integers

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Add/Sub and Double Negatives

IntegersIntegersw

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Multiply +ve / -ve Integers

Divide by +ve or -ve Integers

Level 3


Starter QuestionsStarter Questionsw

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2. 15% of 700p

3. Find the value of x 4x +2 = 122

Level 3

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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1.1. To understand the To understand the ‘double negative’ for ‘double negative’ for integers.integers.

1. To explain the ‘double negative’ for integers.

IntegersIntegers

2.2. To simplify and solve To simplify and solve problems using theproblems using the‘double negative’ ‘double negative’

property.property.

Addition & SubtractionLevel 3

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths DeptCreated by Mr. Lafferty Maths Dept

IntegersRevision

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Level 3

2

8

2422

20

14

1816

1210

64

0-2

-8

-24

-22-20

-14

-18-16

-12-10

-6-4

(a) 12 + 4 =

(b) 10 +(-8) =

(c) 7 - 10 =

Down -

UP +

2

-3

16

Start at 12

Go up 4

Start at 10

Go down 8

Start at 7

Go down

10

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths DeptCreated by Mr. Lafferty Maths Dept

= -4

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(1) 3 - 7

(2) 4 + (-9)

(3) -7 - 8

(4) -2 + (-12)

(5) -5 - 25

(6) 8 + (-9)

Examples

= -5

= -15

= -14

= -30

= -1

IntegersIntegers

Remember

“+ -” = -

Level 3


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IntegersIntegers

1 1 -- ( (-- 2) = 2) =

Double Negative

-1 -1 -- ( (- - 10) =10) =

-3 -3 -- ( (-- 5) = 5) =

- 4 - 4 –– ( (-- 5) = 5) =

33

11

22

99

1 1 ++ 2 = 2 =

- 4 - 4 ++ 5 = 5 =

- 3 - 3 + + 5 =5 =

-1 -1 ++ 10 = 10 =

Addition & SubtractionLevel 3

Rule

“- -” = +

With your partner you have 30

second to the rule

Practice


Now try Ex 3/4First Column Only

Ch2 (page 14)

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IntegersIntegersAddition & SubtractionLevel 3



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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

Level 3


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1. Explain how to multiply positive and negative integers.

1. Understand how to multiply positive and negative integers.

IntegersIntegersMultiplication & Division

Multiplication & Division


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IntegersIntegers

1 1 xx (-2) = (-2) =

Multiplying Integers

5 5 x x (-8) =(-8) =

(-3) (-3) xx 3 = 3 =

(-4) (-4) xx 5 = 5 =

(-2) (-2) xx (-1) = (-1) =

(- 2) (- 2) xx (-5) = (-5) =

(-5) (-5) x x (-5) =(-5) =

(-4) (-4) xx (-8) = (-8) =

-2-2

-20-20

-9-9

-40-40

22

1010

2525

3232

With your partner can try and come

up with the rules for multiplying integers

(+ve) x (+ve) = (+ve)

(-ve) x (–ve) = (+ve)

(-ve) x (+ve) = (-ve)(+ve) x (–ve) = (-

ve)

Same signs = positive answer

Different signs = negative answer


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IntegersIntegers

1 1 ++ (-2) (-2) xx (-10) = (-10) =

Multiplying Integers

5 5 x x (-2)(-2)22 + 5 – 19 = + 5 – 19 =

8 – (-3)8 – (-3)22 = =

3 + (-5)3 + (-5)22 = =

Multiplication

2121

2828

-1-1

66

Remember BODMAS

S33




Now try Exercise 5Ch2 (page 17)

Q1 – Q6

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IntegersIntegersAddition & SubtractionLevel 3



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1. Simplfy the ratio 13 : 52

Calculate 2.5

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. Find the value

% of 4002.

of x 7x +2.5 = 20

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1. To explain the double negative for multiplying and division.

1. Understand the ‘double negative’ for multiplying and dividing negative numbers.

IntegersIntegers

2. Use double negative to solve problems.

Multiplication & DivisionLevel 3

Multiplication & Division


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IntegersIntegers

(-2) ÷ 1 =(-2) ÷ 1 =

(-25) ÷(-25) ÷ 55 = =

(-9) ÷ 3 =(-9) ÷ 3 =

20 ÷ (-5) =20 ÷ (-5) =

(-2) (-2) ÷÷ (-1) = (-1) =

(- 20) (- 20) ÷ ÷ (-(-5) =5) =

(-9) (-9) ÷ ÷ (-3) =(-3) =

(-40) (-40) ÷ ÷ (-8) =(-8) =

-2-2

-4-4

-3-3

-5-5

22

44

33

55

(+ve) ÷ (+ve) = (+ve)

(-ve) ÷ (–ve) = (+ve)

(-ve) ÷ (+ve) = (-ve)

(+ve) ÷ (–ve) = (-ve)



Level 3

With your partner can try and come

up with the rules for multiplying integers


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IntegersIntegers

1 1 ++ (-20) (-20) ÷÷ (-10) = (-10) =

Division Integers

-48 -48 ÷ ÷ (6 - 2)(6 - 2)22 + 5 = + 5 =

100 - 36 100 - 36 ÷÷ (-3) (-3)22 = =

100 100 ÷÷ (-5) (-5)22 = =

Division

33

44

9696

22

Remember BODMAS Same signs

= positive answer


Level 3


Now try Exercise 5Ch2 (page 18)

Q7 – Q10

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IntegersIntegersMultiplication & DivisionLevel 3

integers

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