What is 83.34 written in expanded form?
The Correct Answer and Explanation is:
To write the number 83.34 in expanded form, we break it down according to the place value of each digit. The expanded form represents a number as a sum of its parts, showing the contribution of each digit based on its position in the overall number.
Breakdown of 83.34:
- Whole Number Part: The number 83 can be split into its components:
- The digit 8 is in the tens place, which means it represents 80 (8 × 10).
- The digit 3 is in the units (or ones) place, which means it represents 3 (3 × 1).
Thus, the whole number part 83 can be expressed in expanded form as: - (80 + 3).
- Decimal Part: The number 0.34 can also be expressed in expanded form:
- The digit 3 is in the tenths place, which means it represents 0.3 (3 × 0.1).
- The digit 4 is in the hundredths place, which means it represents 0.04 (4 × 0.01).
Thus, the decimal part 0.34 can be expressed in expanded form as: - (0.3 + 0.04).
Combining Both Parts:
Now, we can combine the expanded forms of both the whole number and the decimal part to get the complete expanded form of 83.34.
The final expanded form is:
[
80 + 3 + 0.3 + 0.04.
]
Summary:
In summary, writing 83.34 in expanded form helps clarify the value of each digit based on its position. This approach aids in understanding the composition of numbers, particularly for educational purposes such as teaching place value concepts in mathematics. Expanded form is also useful in various mathematical operations, such as addition and subtraction, as it simplifies calculations by allowing the handling of each component separately. Understanding expanded form enhances numerical literacy, allowing for better comprehension of both whole and decimal numbers.