Rewrite 4,703.601 in expanded form.
The Correct Answer and Explanation is:
To express the number 4,703.601 in expanded form, we break it down into its individual place values. Expanded form is a way of writing numbers to show the value of each digit.
The number 4,703.601 consists of both whole numbers and decimal parts. Let’s separate them:
Whole Number Part: 4,703
- 4 is in the thousands place, representing (4 \times 1,000 = 4,000).
- 7 is in the hundreds place, representing (7 \times 100 = 700).
- 0 is in the tens place, representing (0 \times 10 = 0).
- 3 is in the ones place, representing (3 \times 1 = 3).
Putting these together, the expanded form for the whole number part is:
[
4,703 = 4,000 + 700 + 0 + 3
]
Decimal Part: 0.601
- 6 is in the tenths place, representing (6 \times 0.1 = 0.6).
- 0 is in the hundredths place, representing (0 \times 0.01 = 0).
- 1 is in the thousandths place, representing (1 \times 0.001 = 0.001).
Putting these together, the expanded form for the decimal part is:
[
0.601 = 0.6 + 0 + 0.001
]
Final Expanded Form
Now, combining both the whole number and decimal parts, we can write the complete expanded form of 4,703.601 as follows:
[
4,703.601 = (4,000 + 700 + 0 + 3) + (0.6 + 0 + 0.001)
]
In summary, the expanded form of 4,703.601 is:
[
4,703.601 = 4,000 + 700 + 0 + 3 + 0.6 + 0 + 0.001
]
This representation helps to understand the value of each digit in the context of its place value, making it easier to comprehend large numbers and their respective decimal parts. Understanding expanded form is essential in mathematics as it lays the foundation for further numerical operations and helps with clarity in various calculations.