25-Aug-14Created by Mr. Lafferty Maths Dept. Multiplying & Dividing by 10,100,1000 Multiplying by a...

11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Multiplying & Dividing by 10,100,1000

Multiplying by a Single Digit

Whole NumbersWhole Numbersw

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Rounding to nearest 10,100,1000

Estimating Answers

Dividing by a Single Digit

Multiplying & Dividing by 20, 300 etc..

MNU 2-02a MNU 2-03a

Place Value

Addition and Subtraction

Scales


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 2-02a MNU 2-03a

11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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1.1. Understand the value of a Understand the value of a digit given it place in a digit given it place in a number.number.

1. We are learning the value of a digit given its place in a numbers.

Whole NumbersWhole Numbers

2.2. Be able solve simply Be able solve simply problems involving place problems involving place value.value.

Place ValueMNU 2-02a MNU 2-03a


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Whole NumbersWhole NumbersMNU 2-02a MNU 2-03a

Place Value


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Place Value Sheet

MNU 2-02a MNU 2-03a

Place Value


Now try Exercise XX

Ch1 (page XX)

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Place Value



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680

1. 19 + 32



4. 2

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1.1. Understand the value of a Understand the value of a digit given it place in a digit given it place in a number.number.

1. We are learning the value of a digit given its place in a numbers.


2.2. Be able solve simply Be able solve simply problems involving place problems involving place value.value.

Reading ScalesMNU 2-02a MNU 2-03a

11 Apr 202311 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

Liquid VolumeLiquid Volumew

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S4

Litres

1

2

0

How much liquid in the jug ?

Count the number of small divisions

5

Each division is worth

1 litre ÷ 5 =

1000ml ÷ 5 = 200ml

200ml x 4 = 800ml

1litre = 1000ml

Reading Scales



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S4

Litres

1

2

0

How much liquid in the jug ?


5


1 litre ÷ 5 =

1000ml ÷ 5 = 200ml

200ml x 7 = 1400ml or 1.4 litres

1litre = 1000ml

Reading Scales



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S4

Litres

1

2

0

How much liquid in the jug ?( Careful different scale)


4


1 litre ÷ 4 =

1000ml ÷ 4 = 250ml

250ml x 7 = 1750ml or 1.75 litres

1litre = 1000ml

Reading Scales


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S4

Calculate the weight each arrow is pointing at?


5


100 ÷ 5 =20g

Weight & ScalesWeight & Scales

0100g

200g

300g

400g500g

120g

280g

540g

Reading Scales


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S4

Calculate the weight each arrow is pointing at?


5


200 ÷ 5 =40g


0200g

400g

600g

800g1kg

80g

720g

1kg 20g

Reading Scales


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Reading Weights

MNU 2-02a MNU 2-03a

Reading Scales

Reading different scales

Scale Sheet


Now try Exercise XX

Ch1 (page XX)

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Whole NumbersWhole NumbersReading ScalesMNU 2-02a

MNU 2-03a



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520

1. 37 + 174



4. 4

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1.1. Using and understanding Using and understanding layout for addition and layout for addition and subtraction.subtraction.

1. We are learning the importance of layout when doing addition and subtraction.


2.2. Be able to solve simple Be able to solve simple problems involving addition problems involving addition and subtraction.and subtraction.

MNU 2-02a MNU 2-03a



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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

Are there any errors in

these sums.


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Proper layout


Now try Exercise XX

Ch1 (page xx)

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MNU 2-02a MNU 2-03a

Make up your own addition subtraction


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1.1. Understand the simple rules Understand the simple rules to multiply and divide to multiply and divide simple whole numbers.simple whole numbers.

1 We are learning how to multiply and divide simple whole numbers by 10, 100, 1000.


2.2. Be able do simple Be able do simple calculations.calculations.

Multiply by 10, 100, 1000MNU 2-02a MNU 2-03a


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For this section you need to know your tablesFor this section you need to know your tables

Multiply 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

MNU 2-02a MNU 2-03a


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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

MNU 2-02a MNU 2-03a


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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

MNU 2-02a MNU 2-03a

MNU 2-11b MNU2-11c MTH 3-11b


Units of Length Units of Length Converting Converting

MeasurementsMeasurementsw

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(km)

metres(m)

centimetres(cm)

millimetres(mm)

×10

×100

×1000

1000

100

10



Units of Length Units of Length Converting Converting

MeasurementsMeasurementsw

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Convert 2m to cm : 2 x 100 = 200 cm

Convert 4km to m : 4 x 1000 = 4000 m

Convert 34cm to mm :34 x 10 = 340 mm

Convert 50cm to m : 50 ÷ 100 = 0.5 m


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S4


Kilograms gramsx 1000

2kg 2 x 1000 2000g

1.5kg 1.5 x 1000 1500g

grams Kilograms÷ 1000

3000g 3000 ÷ 1000 3kg

1500g 1500 ÷ 1000 1.5kg



Converting WeightsConverting Weightsw

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Convert 4 kg to g : 4 x 1000 = 4000 g

Convert 9 kg to g : 9 x 1000 = 9000 g

Convert 2000 g to kg :2000 ÷ 1000 = 2 kg

Convert 5000 g to kg :5000 ÷ 1000 = 5 kg


Now try Exercise 3 & 4Ch1 (page 13)

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Whole NumbersWhole NumbersMultiply & Divide by 10, 100, 1000MNU 2-02a

MNU 2-03a



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1.1. Remember your tables.Remember your tables.1 We are learning how to do multiply by a single digit.


