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Whole%20Numbers

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Created by Mr. Lafferty Maths Dept. Multiplying & Dividing by 10,100,1000 ... Example : A palette holds 164 tins of paint. How many tins in 8 palettes. ... – PowerPoint PPT presentation

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Title: Whole%20Numbers


1
Whole Numbers
MNU 2-02a MNU 2-03a
Place Value
Scales
Addition and Subtraction
Multiplying Dividing by 10,100,1000
Multiplying by a Single Digit
www.mathsrevision.com
Dividing by a Single Digit

Multiplying Dividing by 20, 300 etc..

Rounding to nearest 10,100,1000
Estimating Answers
2
Starter Questions
MNU 2-02a MNU 2-03a
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3
Whole Numbers
Place Value
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
  1. Understand the value of a digit given it place in
    a number.

1. We are learning the value of a digit given
its place in a numbers.
2. Be able solve simply problems involving place
value.
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4
Whole Numbers
Place Value
MNU 2-02a MNU 2-03a
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5
Whole Numbers
Place Value
MNU 2-02a MNU 2-03a
Place Value Sheet
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6
Whole Numbers
Place Value
MNU 2-02a MNU 2-03a
Now try Exercise XX Ch1 (page XX)
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7
Starter Questions
MNU 2-02a MNU 2-03a
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8
Whole Numbers
Reading Scales
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
  1. Understand the value of a digit given it place in
    a number.

1. We are learning the value of a digit given
its place in a numbers.
2. Be able solve simply problems involving place
value.
www.mathsrevision.com
9
Liquid Volume
S4
Reading Scales
How much liquid in the jug ?
Count the number of small divisions
2
Litres
1litre 1000ml
5
Each division is worth
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1
1 litre 5
1000ml 5
200ml
0
200ml x 4 800ml
10
Liquid Volume
S4
Reading Scales
How much liquid in the jug ?
Count the number of small divisions
2
Litres
1litre 1000ml
5
Each division is worth
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1
1 litre 5
1000ml 5
200ml
0
200ml x 7 1400ml or 1.4 litres
11
Liquid Volume
S4
Reading Scales
How much liquid in the jug ? ( Careful different
scale)
Count the number of small divisions
2
Litres
1litre 1000ml
4
Each division is worth
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1
1 litre 4
1000ml 4
250ml
0
250ml x 7 1750ml or 1.75 litres
12
Weight Scales
S4
Reading Scales
Calculate the weight each arrow is pointing at?
120g
Count the number of small divisions
0
100g
5
200g
Each division is worth
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300g
20g
100 5
280g
400g
500g
540g
13
Weight Scales
S4
Reading Scales
Calculate the weight each arrow is pointing at?
80g
Count the number of small divisions
5
Each division is worth
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40g
200 5
720g
1kg 20g
14
Whole Numbers
Reading Scales
MNU 2-02a MNU 2-03a
Reading Weights
Reading different scales
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Scale Sheet
15
Whole Numbers
Reading Scales
MNU 2-02a MNU 2-03a
Now try Exercise XX Ch1 (page XX)
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16
Starter Questions
MNU 2-02a MNU 2-03a
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17
Whole Numbers
Addition and Subtraction
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
  1. Using and understanding layout for addition and
    subtraction.

1. We are learning the importance of layout when
doing addition and subtraction.
2. Be able to solve simple problems involving
addition and subtraction.
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18
Are there any errors in these sums.
Whole Numbers
Addition and Subtraction
MNU 2-02a MNU 2-03a
There are many reasons why pupils do not get the
correct answer to addition and subtraction sums.
23 9
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54 - 8
19
Whole Numbers
Addition and Subtraction
MNU 2-02a MNU 2-03a
Proper layout
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20
Whole Numbers
Addition and Subtraction
MNU 2-02a MNU 2-03a
Now try Exercise XX Ch1 (page xx)
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21
Starter Questions
MNU 2-02a MNU 2-03a
Make up your own addition subtraction
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22
Whole Numbers
Multiply by 10, 100, 1000
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
  1. Understand the simple rules to multiply and
    divide simple whole numbers.

