Properties of Numbers (day 2) Real world Problem Solving 1. Suppose you buy a shirt for $14.85, a pair of pants for $21.95 and a pair of shoes for $25.15. Find the total amount you spent. 14.85 + 21.95 + 25.15 Problem 14.85 + 25.15 + 21.95 Order: Commutative Property (14.85 + 25.15) + 21.95 Group: Associative Property 40+ 21.95 Addition $61.95 Answer
D. Real world Problem Solving 2. At the supermarket, you buy a package of cheese for $2.50, a loaf of bread for $2.15, a cucumber for $.65, and some tomatoes for $3.50. Find the total cost of the groceries. 2.50 + 2.15 + .65 + 3.50 Problem 2.50 + 3.50 + 2.15 + .65 Order: Commutative Property (2.50 + 3.50) + (2.15 + .65) Group: Associative Property 6.00 + 2.80 Addition $8.80 Answer
E. Justify Steps Simplify each of the following expressions. Justify each step. 5a + 6 + a = a. _______________ __________________ b. _______________ __________________ c. _______________ __________________ d. _______________ __________________ 5a + 6 + 1a Identity Prop of Mult. 5a + 1a + 6 Com. Prop. of Add. (5 + 1)a + 6 Distributive Prop 6a + 6 Addition
E. Justify Steps Simplify each of the following expressions. Justify each step. 4(x – 8) – 6x = a. _______________ _______________ b. _______________ _______________ c. _______________ _______________ d. _______________ _______________ e. _______________ _______________ f. _______________ _______________ 4x – 32 – 6x Distributive Property 4x + (–32) + (-6x) Definition of Sub. 4x + (–6x) + (-32) Com. Prop of add. (4 + –6)x + (-32) Distributive Property –2x + (-32) Addition –2x - 32 Definition of Sub.
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