📚 Topic Summary
The expanded form of a decimal shows the value of each digit. It breaks down the decimal into its individual place values (ones, tenths, hundredths, etc.). To write a decimal in expanded form, you multiply each digit by its place value and then add all the values together. For example, the number 3.25 in expanded form is (3 x 1) + (2 x 0.1) + (5 x 0.01).
Understanding expanded form helps us see how each digit contributes to the overall value of the number. It’s a great way to strengthen your understanding of place value!
🔤 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Tenths |
A. The value of a digit based on its position in a number. |
| 2. Hundredths |
B. One of ten equal parts of a whole. |
| 3. Thousandths |
C. One of a hundred equal parts of a whole. |
| 4. Place Value |
D. The digits to the right of the decimal point. |
| 5. Decimal Places |
E. One of a thousand equal parts of a whole. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words provided: place value, digits, expanded form, decimal, whole.
A ______ is a number that includes a ______ point. The ______ to the right of the decimal point represent fractions of a ______. Writing a number in ______ shows the value of each digit based on its ______.
🤔 Part C: Critical Thinking
Explain why understanding the expanded form of decimals is important in real-life situations. Provide at least two examples.