Section 1.2 The Order of Operations Algebra Concepts Section 1.2 The Order of Operations
Warmup #1 Find the product of 4 and 5. #2 Find the quotient of 18 and 2. #3 Find the sum of 10 and 24. #4 Find the difference of 20 and 13.
With subtraction, order matters. 5−2 𝑎𝑛𝑑 2−5 are different. If there are several operation symbols in an expression, there is a specific order to follow.
1st Work inside parentheses 2nd Exponents 3rd Multiply and Divide from left to right 4th Add and Subtract from left to right
Simplify 6 2+5 −10 Write the expression. Do ONE step on each line. Write the letter(s) of the operation P,E,MD,AS Work each line DOWN the paper.
6 2+5 −10 6 7 −10 P 42−10 MD 32 AS
Try these #1 6+12÷3−2 (3 steps) #2 11+2 15÷3 −1 (4 steps)
#1 6+12÷3−2 6+4−2 MD 10−2 AS 8 AS
#2 11+2 15÷3 −1 11+2 5 −1 P 11+10−1 MD 21−1 AS 20 AS
#3 14−6∙2+18÷3 14−12+18÷3 MD 14−12+6 MD 2+6 AS 8 AS
If there is a fraction in a problem, put parentheses around the numerator or denominator if there is an operation symbol. The line of the fraction always means to divide 7+8 3 = 15 3 =5
Compare the two expressions using >, < or =. 8+3 10÷2 +3∎45−7(1+3) Simplify each expression using order of operations!
8+3 10÷2 +3∎45−7(1+3) 8+3 5 +3 45−7 4 8+15+3 45−28 23+3 17 26 26 > 17
Inserting parentheses can change the answer. Insert parentheses to make this number sentence true. 16−6÷2=5
Write a numerical expression and simplify #1 Six plus the product of ten and four #2 Eight minus the quotient of twenty and four.
#1 6+(10∙4) 6+40 46 #2 8− 20÷4 8−5 3
Write an expression to find the area