Order of Operations (PEMDAS) — Definition & Examples
Read this topicExplanations 3
- (Video) Order of Operations by Math Antics This video by mathantics explains the acronym PEMDAS. Summary\large{\text{Summary}}Summary Order of operations is the order in which s…
By Alex Federspiel, Zora Gilbert, Moor Xu, Jonathan Heller, Caroline K, Joshua Siktar
- Evaluating Expressions with Two Operations There are four major mathematical operations: Once you've gotten yourself to algebra, it's pretty rare that a math problem involves on…
By Hannah Bonville, Alex Federspiel, Victor Wang, Michelle Newstadt, Vatsal Ojha, Jonathan Heller, Caroline K, Joshua Siktar
- What is "Order of Operations"? Let's first talk about what an "operation" is. An operation in math is any action that involves adding, subtracting, multiplying, dividing, raisin…
By Sarah Walker, Alex Federspiel, Jonathan Heller, Joshua Siktar
Problems 77
- Evaluate the expression 2+6×(5+7)÷4−132 + 6 \times (5 + 7) \div 4 - 132+6×(5+7)÷4−13 using the rules of order of operations.
- Find −6−(−1)5.\frac{-6-(-1)}{5}.5−6−(−1).
- Use order of operations to evaluate ((13+3)+(22÷2)2)+23.((13+3)+(22\div2)^2)+2^3.((13+3)+(22÷2)2)+23.
- Use order of operations to evaluate (52+(18÷9−3+62))−33.(5^2+(18\div9-3+6^2))-3^3.(52+(18÷9−3+62))−33.
- Use order of operations to evaluate ((8−6)+(20÷4))2×42.((8-6)+(20\div4))^2\times4^2.((8−6)+(20÷4))2×42.
- Use order of operations to evaluate the following: ((16−10)×5)2÷(10÷5)2((16-10)\times5)^2\div(10\div5)^2((16−10)×5)2÷(10÷5)2
- Use order of operations to find the value of the expression (12−4)×(12÷4)−6.(12-4)\times(12\div4)-6.(12−4)×(12÷4)−6.
- Use order of operations to evaluate the following expression: (((−100)÷(4))2−(−10))×(−1×−6)+(−10)\left(\left(\left(-100\right)\div\left(4\right)\right)^2-\left(-10\right)\right)…
- Evaluate 5×4+35\times4+35×4+3.
- Simplify 20÷5+620\div5+620÷5+6
- Simplify 12−4×312-4\times312−4×3
- Simplify 9−12×09-12\times09−12×0
- Simplify 3×(−2)÷33\times(-2)\div33×(−2)÷3
- Simplify (−5)×(−2)+(−3)(-5)\times(-2)+(-3)(−5)×(−2)+(−3)
- Simplify 2+28×12+28\times12+28×1
- Evaluate 24×10×36×50÷36÷24÷524 \times 10 \times 36 \times 50 \div 36 \div 24 \div 524×10×36×50÷36÷24÷5.
- Express (4−26+2)2\left(\frac{4-2}{6+2}\right)^2(6+24−2)2 in simplest form.
- Evaluate 3×6−5+49÷73\times6-5+49\div73×6−5+49÷7.
- Evaluate 64÷4+12×4+364\div4+12\times4+364÷4+12×4+3.
- Evaluate 55÷5+10×12+29−9+1555\div5+10\times12+29-9+1555÷5+10×12+29−9+15.
- Evaluate 6×(3+4)2−23−186\times(3+4)^2-23-186×(3+4)2−23−18.
- Evaluate 6+((12+43)×(14÷2))−216+((12+43)\times(14\div2))-216+((12+43)×(14÷2))−21.
- Evaluate 4×32+(49÷7+(8−3))4 \times 3^2+(49\div7+(8-3))4×32+(49÷7+(8−3)).
- Evaluate −18+(−12)×4-18 + (-12) \times 4−18+(−12)×4.
- Evaluate 1+2×4×6÷8+31+2\times4\times6\div8+31+2×4×6÷8+3.
- 6×2(5−72+2+8÷4)=6\times2(5-7^2+2+8\div4)=6×2(5−72+2+8÷4)=
- Evaluate −567+(−8)×9-567+(-8)\times 9−567+(−8)×9.
