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➕ Topic Summary
Subtracting negative decimals builds upon your understanding of subtracting integers and working with decimals. Remember that subtracting a negative number is the same as adding its positive counterpart. For example, $5 - (-2) = 5 + 2 = 7$. When dealing with decimals, ensure you align the decimal points correctly before performing the subtraction. Mastering this skill is crucial for more advanced math topics!
Think of a number line. Subtracting a negative decimal moves you to the right on the number line, increasing the value. Practice makes perfect, so let's dive in!
🔤 Part A: Vocabulary
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Decimal | a) A number expressed in base-10 notation, containing a whole number part and a fractional part separated by a decimal point. |
| 2. Negative Number | b) A real number that is less than zero. |
| 3. Subtraction | c) An arithmetic operation that represents the removal of objects from a collection. |
| 4. Integer | d) A whole number (not a fractional number) that can be positive, negative, or zero. |
| 5. Additive Inverse | e) The number that, when added to a given number, results in zero. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct terms:
When subtracting a ______ number, it's the same as ______ its positive. For example, $3.5 - (-1.2)$ becomes $3.5 + ______. Align the ______ points when working with decimals to ensure accurate calculations. The ______ inverse of -2.5 is 2.5.
🤔 Part C: Critical Thinking
Explain how subtracting a negative decimal is different from subtracting a positive decimal. Provide a real-world example to illustrate your explanation.
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