2.2. Apply appropriate Apply appropriate layout layout and working for and working for multiplying multiplying by a single by a single digit.digit.

Multiplying by a single numberMNU 2-02a MNU 2-03a


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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


these sums.


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

Multiplying by a single number

Examples

3276

x82620

8264

746

x2 1492

1

MNU 2-02a MNU 2-03a


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

Multiplying by a single number

164x8

131253

MNU 2-02a MNU 2-03a


Now try Exercise 5Ch1 (page 15)

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Whole NumbersWhole NumbersMultiplying by a single numberMNU 2-02a

MNU 2-03a



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1 We are learning how to do divide by a single digit.


1.1. Apply appropriate Apply appropriate layout layout and working for and working for dividing by a dividing by a single digit.single digit.

Dividing by a single numberMNU 2-02a MNU 2-03a


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

586 ÷ 9


these sums.

4 3

1 5 4 9 5 8 6 586 9


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Use the following layout for dividing by a single digit.

Examples : 732 ÷ 8 950 ÷ 5

2 17 3 2

8 58 5 6

Dividing by a single number

2

9 50 5 47 50

MNU 2-02a MNU 2-03a


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

90654366

Dividing by a single numberMNU 2-02a MNU 2-03a


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Example : Copy and complete.

54438087

Dividing by a single number

92655 74346

52168 38084 70083

1853 1239

652 952 2336

MNU 2-02a MNU 2-03a



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Whole NumbersWhole NumbersDividing by a single numberMNU 2-02a

MNU 2-03a



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

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1 We are learning how to 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 20,300,4000MNU 2-02a MNU 2-03a


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Example 1 : 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.

Multiply or Divide by 20,300,4000

2 x 10 x 52 =

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

MNU 2-02a MNU 2-03a


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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

MNU 2-02a MNU 2-03a


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Example 4 : Calculate 16000 ÷ 200

Since 200 divide by 100 then divide by 2:


16000 ÷ 100 ÷ 2 =

Step 1 : 16000 ÷ 100 =

Step 2 : 160 ÷ 2 =

160

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Example 5 : 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

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Whole NumbersWhole NumbersMultiply or Divide by 20,300,4000MNU 2-02a

MNU 2-03a



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4. Calculate the value of the missing angle. 28 o

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1. We are learning to round numbers to the nearest 10, 100 and 1000.

1. Understand the rules for rounding to the nearest 10, 100, 1000.


2. Apply rules to problems.

Rounding to nearest 10, 100 and 1000MNU 2-02a MNU 2-03a


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To round to the nearest 10 : look at the units digit:

Rounding to nearest 10, 100 and 1000

- If it is a 0, 1, 2, 3, 4 leave the 10’s digit as it is.

- If it is a 5, 6, 7, 8, 9 round the 10’s digit up by 1.

To round to the nearest 100 : look at the tens digit:



MNU 2-02a MNU 2-03a


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To round to the nearest 1000 : look at the hundreds digit:

Rounding to nearest 10, 100 and 1000



Example : Round 3467 to the nearest 10, 100, 1000

The nearest 10 : 3467 - look at the units digit : 3470The nearest 100 : 3467 - look at the tens digit : 3500The nearest 1000 :3467- look at the hundreds digit:3000

MNU 2-02a MNU 2-03a


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Whole NumbersWhole NumbersRounding to nearest 10, 100 and 1000

Example : Round 18 565 to the nearest 10, 100, 1000

The nearest 10 : 18 565- look at the units digit :18 570

The nearest 100 : 18 565- look at the tens digit :18 600The nearest 1000 :18565- look at the hundreds digit:19 000

MNU 2-02a MNU 2-03a



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Whole NumbersWhole NumbersRounding to nearest 10, 100 and 1000MNU 2-02a

MNU 2-03a



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1. We are learning how estimate answer by rounding.

1. Remember how to round numbers to a whole number.


2. Estimate the answer to a difficult calculation using easier whole numbers.

Using Rounding to Estimate AnswersMNU 2-02a MNU 2-03a


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It is very important when solving problems that we havea rough idea of the answer we are expecting.

Using Rounding to Estimate Answers

Example : Mentally estimate the answer to 42 x 49

Easiest way, is to round the two numbers first

40 x 50 =400 x 5 =2000

MNU 2-02a MNU 2-03a


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Whole NumbersWhole NumbersUsing Rounding to Estimate Answers

Example : Mentally estimate the answer to 104 x 19


100 x 20 =1000 x 2 =2000

Example : Mentally estimate the answer to 878 ÷ 27


900 ÷ 30 =90 ÷ 3 =30

MNU 2-02a MNU 2-03a


Now try Exercise 10

Ch1 (page 22)

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Whole NumbersWhole NumbersUsing Rounding to Estimate AnswersMNU 2-02a

MNU 2-03a

25-Aug-14Created by Mr. Lafferty Maths Dept. Multiplying & Dividing by 10,100,1000 Multiplying by a...

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