1 We are learning how to multiply and divide
simple whole numbers by 10, 100, 1000.
2. Be able do simple calculations.
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23
Whole Numbers
Multiply by 10, 100, 1000
MNU 2-02a MNU 2-03a
For this section you need to know your tables
To multiply by 10, 100, 1000
To multiply by 10 simply add a zero to the number
To multiply by 100 simply add 2 zeros to the
number
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To multiply by 1000 simply add 3 zeros to the
number
Example Multiply 36 by 10, 100, 1000.
Guess rule for 1000
36 x 10
36 x 100
36 x 1000
360
3600
36000
24
Whole Numbers
Multiply by 10, 100, 1000
MNU 2-02a MNU 2-03a
Example A box of crisps contain 48 packets.
How many in 100 boxes ?
48 x 100
4800
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25
Whole Numbers
Divide by 10, 100, 1000
MNU 2-02a MNU 2-03a
Try and write down rule for 100, 1000
To Divide by 10, 100, 1000
To divide by 10 remove a zero from the number
To divide by 100 remove 2 zeros from the number
To divide by 1000 remove 3 zeros from the number
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Example Divide 54000 by 10, 100, 1000.
54000 10
54000 100
5400
540
54000 1000
54
26
Whole Numbers
Divide by 10, 100, 1000
MNU 2-02a MNU 2-03a
Example A box contains 1000 cups. How many
boxes are needed to hold 7000 ?
7000 1000
7
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27
Units of Length Converting Measurements
Kilometres (km)
metres (m)
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centimetres (cm)
millimetres (mm)
28
Units of Length Converting Measurements
Examples
Convert 2m to cm
2 x 100 200 cm
Convert 4km to m
4 x 1000 4000 m
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Convert 34cm to mm
34 x 10 340 mm
Convert 50cm to m
50 100 0.5 m
29
Weight Scales
S4
Kilograms
x 1000
grams
2kg
2 x 1000
2000g
1.5kg
1.5 x 1000
1500g
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1000
Kilograms
grams
3000 1000
3000g
3kg
1500 1000
1500g
1.5kg
30
Converting Weights
Examples
Convert 4 kg to g
4 x 1000 4000 g
Convert 9 kg to g
9 x 1000 9000 g
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Convert 2000 g to kg
2000 1000 2 kg
Convert 5000 g to kg
5000 1000 5 kg
31
Whole Numbers
Multiply Divide by 10, 100, 1000
MNU 2-02a MNU 2-03a
Now try Exercise 3 4 Ch1 (page 13)
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32
Starter Questions
MNU 2-02a MNU 2-03a
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34o
33
Whole Numbers
Multiplying by a single number
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
  1. Remember your tables.

