Substitute in values and estimate …. Estimate 49ab + 531c for a = 259, b = 37, and c = 192 49  259  37 + 531  192 S2: Round numbers 50  300  40 +

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Substitute in values and estimate …

Estimate 49ab + 531c for a = 259, b = 37, and c =  259   192 S2: Round numbers 50  300   200 S3: Perform Operations = 15,000  ,000 = 600, ,000 = 700,  a  b  c S1: Substitute numbers

Operations with Positive and Negative Numbers …

=- 13

+ + “Neutral Pairs”

=1

– 8 10 = Change (sign) - Keep Change (operation) Use “keep-change- change” ~ only to change subtraction to addition.

- 9 ( 4) + 2 = – - + Keep Change (operation) Change (sign) “Hey, have you ever heard of a double negative in English class?”

A football team made the following yardage on five plays: lost 4, gained 16, gained 9, lost 8, and lost 4. What was the net yardage on the 5 plays? – 8 – 4= If you like “keep change change” = = = = + 9 Click here for visual tiles

– 8 – 4 = Back to Slide Show = 9

124(3) = means “4 groups of 3” Group 1Group 2Group 3Group 4

5(-4) = Group 1Group 2Group 3 Group 4Group means “5 groups of -4”

Why is a negative # times a negative # equal to a positive #? 3(-4) = -12 2(-4) = - 8 1(-4) = - 4 0(-4) = 0 -1(-4) = 4 3(4) = 12 2(4) = 8 1(4) = 4 0(4) = 0 -1(4) = -4 -2(4) = -8-2(-4) = 8 ? ?

Evaluate 5 – 2xy + 3x if x = -4 and y = -5

Word Problems With Percentages …

A sporting goods store advertises a $35 football at a 33% discount. What will be the sale price? ANSWER: $23.45

A TV regularly sells for $255. It is advertised at a 20% discount. Find the total cost of the TV including a 7% sales tax. ANSWER: $218.28

John is paid a weekly salary of $350 plus a commission of 12% of all is sales for the week. He sells $1,562 worth of TV’s this week. He works 5 days a week. What are his average daily earnings for the week?

Weekly salary + 12% commission = (1,562) Written as decimal 12% “of” weekly sales = = $ Ooops! This isn’t the final answer! This represents his whole week. Average daily earnings = /5 = $107.49

Gina chose a shade of green paint called Spring Green. The directions to make any quantity of this shade calls for 3 parts blue paint to 5 parts yellow paint. If Gina makes 16 ounces of Spring Green paint, how many ounces of blue paint will she use? Blank Slide ANSWER: 6 ounces