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Here's a worksheet covering operations with integers, designed to be easily printable and suitable for various skill levels:
Instructions: Solve the following problems. Show your work where possible.
Section 1: Addition and Subtraction
- -5 + 8 =
- 12 - 15 =
- -7 + (-3) =
- -10 - (-4) =
- 25 + (-10) - 5 =
- -6 + 14 - (-2) =
- The temperature was -5°C. It rose by 11°C. What is the new temperature?
- A submarine is at -200 meters. It ascends 75 meters. What is its new depth?
Section 2: Multiplication and Division
- -6 × 4 =
- -8 × (-5) =
- 15 ÷ (-3) =
- -24 ÷ (-6) =
- (-3) × (-2) × 5 =
- 48 ÷ (-4) ÷ (-2) =
- A diver descends at a rate of -10 meters per minute. How far will the diver descend in 6 minutes?
- The temperature dropped 15°C in 3 hours. What was the average temperature drop per hour?
Section 3: Mixed Operations (Order of Operations)
Remember to follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
- -5 + 3 × (-2) =
- 10 - (6 ÷ (-2)) =
- (-4) × (-2) + 8 ÷ (-4) =
- 12 + (-5) × 2 - 4 =
- ( -8 + 4) ÷ (-2) × (-3) =
Answer Key: (This should be on a separate page or section, ideally hidden until after the student completes the worksheet)
Section 1: 1. 3, 2. -3, 3. -10, 4. -6, 5. 10, 6. 10, 7. 6°C, 8. -125 meters
Section 2: 1. -24, 2. 40, 3. -5, 4. 4, 5. 30, 6. 6, 7. -60 meters, 8. -5°C/hour
Section 3: 1. -11, 2. 13, 3. 6, 4. 2, 5. 6
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