Thousands place: The digit in the thousands place is 7, so the value is 7000.
- Hundreds place: The digit in the hundreds place is 5, so the value is 500.
- Tens place: The digit in the tens place is 9, so the value is 90.
- Ones place: The digit in the ones place is 2, so the value is 2.
2. Identify the place values for the decimal part (.78):
- Tenths place: The digit in the tenths place is 7, so the value is 0.7.
- Hundredths place: The digit in the hundredths place is 8, so the value is 0.08.
3. Combine these values to express the number in expanded form:
- Add all the values together:
7000 (thousands)
+ 500 (hundreds)
+ 90 (tens)
+ 2 (ones)
+ 0.7 (tenths)
+ 0.08 (hundredths)
The expanded form of 7592.78 is:
7000 + 500 + 90 + 2 + 0.7 + 0.08
This represents the original number by showing the value contributed by each digit according to its place value.
1. Identify the place values for the whole number part (7592):
- Thousands place: The digit in the thousands place is 7, so the value is 7000.
- Hundreds place: The digit in the hundreds place is 5, so the value is 500.
- Tens place: The digit in the tens place is 9, so the value is 90.
- Ones place: The digit in the ones place is 2, so the value is 2.
2. Identify the place values for the decimal part (.78):
- Tenths place: The digit in the tenths place is 7, so the value is 0.7.
- Hundredths place: The digit in the hundredths place is 8, so the value is 0.08.
3. Combine these values to express the number in expanded form:
- Add all the values together:
7000 (thousands)
+ 500 (hundreds)
+ 90 (tens)
+ 2 (ones)
+ 0.7 (tenths)
+ 0.08 (hundredths)
The expanded form of 7592.78 is:
7000 + 500 + 90 + 2 + 0.7 + 0.08
This represents the original number by showing the value contributed by each digit according to its place value.
