Integer operations involve performing mathematical operations like addition, subtraction, multiplication, and division with integers (positive and negative whole numbers, including zero). The key is understanding the rules for dealing with positive and negative signs. For example, adding a negative number is the same as subtracting a positive number, and multiplying two negative numbers results in a positive number.
Mastering these operations is essential for more advanced math concepts. Think of integers as temperatures above and below zero, or money gained and spent. Understanding how they work together makes solving equations much easier!
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Integer | A. The distance of a number from zero. |
| 2. Absolute Value | B. The result of division. |
| 3. Sum | C. A whole number (not a fraction) that can be positive, negative, or zero. |
| 4. Difference | D. The result of addition. |
| 5. Quotient | E. The result of subtraction. |
When adding two integers with the same sign, the result has the ______ sign. When adding two integers with different signs, you subtract their absolute values and use the sign of the integer with the larger ______ ______. Multiplying or dividing two integers with the same sign results in a ______ answer. Multiplying or dividing two integers with different signs results in a ______ answer. Zero is neither ______ nor negative.
Explain how you would solve the following problem using the order of operations (PEMDAS/BODMAS): $3 + (-2) \times 4 - (-5)$
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