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Do Now. 9 3 2.) 11 2 3 .) 12,454 0 4.) 23.1 + 14.07. 729. 121. 1. 27.17. 12/ 9 /2013 5-1 A Numerical Expressions. Numerical Expression- a mathematical phrase that includes only numbers and operation symbols Examples:
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Do Now • 93 2.) 112 3.) 12,4540 4.) 23.1 + 14.07 729 121 1 27.17
Numerical Expression- a mathematical phrase that includes only numbers and operation symbols Examples: 4 + 8 ÷ 2 × 6 371 – 203 + 2 5,006 × 19
Simplify- to find the value of a numerical expression • Synonyms: Solve Evaluate
Order of Operations- a rule for evaluating numerical expressions • Perform operations in parentheses • Find the values of numbers withexponents • Multiply orDivide from left to right as ordered in the problem • Add orsubtract from left to right as ordered in the problem
A little trick… Please Parentheses ExcuseExponents My/Dear Multiply/Divide Aunt/Sally Add/Subtract PEM/DA/S
Ex. 1 Simplify the expression 9 + 12 × 2 9 + 12 × 2There are no parentheses or exponents 9 + 24Multiply 33 Add
Ex. 2 33 + 8 – 16 33 + 8 - 16There are no parenthesis 27 + 8 - 16Find the values of numbers with exponents 35 - 16 Add 19 Subtract
Ex. 3 Find the value of 90 ÷ 3 + (3 – 2) – 20. 90 ÷ 3 + (3 – 2) – 20 90 ÷ 3 + 1 – 20 30 + 1 – 20 31 – 20 11
Ex. 4 7– 3[10 –2(6 – 3)] ÷ 2 7 – 3 [10 -2 (3)] ÷ 2 7 – 3 [10 – 6] ÷ 2 7 – 3 [4] ÷ 2 7 – 12 ÷ 2 7 – 6 1
Ex. 5 George, Jill, and Avery need to buy sporting equipment. Each person buys a ball, a pair of shin guards, and a pair of cleats. Write an expression for the total cost of the equipment they buy. Then find the total cost.
3 × $15 + 3 × $18 + 3 × $25 $45 + 3 × $18 + 3 × $25 $45 + $54 + 3 × $25 $45 + $54 + $75 = $174
Create an expression using multiple operations. Solve the problem on the back. Then switch with your neighbor.
[(3 + 2) × (6 - 4) + 2] × 4 3.) 16 – 3(8 – 3)2 ÷ 5 • 9 + (21 ÷ 7) × 5 4.) 24 + 6 × 4 • Mr. Kellett bought 6Itunes albums for $4 each and 5 albums for $3 each. Write an expression to find the amount Mr. Kellett spent on the albums.
Homework! • Pg. 272 #1-28 Evens • SHOW ALL OF YOUR WORK • Remember PEM/DA/S • Quiz on Wednesday (12/11)