MNU 3-04a 25-Oct-15Created by Mr. Lafferty Maths Dept Integers Integers in Context Add /Sub using...

MNU 3-04a

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

IntegersIntegers

Integers in Context

Add /Sub using Thermometer

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Add / Sub Mathematically

Multiplication & Division

Double Negative

MNU 3-04a


Starter QuestionsStarter Questionsw

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Q2. How many euros do I get for £20 if exchange rate is £1 1.5 €

Q3. What is the time difference 09:28 and 10:50

Q4. The answer to the question is 90. What is thequestion.

MNU 3-04a

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

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1.1. Understand how integers Understand how integers are used in real-life.are used in real-life.

1 We are learning how to use integers in context.

IntegersIntegers

MNU 3-04a


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IntegersIntegers

Definition : An INTEGER is a negative or positive whole number, including 0.

e.g. -2, -1, 0, 5, 100

Note : -2.5, -1.2, 23.5 Are NOT INTEGERS

Write down 3 places where Integers are used

Weather

BankSea-Level

Height

MNU 3-04a

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths DepartmentCreated by Mr. Lafferty Maths Department

Now try TJ3aEx 1 Q1 – Q4

Class DiscussionCh4 (page 32)

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IntegersIntegers

MNU 3-04a


NegativeNumbers

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2

8

2422

20

14

1816

1210

64

0-2

-8

-24

-22-20

-14

-18-16

-12-10

-6-4

(a) 4oC up from 12

o C

(b) 8oC down from 10

o C

(c) 3oC up from -2

o C

(d) 6oC down from 2

o C

Down -

UP +12 + 4 = 16

10 - 8 = 2

-2 + 3 = 1

2 - 6 = -4

MNU 3-04a


Now try TJ3aEx 1 Q5

Class DiscussionCh4 (page 32)

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IntegersIntegers

MNU 3-04a



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Q2. How many euros do I get for £10 if exchange rate is £1 1.4 €

Q3. What is the time difference 09:45 and 20:30

Q4. The answer to the question is 30. What is thequestion.

MNU 3-04a


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1.1. To be able to write down To be able to write down mathematically the addition mathematically the addition and subtraction of integers.and subtraction of integers.

1 We are learning how to write down mathematically addition and subtraction of integers.

IntegersIntegersAddition & Subtraction

MNU 3-04a


NegativeNumbers

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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

RuleAdding a negative is

the same as subtracting

“+ -” = -

MNU 3-04a


= -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

= -17

IntegersIntegers

Remember Rule !

MNU 3-04a


Now try TJ3a

Ex 2 Ch4 (page 35)

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IntegersIntegers

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


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2. Calculate 70% of 84

(a) 6.67 (b) 5.54 (c) 7.99

1. 99.6 + 7.27

3. Round to 1 decimal place

4. Find the value of x 5x +25 = 105

MNU 3-04a

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’ rule ‘double negative’ rule for integers.for integers.

1. We are learning the ‘double negative’ rule for integers.

IntegersIntegers

2.2. To be able to solve To be able to solve problems using the problems using the

‘double ‘double negative’ negative’ rule.rule.

Addition & Subtraction

MNU 3-04a


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IntegersIntegers

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

-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 =

Double Negative RuleSubtracting a negative

is the same as adding

“- -” = +

MNU 3-04a


Now try TJ3a

Ex 3 Ch4 (page 36)

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IntegersIntegers

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


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Calculate 2.5

2. Put in order, smallest first.

0.25, 0.19, 0.01, 0.026

3. Find the value of x 7x + 6 = 20

% of 400

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

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1. We are learning the rules for multiplying and dividing integers.

1. Understand the rules for multiplying and dividing integers.

IntegersIntegers

2. Apply rules to problems.


MNU 3-04a


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IntegersIntegers

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

(-5) (-5) x x (-8) = 40(-8) = 40

(-3) (-3) xx (-3) = 9 (-3) = 9

(-4) x (-5) = 20(-4) x (-5) = 20

(-2) (-2) ÷÷ (-1) = 2 (-1) = 2

(- 20) (- 20) ÷÷(-(-5) = 45) = 4

(-9) (-9) ÷ ÷ (-3) = 3(-3) = 3

(-40) (-40) ÷ ÷ (-8) = 5(-8) = 5


Rule

Same Signs = POSITIVE answer

MNU 3-04a Multiplication & Division


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IntegersIntegers

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

5 5 x x (-8) = -40(-8) = -40

(-3) (-3) xx 3 = -9 3 = -9

(-4) (-4) xx 5 = -20 5 = -20

(-2) (-2) ÷÷ 1 = -2 1 = -2

(- 20) (- 20) ÷÷ 5 = -4 5 = -4

15 15 ÷÷ (-5) = -3(-5) = -3

40 40 ÷÷ (-8) = -5 (-8) = -5

Rule

Different Signs = NEGATIVE answer

MNU 3-04a


= -21

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(1) (-3) x 7

(2) 54 ÷ (-9)

(3) (-4) x (-8)

(4) (-12) ÷ (-2)

(5) -5 x (25 – 30)

(6) ((-8) x 6) ÷ 3

Examples

= -6

= 32

= 6

= 25

= -16

IntegersIntegers

MNU 3-04a


Now try TJ3a

Ex 4 Ch4 (page 37)

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IntegersIntegers

MNU 3-04a


Now try TJ3aMIXED Q’s

Ex 5 Ch4 (page 39)

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IntegersIntegers

MNU 3-04a 25-Oct-15Created by Mr. Lafferty Maths Dept Integers Integers in Context Add /Sub using...

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