- Find 4⋅(0.5)2−2\frac{4\cdot\left(0.5\right)^2}{-2}−24⋅(0.5)2
- Simplify 5+6×25+6\times25+6×2
- Simplify 4−2×44 - 2 \times 44−2×4
- Simplify 1−2÷41 - 2 \div 41−2÷4
- Simplify 2.5−6÷32.5 - 6\div 32.5−6÷3
- Simplify 5+6÷(−2)5 + 6\div (-2)5+6÷(−2)
- Simplify −10+(−100)÷20-10 + (-100)\div 20−10+(−100)÷20
- Simplify 5×(2+3)5\times(2+3)5×(2+3)
- Simplify 8÷(11−3)8\div(11-3)8÷(11−3)
- Simplify (−4)÷(−2−3)(-4)\div(-2-3)(−4)÷(−2−3)
- Simplify (−2−1)×2(-2-1)\times2(−2−1)×2
- Simplify 1+(−3)21+(-3)^21+(−3)2
- Simplify (1−3)2(1-3)^2(1−3)2
- Simplify (−2×5)3(-2\times5)^3(−2×5)3
- Simplify (12÷6)2(12\div6)^2(12÷6)2
- Simplify (−1)2+3(-1)^2+3(−1)2+3
- Use order of operations to evaluate (2+1)2+6÷2(2+1)^2+6\div2(2+1)2+6÷2
- Use order of operations to evaluate (4÷2)2+4×(−2)(4\div2)^2+4\times(-2)(4÷2)2+4×(−2)
- Use order of operations to evaluate ((12+3)+(10÷2)2)−52((12+3)+(10\div2)^2)-5^2((12+3)+(10÷2)2)−52
- Use order of operations to evaluate 32+18÷9+(−2)2−423^2+18\div9+(-2)^2-4^232+18÷9+(−2)2−42
- Use order of operations to evaluate (23+(10÷2+52))−4÷2(2^3+(10\div2+5^2))-4\div2(23+(10÷2+52))−4÷2
- Use order of operations to evaluate 5+2×8÷22+(2−3)5+2 \times 8\div2^2+(2-3)5+2×8÷22+(2−3).
- Use order of operations to evaluate 10+4×32÷2−(2+6)10+4\times3^2\div2-(2+6)10+4×32÷2−(2+6)
- Use order of operations to evaluate (2+4)×3×22−(4+2)÷2(2+4)\times3\times2^2-(4+2)\div2(2+4)×3×22−(4+2)÷2
- Use order of operations to evaluate 12÷3+5−4×212\div3+5-4\times212÷3+5−4×2
- Use order of operations to evaluate 6×(3+1)÷46\times(3+1)\div46×(3+1)÷4
- Use order of operations to evaluate ((22−1)2−1)2((2^2-1)^2-1)^2((22−1)2−1)2
- Use order of operations to evaluate 2−(12÷4)2÷(4+5)−12-(12\div4)^2\div(4+5)-12−(12÷4)2÷(4+5)−1
- Evaluate (8+3×4)÷(3×2+4)(8 + 3 \times 4) \div (3 \times 2+ 4)(8+3×4)÷(3×2+4).
- Evaluate ((104÷52)+198)×20((104 \div 52) + 198) \times 20((104÷52)+198)×20.
- Compute (9+120−8)÷7(9 + 120 - 8) \div 7(9+120−8)÷7.
- Evaluate (3+5)÷8×7(3 + 5) \div 8 \times 7(3+5)÷8×7.
- Evaluate 6×(3+13)6 \times (3 + 13)6×(3+13).
- Evaluate 837−(81×4)837 - (81 \times 4)837−(81×4).
- Evaluate (81−34)×(39+89)(81 - 34) \times (39 + 89)(81−34)×(39+89).
- Evaluate 948+(7×95)948 + (7 \times 95)948+(7×95).
- Evaluate 2×(84÷7)2 \times (84 \div 7)2×(84÷7).
- Evaluate 7×(58+6)7 \times (58 +6)7×(58+6).
- Evaluate (325,908−9,408)×71(325{,}908-9{,}408) \times 71(325,908−9,408)×71.
- Evaluate 24÷23–78+6224 \div 2^3 – 78 + 6^224÷23–78+62.
- Simplify: (23)−1⋅(62)2\left(2^3\right)^{-1}\cdot\left(6^2\right)^2(23)−1⋅(62)2
- Evaluate (20)×6+1(2^0)\times 6+1(20)×6+1.
- Evaluate (66/3)+1×9(66/3)+1 \times 9(66/3)+1×9.
- Evaluate 9×11+19 \times 11+19×11+1.
- Evaluate 3×15+43 \times 15 + 43×15+4.
- What number should you set your laser to?
- How many integers are between the following expressions on the number line, not including the endpoints? 7×−1and1+(3×2)7 \times -1\quad\text{and}\quad1+(3\times2)7×−1and1+(3×2)
- Evaluate (48×2−36+4)÷2(48\times 2 - 36 + 4)\div 2(48×2−36+4)÷2.
- Evaluate –5+9⋅(–8–1)+3–5 + 9 \cdot (–8 – 1) + 3–5+9⋅(–8–1)+3.
- Hungry Jack is enjoying an all-you-can eat pancake buffet at Peppy's Pancake House in celebration of National Pancake Day (March 5). He starts by taking two plates to the buffet…