Order of Operations - Pre-Algebra
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Remember the order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally" stands for "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction".




Remember the order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally" stands for "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction".
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Simplify:

Simplify:
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Follow the order of operations.
First take care of any exponents:

= 6 - (2 + 25)
Then perform the operations in parentheses:
= 6 - 27
= -21
Follow the order of operations.
First take care of any exponents:
= 6 - (2 + 25)
Then perform the operations in parentheses:
= 6 - 27
= -21
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Simplify the expression below.

Simplify the expression below.
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First, distribute the negative sign into the parentheses.

Next, combine like terms.

Note that all operations in this problem are addition and subtraction; there is no need to FOIL or multiply.
First, distribute the negative sign into the parentheses.
Next, combine like terms.
Note that all operations in this problem are addition and subtraction; there is no need to FOIL or multiply.
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Simplify the expression.

Simplify the expression.
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The order of operations is parenthesis, exponents, multiplication, division, addition, subtraction (PEMDAS).

First, we will evaluate the parentheses. Within the parentheses, we need to solve the exponent, then multiply,


Now that the parenthesis is evaluated, we need to multiply.

Finally, we add and subtract. We can arrange the terms in any order.


The order of operations is parenthesis, exponents, multiplication, division, addition, subtraction (PEMDAS).
First, we will evaluate the parentheses. Within the parentheses, we need to solve the exponent, then multiply,
Now that the parenthesis is evaluated, we need to multiply.
Finally, we add and subtract. We can arrange the terms in any order.
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Simplify:
![5+[2+3(3-2^2)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168819/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![5+[2+3(3-2^2)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168820/gif.latex)
![=5+[2+3(3-4)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169983/gif.latex)
![=5+[2+3(-1)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169984/gif.latex)
![=5+[2+(-3)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169985/gif.latex)
![=5+[-1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169986/gif.latex)

Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![6^2-[4+3(-6-1)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168846/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![6^2-[4+3(-6-1)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168847/gif.latex)
![=6^2-[4+3(-7)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169988/gif.latex)
![=6^2-[4+(-21)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169989/gif.latex)
![=6^2-[-17]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169990/gif.latex)


Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![(3*2+1)-2[3-(4-2)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168858/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![(3*2+1)-2[3-(4-2)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168859/gif.latex)
![=(6+1)-2[3-(2)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169993/gif.latex)
![=(7)-2[1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169994/gif.latex)


Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![2^2[2+(3-4)]+[5(2+1-7)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168870/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![2^2[2+(3-4)]+[5(2+1-7)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169997/gif.latex)
![=2^2[2+(-1)]+[5(-4)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169998/gif.latex)
![=2^2[1]+[-20]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/169999/gif.latex)
![=4[1]+[-20]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170000/gif.latex)


Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![2^3-[4(2+1-2+4-3)]+4(1+2-5)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168853/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![2^3-[4(2+1-2+4-3)]+4(1+2-5)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168854/gif.latex)
![=2^3-[4(2)]+4(-2)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170003/gif.latex)
![=8-[8]+(-8)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170004/gif.latex)

Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:

Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:





Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![3^2(2^2-4+3)-[5(3+1-2+6-5)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168899/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![3^2(2^2-4+3)-[5(3+1-2+6-5)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168900/gif.latex)
![=3^2(4-4+3)-[5(3)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170010/gif.latex)
![=3^2(3)-[15]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170011/gif.latex)



Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![3^3[2-(-4)]+2^4-6+3^{(4-2)}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168911/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![3^3[2-(-4)]+2^4-6+3^{(4-2)}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168912/gif.latex)
![=3^3[6]+2^4-6+3^{(2)}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170015/gif.latex)
![=27[6]+16-6+9](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170016/gif.latex)


Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![2^4-2[4-(-5)]+7(2+1-4)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168906/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![2^4-2[4-(-5)]+7(2+1-4)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168907/gif.latex)
![=2^4-2[9]+7(-1)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170019/gif.latex)
![=16-[18]+(-7)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170020/gif.latex)

Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![2^3(2-3)+3^{[2(1+3-2-1)]}-3[2-(-2)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168893/gif.latex)
Simplify:
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Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
![2^3(2-3)+3^{[2(1+3-2-1)]}-3[2-(-2)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/168894/gif.latex)
![=2^3(-1)+3^{[2(1)]}-3[4]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/170022/gif.latex)



Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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Simplify:
![2[2+3^2-(-5)]-(-2)[2+1-(-5)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173464/gif.latex)
Simplify:
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In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.
![2[2+3^2-(-5)]-(-2)[2+1-(-5)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173465/gif.latex)
![=2[2+9-(-5)]-(-2)[2+1-(-5)]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173466/gif.latex)
Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.
![=2[2+9+5]-(-2)[2+1+5]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173467/gif.latex)
![=2[16]-(-2)[8]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173468/gif.latex)



In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.
Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.
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Simplify:
![(-1)[2+1+(-1)+2-(-3)+4]*(-1)[(-2)+1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173452/gif.latex)
Simplify:
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In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.
![(-1)[2+1+(-1)+2-(-3)+4]*(-1)[(-2)+1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173453/gif.latex)
Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.
![=(-1)[2+1-1+2+3+4]*(-1)[1-2]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173454/gif.latex)
![=(-1)[11]*(-1)[-1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173455/gif.latex)


In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.
Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.
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Simplify:
![\frac{(-2)[2+(-3)-(-4)]}{(-1)(-1)(2)}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173458/gif.latex)
Simplify:
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In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.
![\frac{(-2)[2+(-3)-(-4)]}{(-1)(-1)(2)}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173459/gif.latex)
Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.
![=\frac{(-2)[2-3+4]}{(-1)(-1)(2)}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173460/gif.latex)
![=\frac{(-2)[3]}{(1)(2)}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/173461/gif.latex)


In order to solve this problem, one must follow the mathematical order of operations. The correct order of mathematical operations consists of the following pattern: parenthesis, exponents, multiplication and division, and finally, addition and subtraction. One should work beginning with the innermost nested parentheses and complete the correct operations from left to right.
Remember, subtracting a negative is the same as adding a positive number, and adding a negative is like subtracting a positive.
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Simplify:

Simplify:
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By order of operations you are supposed to simplify what is in parentheses first giving you

then you must simplify the exponent to give you

then you must simplify the division portion of the equation to get

then simplify this.
By order of operations you are supposed to simplify what is in parentheses first giving you
then you must simplify the exponent to give you
then you must simplify the division portion of the equation to get
then simplify this.
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Solve using order of operations.

Solve using order of operations.
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PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Parentheses:



The expression now looks like this:

Square 10:

Multiply the last two terms:

Finally divide to finish:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Parentheses:
The expression now looks like this:
Square 10:
Multiply the last two terms:
Finally divide to finish:
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What is the solution to the following problem?

What is the solution to the following problem?
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This problem requires proper order of operations. Remember the acronym for the order of operations: PEMDAS. This acronym will help you to remember the proper order for solving problems:
- Parentheses
- Exponents
- Multiplication and Division (whichever comes first as you read the problem from left to right)
- Addition and Subtraction (whichever comes first as you read the problem from left to right)
Step 1: Parentheses


Step 2: Exponents

Step 3: Multiplication

Step 4: Addition

This problem requires proper order of operations. Remember the acronym for the order of operations: PEMDAS. This acronym will help you to remember the proper order for solving problems:
- Parentheses
- Exponents
- Multiplication and Division (whichever comes first as you read the problem from left to right)
- Addition and Subtraction (whichever comes first as you read the problem from left to right)
Step 1: Parentheses
Step 2: Exponents
Step 3: Multiplication
Step 4: Addition
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