MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Whole Numbers Mental Basic Operations Multiplying / Dividing by 20, 50, 3000

MNU 3-03aMNU 3-03b

18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Whole NumbersWhole Numbers

Mental Basic Operations

Multiplying / Dividing by 20, 50 , 3000

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BODMAS

Basic Operations

MNU 3-03aMNU 3-03b


Starter QuestionsStarter Questionsw

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2. Calculate 10% of 1000

3. What is the name of the shape will this net make.

4. Calculate the value of the missing angle.

34o

MNU 3-03aMNU 3-03b

18 Apr 202318 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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1.1. Using and understanding Using and understanding layout for basic operations.layout for basic operations.

1. We are learning the importance of layout when doing basic operations.


2.2. Be able to solve context Be able to solve context problems involving basic problems involving basic operations.operations.

Basic Operations

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There are many reasons why pupils do not get the correct answer to addition and subtraction sums.

23+9

239 23 + 9

54-8

8-54

54 - 8

Basic Operations

Are there any errors in

these sums.

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Find the answers to

Basic Operations

4 5 5 3

Remember ! 1 number 1 box

4 4 3 8

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There are many reasons why pupils do not get the correct answer to division sums.

586 ÷ 94 3

1 5 4 9 5 8 6 586 9

Basic Operations


these sums.

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Use the following layout for dividing by a single digit.

Example :

Basic Operations

7 2 4


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Example : A carton can hold 6 eggs. How many cartons are needed for 5436 eggs.

Basic Operations

9 0 6

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There are many reasons why pupils do not get the correct answer to multiplication sums.

23x 9

239

23 x 9

Basic Operations


these sums.

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To be able to multiply by a single digit you need to know your tables.

Examples

Basic Operations

1 4 9 2 2 6 2 0 8


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Example : A palette holds 164 tins of paint. How many tins in 8 palettes.

Basic Operations

1 3 1 2


MNU 3-03aMNU 3-03b


Now try TJ3a

Ex 1Ch2 (page 13)

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Basic Basic OperationsOperations

Are you on Target ?I can ?

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4. Calculate the value of the missing angle. 36o

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1 We are learning quick methods to do calculations mentally.

1. Use various methods to do calculations mentally.

CalculationsCalculationsMentallyMentally

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= 26


75 – 50 + 1

54 + 67

= 121

(50 + 60) + (4 + 7)

= 110 + 11

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= 576


9 x 60 + 9 x 4

= 540 + 36

7 x £4.99

= £34.93

7 x £5 – 7 x 1p

= £35 – 7p

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= 21


(140 ÷ 7) + (7 ÷ 7)

= 20 + 1

126 ÷ 9

= 14

(99 ÷ 9) + (27 ÷ 9)

= 11 + 3

MNU 3-03aMNU 3-03b


Now try TJ3a

Ex 2Ch2 (page 16)

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MNU 3-03aMNU 3-03b


Starter Starter QuestionsQuestions

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Make up your own Addition / Subtraction

Question

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1 We are learning how to multiply / divide by 20, 300, 4000 etc using our knowledge so far.

1. Understand the two step process to multiply or divide by 20, 300 etc…


2. Show all working.

Multiply or Divide by 20,300,4000

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Whole NumbersWhole NumbersMultiply by 10, 100, 1000

To multiply by 10, 100, 1000

To multiply by 10 simply add a zero to the number

Example : Multiply 36 by 10, 100, 1000.

To multiply by 100 simply add 2 zero’s to the number

To multiply by 1000 simply add 3 zero’s to the number

Guess rule for 1000

36 x 10 = 36 x 100 = 36 x 1000 =360 3600 36000

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Whole NumbersWhole NumbersMultiply by 10, 100, 1000

Example : A box of crisps contain 48 packets. How many in 100 boxes ?

48 x 100 =4800

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Whole NumbersWhole NumbersDivide by 10, 100, 1000

To Divide by 10, 100, 1000

To divide by 10 remove a zero from the number

Example : Divide 54000 by 10, 100, 1000.

To divide by 100 remove 2 zero’s from the number

To divide by 1000 remove 3 zero’s from the number

Try and write down rule for

100, 1000

54000 ÷ 10 = 54000 ÷ 100 =

54000 ÷ 1000 =

5400 540

54

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Whole NumbersWhole NumbersDivide by 10, 100, 1000

Example : A box contains 1000 cups. How many boxes are needed to hold

7000 ?7000 ÷ 1000 =7

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Example : Calculate 20 x 52

20 can be written as 2 x 10 so we have :

By combining our knowledge so far of “multiplying / dividing by 10, 100, 1000”

and “multiplying / dividing by a single digit”

we can do harder calculations.We use a TWO step process.


2 x 10 x 52 =

Step 1 : 10 x 52 = Step 2 : 2 x 520 =520 1040

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30 can be written as 10 x 3 so we have :


44 x 10 x 3 =

Step 1 : 44 x 10 = Step 2 : 440 x 3 =440 1320


300 can be written as 3 x 100 so we have :3 x 100 x 35 =

Step 1 : 100 x35 = Step 2 : 3500 x 3 =3500 10500

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Example : Calculate 16000 ÷ 200

Since 200 divide by 100 then divide by 2:


16000 ÷ 100 ÷ 2 =

Step 1 : 16000 ÷ 100 =

Step 2 : 160 ÷ 2 =

160

80

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Example : Calculate 120000 ÷ 6000

Since 6000 divide by 1000 then divide by 6:


120000 ÷ 1000 ÷ 6 =

Step 1 : 120000 ÷ 1000 =

Step 2 : 120 ÷ 6 =

120

20

MNU 3-03aMNU 3-03b


Now try TJ3a

Ex 3Ch2 (page 18)

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Basic Basic OperationsOperations


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4. What is the answer to the sum 8+3 2.

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1 We are learning the order of calculations using BODMAS.

1. Understand the order of calculations.

2. Use BODMAS to evaluate complicated calculations.

BODMASBODMAS

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Calculations MUST BE done in a certain order.

We can use BODMAS to help us remember the order.

B - O -D -M -A -S -

BracketsOtherDivisionMultiplicationAdditionSubtraction

x and ÷same

priority

+ and -same

priority

BODMASBODMAS

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BODMASBODMAS

200 – 25 x 2

= 200 – 50

= 150

9 – half of 10 + 2

= 9 – 5 + 2

= 4 + 2

= 6

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BODMASBODMAS

80 ÷ (8 – 3)

= 80 ÷ 5

= 16

4 x ( 48 + 12) + 10

= 4 x 60 + 10

= 240 + 10

= 250

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BODMASBODMAS

8² – 3²

= 64 - 9

= 55

(8 - 3) ²

= 5²

= 25

MNU 3-03aMNU 3-03b


Now try TJ3a

Ex 4Ch2 (page 20)

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BODMASBODMAS


Mind Map

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MNU 3-03a MNU 3-03b 4-Dec-15Created by Mr. Lafferty Maths Dept. Whole Numbers Mental Basic Operations Multiplying / Dividing by 20, 50, 3000