4 Solve problems of addition and subtraction of fractions and mixed numbers CONDITIONS: Given this subcourse, you will be able to do basic mathematics I (addition, subtraction, multiplication, and division) STANDARD: You must answer 70 percent of the written exam questions correctly to receive credit for this subcourse
M stands for Multiplication A stands for Addition S stands for Subtraction When solving problems involving the order of operations, remember the following: 1 The parenthesis ( ) tell which operation to do the first After working inside the parenthesis, you must do multiplication and division before addition and subtraction 2
Subtraction: Change the subtraction sign to addition, and flip the sign of the second number Then add the numbers (This is the definition of subtraction or two-stroke rule ) 7?4 becomes 7+(?4)=3 ?7?(?4) becomes ?7+4=?3 ?7?4 becomes ?7+(?4)=?11
multiplication comes before addition and subtraction Multiply 3 • 8 7 – 5 + 24 Now, add and subtract from left to right 7 – 5 comes first 2 + 24 = 26 Finally, add 2 + 24 Answer 7 – 5 + 3 • 8 = 26 When you are applying the order of operations to expressions that contain fractions,
184036_6Order_of_Operations.pdf For more information about this and other math topics, come to the Math Lab 722-6300 x 6232.
Caproiu & Hall, 2000
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D stands for Division.
Order of Operations
Remember to use the Order of Operations when you do calculations. Think PEMDAS-or "Please excuse my dear Aunt Sally" - to use the Order of Operations:P stands for Parenthesis. Do operations in parenthesis first. E stands for Exponents. Do all of these after any parenthesis.
M stands for Multiplication.
A stands for Addition.
S stands for Subtraction. When solving problems involving the order of operations, remember
the following:
1. The parenthesis ( ) tell which operation to do the first. After working
inside the parenthesis, you must do multiplication and division before addition and subtraction.
2. The braces { } show the next numbers to work with. Inside the braces,
multiply and divide before you add and subtract.
3. The brackets [ ] show the third group of numbers to work with. Again,
multiply and divide, then add and subtract. After working in the parethesis, braces, and brackets, do the remaining multiplication and division before addition and subtraction, from left to right.
There are two exceptions:
If the expression starts with division and then multiplication, and there is no addition or subtraction sign between the multiplication and division, perform division first and multiplication second. If the expression starts with subtraction and then addition, and there is no multiplication or division sign between the addition and subtraction, perform subtraction first and addition second.27 3 2÷×9218=×=
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