1 We are learning how to do multiply by a single
digit.
2. Apply appropriate layout and working for
multiplying by a single digit.
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34
Are there any errors in these sums.
Whole Numbers
Addition and Subtraction
MNU 2-02a MNU 2-03a
There are many reasons why pupils do not get the
correct answer to multiplication sums.
23 x 9
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35
Whole Numbers
Multiplying by a single number
MNU 2-02a MNU 2-03a
To be able to multiply by a single digit you need
to know your tables.
Examples
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36
Whole Numbers
Multiplying by a single number
MNU 2-02a MNU 2-03a
Example A palette holds 164 tins of paint.
How many tins in 8 palettes.
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37
Whole Numbers
Multiplying by a single number
MNU 2-02a MNU 2-03a
Now try Exercise 5 Ch1 (page 15)
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38
Starter Questions
MNU 2-02a MNU 2-03a
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123o
39
Whole Numbers
Dividing by a single number
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
1 We are learning how to do divide by a single
digit.
1. Apply appropriate layout and working for
dividing by a single digit.
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40
Are there any errors in these sums.
Whole Numbers
Addition and Subtraction
MNU 2-02a MNU 2-03a
There are many reasons why pupils do not get the
correct answer to division sums.
586 9
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41
Whole Numbers
Dividing by a single number
MNU 2-02a MNU 2-03a
Use the following layout for dividing by a single
digit.
Examples 732 8 950 5
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42
Whole Numbers
Dividing by a single number
MNU 2-02a MNU 2-03a
Example A carton can hold 6 eggs. How many
cartons are needed for 5436 eggs.
906
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43
Whole Numbers
Dividing by a single number
MNU 2-02a MNU 2-03a
Example Copy and complete.
544
1853
1239
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652
952
2336
44
Whole Numbers
Dividing by a single number
MNU 2-02a MNU 2-03a
Now try Exercise 7 Ch1 (page 17)
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45
Starter Questions
MNU 2-02a MNU 2-03a
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36o
46
Whole Numbers
Multiply or Divide by 20,300,4000
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
1. Understand the two step process to multiply
or divide by 20, 300 etc
1 We are learning how to divide by 20, 300, 4000
etc using our knowledge so far.
2. Show all working.
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47
Whole Numbers
Multiply or Divide by 20,300,4000
MNU 2-02a MNU 2-03a
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.
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Example 1 Calculate 20 x 52
20 can be written as 2 x 10 so we have
2 x 10 x 52
Step 1 10 x 52
520
Step 2 2 x 520
1040
48
Whole Numbers
Multiply or Divide by 20,300,4000
MNU 2-02a MNU 2-03a
Example 2 Calculate 44 x 30
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
Example 3 Calculate 300 x 35
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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
49
Whole Numbers
Multiply or Divide by 20,300,4000
MNU 2-02a MNU 2-03a
Example 4 Calculate 16000 200
Since 200 divide by 100 then divide by 2
16000 100 2
160
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Step 1 16000 100
80
Step 2 160 2
50
Whole Numbers
Multiply or Divide by 20,300,4000
MNU 2-02a MNU 2-03a
Example 5 Calculate 120000 6000
Since 6000 divide by 1000 then divide by 6
120000 1000 6
120
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Step 1 120000 1000
20
Step 2 120 6
51
Whole Numbers
Multiply or Divide by 20,300,4000
MNU 2-02a MNU 2-03a
Now try Exercise 8 Ch41 (page 19)
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52
Starter Questions
MNU 2-02a MNU 2-03a
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53
Whole Numbers
Rounding to nearest 10, 100 and 1000
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
1. Understand the rules for rounding to the
nearest 10, 100, 1000.
1. We are learning to round numbers to the
nearest 10, 100 and 1000.
2. Apply rules to problems.
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54
Whole Numbers
Rounding to nearest 10, 100 and 1000
MNU 2-02a MNU 2-03a
To round to the nearest 10 look at the units
digit
- If it is a 0, 1, 2, 3, 4 leave the 10s digit
as it is.
- If it is a 5, 6, 7, 8, 9 round the 10s digit
up by 1.
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To round to the nearest 100 look at the tens
digit
- If it is a 0, 1, 2, 3, 4 leave the 100s digit
as it is.
- If it is a 5, 6, 7, 8, 9 round the 100s digit
up by 1.
55
Whole Numbers
Rounding to nearest 10, 100 and 1000
MNU 2-02a MNU 2-03a
To round to the nearest 1000 look at the
hundreds digit
- If it is a 0, 1, 2, 3, 4 leave the 1000s
digit as it is.
- If it is a 5, 6, 7, 8, 9 round the 1000s
digit up by 1.
Example Round 3467 to the nearest 10, 100, 1000
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3470
The nearest 10 3467
- look at the units digit
3500
The nearest 100 3467
- look at the tens digit
3000
The nearest 1000 3467
- look at the hundreds digit
56
Whole Numbers
Rounding to nearest 10, 100 and 1000
MNU 2-02a MNU 2-03a
Example Round 18 565 to the nearest 10, 100,
1000
The nearest 10 18 565
18 570
- look at the units digit
The nearest 100 18 565
18 600
- look at the tens digit
The nearest 1000 18565
19 000
- look at the hundreds digit
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57
Whole Numbers
Rounding to nearest 10, 100 and 1000
MNU 2-02a MNU 2-03a
Now try Exercise 9 Ch1 (page 21)
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58
Starter Questions
MNU 2-02a MNU 2-03a
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42o
59
Whole Numbers
Using Rounding to Estimate Answers
MNU 2-02a MNU 2-03a
Learning Intention
Success Criteria
1. Remember how to round numbers to a whole
number.
1. We are learning how estimate answer by
rounding.
2. Estimate the answer to a difficult
calculation using easier whole numbers.
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60
Whole Numbers
Using Rounding to Estimate Answers
MNU 2-02a MNU 2-03a
It is very important when solving problems that
we have a rough idea of the answer we are
expecting.
Example Mentally estimate the answer to 42 x 49
Easiest way, is to round the two numbers first
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40 x 50
400 x 5
2000
61
Whole Numbers
Using Rounding to Estimate Answers
MNU 2-02a MNU 2-03a
Example Mentally estimate the answer to 104 x 19
Easiest way, is to round the two numbers first
100 x 20
1000 x 2
2000
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Example Mentally estimate the answer to 878 27
Easiest way, is to round the two numbers first
900 30
90 3
30
62
Whole Numbers
Using Rounding to Estimate Answers
MNU 2-02a MNU 2-03a
Now try Exercise 10 Ch1 (page 22)
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