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Integers www.mathsrevision.com Level 3 Add/Sub and Double Negatives Multiply +ve / -ve Integers Divide by +ve or -ve Integers 12-May-17 Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com Level 3 1. Calculate 30% of 80 2. 15% of 700p 3. Find the value of x 4x +2 = 122 12-May-17 Created by Mr. Lafferty Maths Dept. Integers Addition & Subtraction www.mathsrevision.com Level 3 Learning Intention 1. To explain the ‘double negative’ for integers. Success Criteria 1. To understand the ‘double negative’ for integers. 2. To simplify and solve problems using the ‘double negative’ property. 12-May-17 Created by Mr. Lafferty Maths Dept. Integers Revision www.mathsrevision.com Level 3 (a) 12 + 4 = 16 Go up 4 Start at 12 (b) 10 +(-8) = 2 Start at 10 (c) Go down 8 7 - 10 = -3 Start 12-May-17 at 7 24 20 16 12 8 4 0 -4 -8 -12 -16 -20 -24 Go down 10 Created by Mr. Lafferty Maths Dept 22 18 14 10 6 2 UP + -2 -6 -10 -14 -18 -22 Down - Integers Level 3 www.mathsrevision.com Examples (1) 3-7 = -4 Remember (2) 4 + (-9) = -5 (3) -7 - 8 = -15 “+ -” = - (4) -2 + (-12) = -14 (5) -5 - 25 = -30 (6) 8 + (-9) 12-May-17 = -1 Created by Mr. Lafferty Maths Dept With your partner you have 30 second to the rule Addition & Subtraction Integers www.mathsrevision.com Level 3 Double Negative Rule 1 - (- 2) = 1+2=3 - 4 – (- 5) = - 4 + 5 = 1 “- -” = + -3 - (- 5) = - 3 + 5 = 2 -1 - (- 10) = -1 + 10 = 9 12-May-17 Created by Mr. Lafferty Maths Dept. Practice Integers Addition & Subtraction www.mathsrevision.com Level 3 Now try Ex 3/4 First Column Only Ch2 (page 14) 12-May-17 Created by Mr. Lafferty Maths Dept. Starter Questions Level 3 www.mathsrevision.com 1. 2.5% of 100p 2. Round to 2 decimal place (a) 18.6745 (b) 36.994 3. Find the value of x 3x + 9 27 12-May-17 Created by Mr. Lafferty Maths Dept. Integers www.mathsrevision.com Multiplication & Division Learning Intention 1. Explain how to multiply positive and negative integers. 12-May-17 Success Criteria 1. Understand how to multiply positive and negative integers. Created by Mr. Lafferty Maths Dept. With your partner can try and come up (+ve) x (+ve) = (+ve) with the rules for (-ve) x (–ve) = (+ve) Multiplication & Division multiplying integers (-ve) x (+ve) = (-ve) Multiplying Integers (+ve) x (–ve) = (-ve) www.mathsrevision.com Integers 1 x (-2) = -2 (-2) x (-1) = 2 (-4) x 5 = -20 (- 2) x (-5) = 10 (-3) x 3 = -9 (-5) x (-5) = 25 Same signs positive answer 5 x (-8) = -40 (-4) x (-8) = =32 12-May-17 Different signs = negative answer Created by Mr. Lafferty Maths Dept. Remember BODMAS www.mathsrevision.com S33 Same signs = positive answer Integers MultiplicationDifferent signs = negative answer Multiplying Integers 1 + (-2) x (-10) = 21 3 + (-5)2 = 28 8 – (-3)2 = -1 5 x (-2)2 + 5 – 19 = 6 12-May-17 Created by Mr. Lafferty Maths Dept. Integers Addition & Subtraction www.mathsrevision.com Level 3 Now try Exercise 5 Ch2 (page 17) Q1 – Q6 12-May-17 Created by Mr. Lafferty Maths Dept. Starter Questions Level 3 www.mathsrevision.com 1. Simplfy the ratio 2. Calculate 13 : 52 2.5% of 400 3. I got $650 for £100. How much would I get for £2. 4. Put in order, smallest first. 0.25, 0.19, 0.01, 0.026 5. 12-May-17 Find the value of x 7x +2.5 = 20 Created by Mr. Lafferty Maths Dept. Integers Multiplication & Division www.mathsrevision.com Level 3 Learning Intention 1. To explain the double negative for multiplying and division. Success Criteria 1. Understand the ‘double negative’ for multiplying and dividing negative numbers. 2. Use double negative to solve problems. 12-May-17 Created by Mr. Lafferty Maths Dept. With your partner can try and come up with the rules for Multiplication multiplying integers (+ve) ÷ (+ve) = (+ve) (-ve) ÷ (–ve) = (+ve) & Division (-ve) ÷ (+ve) = (-ve) (+ve) ÷ (–ve) = (-ve) Integers www.mathsrevision.com Level 3 (-2) ÷ 1 = -2 20 ÷ (-5) =-4 (-9) ÷ 3 = -3 (-25) ÷ 5 = -5 12-May-17 (-2) ÷ (-1) = 2 (- 20) ÷ (-5) = 4 (-9) ÷ (-3) = 3Same signs = positive answer (-40) ÷ (-8) = 5 Different signs = negative answer Created by Mr. Lafferty Maths Dept. Remember BODMAS www.mathsrevision.com Level 3 IntegersSame signs Division = positive answer Division Integers Different signs = negative answer 1 + (-20) ÷ (-10) = 3 100 ÷ (-5)2 = 4 100 - 36 ÷ (-3)2 = 96 -48 ÷ (6 - 2)2 + 5 = 2 12-May-17 Created by Mr. Lafferty Maths Dept. Integers Multiplication & Division www.mathsrevision.com Level 3 Now try Exercise 5 Ch2 (page 18) Q7 – Q10 12-May-17 Created by Mr. Lafferty Maths Dept.