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Order of operations

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Order of operations

1. 1. Order of Operations 1-2
2. 2. Warm-Ups <ul><li>Write an algebraic expression for each verbal expression. </li></ul><ul><li>1.  the product of the third power of a and the fourth          power of b </li></ul><ul><li>2.  six less than three times the square of y </li></ul><ul><li>3.  the sum of a and b increased by the quotient of b and a </li></ul><ul><li>4.  four times the sum of r and s increased by twice the difference of r and s </li></ul><ul><li>5.  triple the difference of 55 and the cube of w  </li></ul>
3. 3. Vocabulary: <ul><li>order of operations </li></ul>
4. 4. Numerical expressions often contain more than one operation.  A rule is needed to let you know which operation to perform first.  This rule is called the order of operations .   Order of Operations Step 1:  Evaluate expressions inside grouping symbols Step 2:  Evaluate all powers Step 3: Do all multiplications and/or divisions from left to right. Step 4:  Do all additions and/or subtractions from left to right.
5. 5. PEMDAS <ul><li>P lease  </li></ul><ul><li>E xcuse </li></ul><ul><li>M y </li></ul><ul><li>D ear </li></ul><ul><li>A unt </li></ul><ul><li>S ally </li></ul>
6. 6. Evaluate Expressions: <ul><li>a.  6 +4 -2 *3 </li></ul><ul><li>            </li></ul><ul><li>             </li></ul><ul><li>b.  48/2^3*3+5 </li></ul><ul><li>  </li></ul><ul><li>            </li></ul>
7. 7. Grouping Symbols: <ul><li>a.  (8-3) * 3(3+2) </li></ul><ul><li>            </li></ul><ul><li>b.  4 [12/ (6-2)]^2 </li></ul><ul><li>            </li></ul>
8. 8. Fraction Bar: <ul><li>a.  2^5 - 6*2 </li></ul><ul><li>   3^3 - 5*3 - 2 </li></ul><ul><li>            </li></ul>
9. 9. Evaluate an algebraic expression: <ul><li>a.  Evaluate:  </li></ul><ul><li>    2(x^2 - y) + z^2    if x=4, y=3, and z=2. </li></ul><ul><li>            </li></ul>
10. 10. Architecture Ex. <ul><li>Each of the four sides of the Great Pyramid at Giza, Egypt, is a triangle.  The base of each triangle originally measured 230 meters.  The height of each triangle originally measured 187 meters.  The area of any triangle is one-half the product of the length of the base b and the height h .  </li></ul><ul><li>  </li></ul><ul><li>b.  Write an expression that represents the area of one side of the Great Pyramid. </li></ul><ul><li>c.  Find the area of one side of the Great Pyramid. </li></ul>
11. 11. Glencoe/McGraw-Hill 2003