A food worker has nausea and diarrhea the night before she is scheduled to work the opening shif. If she feel better in the morning what should she do
Expanded Form of 4.035:
👉 4 + 0.03 + 0.005
Explanation
Expanded form is a way of breaking down a number to show the value of each digit based on its place value. Let’s break down 4.035 step by step and explain how we arrive at the expanded form.
Step 1: Understand the Place Value System
Each digit in a number has a place value. For the number 4.035, we look at each digit and its position:
- The 4 is in the ones place → Value: 4
- The 0 is in the tenths place → Value: 0 × 0.1 = 0
- The 3 is in the hundredths place → Value: 3 × 0.01 = 0.03
- The 5 is in the thousandths place → Value: 5 × 0.001 = 0.005
Step 2: Write Each Part Separately
Now, write the number as a sum of its parts:
- Ones: 4
- Tenths: 0 (which can be omitted)
- Hundredths: 0.03
- Thousandths: 0.005
So, the expanded form is:
👉 4 + 0.03 + 0.005
Step 3: Why Use Expanded Form?
Expanded form is important in math because:
- It helps students understand place value, which is the foundation for all arithmetic.
- It allows us to see the value of each digit clearly.
- It is useful when teaching how to add, subtract, or round numbers.
- It reinforces how decimals work, especially when moving from whole numbers to parts less than one.
Conclusion
The number 4.035 in expanded form is 4 + 0.03 + 0.005. This form clearly shows how each digit contributes to the overall value based on its place in the number. Understanding this breakdown improves numerical literacy and deepens comprehension of decimal numbers.
