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Order of Operations with Negative Numbers — Easy Worksheet 2
Grade 7 · MathSheets Name: ____________________ Date: __________
Evaluate each expression. Work inside parentheses and brackets first, then exponents, then multiply and divide from left to right, then add and subtract from left to right.
How to solve
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Example
(-9) + (-8) × (-3) = ___
Answer: 15
Not quite. The answer is
💡 Parentheses first: (−8) + 11 = 3. Then multiply: 3 × 9 = 27. The answer is 27.
✓ Correct!
Not quite. The answer is
💡 Parentheses first: (−8) + 11 = 3. Then multiply: 3 × 9 = 27. The answer is 27.
💡 How to solve: Order of Operations with Negative Numbers
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Try a similar one
(11 + 10) × 5 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply first: (−5) × (−3) = 15. Then add: 7 + 15 = 22. The answer is 22.
✓ Correct!
Not quite. The answer is
💡 Multiply first: (−5) × (−3) = 15. Then add: 7 + 15 = 22. The answer is 22.
💡 How to solve: Order of Operations with Negative Numbers
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Try a similar one
((-12) + (-9)) × (-6) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Parentheses first: (−12) − (−7) = (−12) + 7 = −5. Then multiply: 5 × (−5) = −25. The answer is −25.
✓ Correct!
Not quite. The answer is
💡 Parentheses first: (−12) − (−7) = (−12) + 7 = −5. Then multiply: 5 × (−5) = −25. The answer is −25.
💡 How to solve: Order of Operations with Negative Numbers
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Try a similar one
((-6) + (-8)) × 6 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Divide first: (−35) ÷ (−7) = 5. Then add: 5 + (−1) = 4. The answer is 4.
✓ Correct!
Not quite. The answer is
💡 Divide first: (−35) ÷ (−7) = 5. Then add: 5 + (−1) = 4. The answer is 4.
💡 How to solve: Order of Operations with Negative Numbers
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Try a similar one
((-7) + (-9)) × (-6) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Parentheses first: 10 − 26 = −16. Then divide: (−16) ÷ (−8) = 2. The answer is 2.
✓ Correct!
Not quite. The answer is
💡 Parentheses first: 10 − 26 = −16. Then divide: (−16) ÷ (−8) = 2. The answer is 2.
💡 How to solve: Order of Operations with Negative Numbers
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Try a similar one
(11 + 10) × (-4) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply first: 11 × (−5) = −55. Then subtract: 1 − (−55) = 1 + 55 = 56. The answer is 56.
✓ Correct!
Not quite. The answer is
💡 Multiply first: 11 × (−5) = −55. Then subtract: 1 − (−55) = 1 + 55 = 56. The answer is 56.
💡 How to solve: Order of Operations with Negative Numbers
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Try a similar one
((-6) + (-2)) × (-5) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Parentheses first: (−5) + 2 = −3. Then multiply: (−3) × (−7) = 21. The answer is 21.
✓ Correct!
Not quite. The answer is
💡 Parentheses first: (−5) + 2 = −3. Then multiply: (−3) × (−7) = 21. The answer is 21.
💡 How to solve: Order of Operations with Negative Numbers
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Try a similar one
((-12) + (-10)) × (-7) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Parentheses first: (−9) − 2 = −11. Then multiply: 3 × (−11) = −33. The answer is −33.
✓ Correct!
Not quite. The answer is
💡 Parentheses first: (−9) − 2 = −11. Then multiply: 3 × (−11) = −33. The answer is −33.
💡 How to solve: Order of Operations with Negative Numbers
Follow the order of operations: parentheses and brackets first (innermost first), then exponents, then multiplication and division from left to right, then addition and subtraction from left to right. Multiplication does not come before division: 24 ÷ 4 × 2 = 6 × 2 = 12. Watch the signs: a negative times a negative is positive, so (-3) × (-4) = 12. An exponent belongs only to what it touches: (-4)² = (-4) × (-4) = 16, but -4² means -(4 × 4) = -16. Treat absolute value bars like parentheses: |3 - 8| = |-5| = 5.
Try a similar one
((-1) + 9) × (-2) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Order of Operations with Negative Numbers — Easy Worksheet 2
Evaluate each expression. Work inside parentheses and brackets first, then exponents, then multiply and divide from left to right, then add and subtract from left to right.