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25-Aug-14Created by Mr. Lafferty Maths Dept. Multiplying & Dividing by 10,100,1000 Multiplying by a Single Digit Whole Numbers www.mathsrevision.com Rounding.

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Presentation on theme: "25-Aug-14Created by Mr. Lafferty Maths Dept. Multiplying & Dividing by 10,100,1000 Multiplying by a Single Digit Whole Numbers www.mathsrevision.com Rounding."— Presentation transcript:

1 25-Aug-14Created by Mr. Lafferty Maths Dept. Multiplying & Dividing by 10,100,1000 Multiplying by a Single Digit Whole Numbers 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

2 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 34 o MNU 2-02a MNU 2-03a

3 25-Aug-14Created by Mr. Lafferty Maths Dept. 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. Whole Numbers 2.Be able solve simply problems involving place value. Place Value MNU 2-02a MNU 2-03a

4 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Place Value

5 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Place Value Sheet MNU 2-02a MNU 2-03a Place Value

6 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise XX Ch1 (page XX) Whole Numbers MNU 2-02a MNU 2-03a Place Value

7 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions MNU 2-02a MNU 2-03a

8 25-Aug-14Created by Mr. Lafferty Maths Dept. 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. Whole Numbers 2.Be able solve simply problems involving place value. Reading Scales MNU 2-02a MNU 2-03a

9 25-Aug-14Compiled by Mr. Lafferty Maths Dept. Liquid Volume S4 Litres 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

10 25-Aug-14Compiled by Mr. Lafferty Maths Dept. Liquid Volume S4 Litres 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 7 = 1400ml or 1.4 litres 1litre = 1000ml Reading Scales

11 25-Aug-14Compiled by Mr. Lafferty Maths Dept. Liquid Volume S4 Litres How much liquid in the jug ? ( Careful different scale) Count the number of small divisions 4 Each division is worth 1 litre ÷ 4 = 1000ml ÷ 4 = 250ml 250ml x 7 = 1750ml or 1.75 litres 1litre = 1000ml Reading Scales

12 25-Aug-14Compiled by Mr. Lafferty Maths Dept. S4 Calculate the weight each arrow is pointing at? Count the number of small divisions 5 Each division is worth 100 ÷ 5 = 20g Weight & Scales 0 100g 200g 300g 400g 500g 120g 280g 540g Reading Scales

13 25-Aug-14Compiled by Mr. Lafferty Maths Dept. S4 Calculate the weight each arrow is pointing at? Count the number of small divisions 5 Each division is worth 200 ÷ 5 = 40g Weight & Scales 0 200g 400g 600g 800g 1kg 80g 720g 1kg 20g Reading Scales

14 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Reading Weights MNU 2-02a MNU 2-03a Reading Scales Reading different scales Scale Sheet

15 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise XX Ch1 (page XX) Whole Numbers Reading Scales MNU 2-02a MNU 2-03a

16 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions MNU 2-02a MNU 2-03a

17 25-Aug-14Created by Mr. Lafferty Maths Dept. 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. Whole Numbers 2.Be able to solve simple problems involving addition and subtraction. MNU 2-02a MNU 2-03a Addition and Subtraction

18 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Addition and Subtraction There are many reasons why pupils do not get the correct answer to addition and subtraction sums Are there any errors in these sums.

19 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Addition and Subtraction Proper layout

20 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise XX Ch1 (page xx) Whole Numbers MNU 2-02a MNU 2-03a Addition and Subtraction

21 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions MNU 2-02a MNU 2-03a Make up your own addition subtraction

22 25-Aug-14Created by Mr. Lafferty Maths Dept. 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, Whole Numbers 2.Be able do simple calculations. Multiply by 10, 100, 1000 MNU 2-02a MNU 2-03a

23 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers For 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, 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 x 10 =36 x 100 =36 x 1000 = MNU 2-02a MNU 2-03a

24 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Multiply 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

25 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Divide by 10, 100, 1000 To Divide by 10, 100, 1000 To divide by 10 remove a zero from the number Example : Divide by 10, 100, 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, ÷ 10 =54000 ÷ 100 = ÷ 1000 = MNU 2-02a MNU 2-03a

26 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Divide 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

27 MNU 2-11b MNU2-11c MTH 3-11b 25-Aug-14Created by Mr. Lafferty Maths Dept. Units of Length Converting Measurements Units of Length Converting Measurements Kilometres (km) metres (m) centimetres (cm) millimetres (mm)

28 MNU 2-11b MNU2-11c MTH 3-11b 25-Aug-14Created by Mr. Lafferty Maths Dept. Units of Length Converting Measurements Units of Length Converting Measurements Examples 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

29 25-Aug-14Compiled by Mr. Lafferty Maths Dept. S4 Weight & Scales Kilograms grams x kg 2 x g 1.5kg 1.5 x g grams Kilograms ÷ g 3000 ÷ kg 1500g 1500 ÷ kg

30 MNU 2-11b MNU2-11c MTH 3-11b 25-Aug-14Created by Mr. Lafferty Maths Dept. Converting Weights Examples 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

31 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 3 & 4 Ch1 (page 13) Whole Numbers Multiply & Divide by 10, 100, 1000 MNU 2-02a MNU 2-03a

32 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 34 o MNU 2-02a MNU 2-03a

33 25-Aug-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Remember your tables. 1 We are learning how to do multiply by a single digit. Whole Numbers 2.Apply appropriate layout and working for multiplying by a single digit. Multiplying by a single number MNU 2-02a MNU 2-03a

34 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Addition and Subtraction There are many reasons why pupils do not get the correct answer to multiplication sums. 23 x x 9 Are there any errors in these sums.

35 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers To be able to multiply by a single digit you need to know your tables. Multiplying by a single number Examples MNU 2-02a MNU 2-03a

36 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Example : A palette holds 164 tins of paint. How many tins in 8 palettes. Multiplying by a single number 164 x MNU 2-02a MNU 2-03a

37 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 5 Ch1 (page 15) Whole Numbers Multiplying by a single number MNU 2-02a MNU 2-03a

38 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 123 o MNU 2-02a MNU 2-03a

39 25-Aug-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1 We are learning how to do divide by a single digit. Whole Numbers 1.Apply appropriate layout and working for dividing by a single digit. Dividing by a single number MNU 2-02a MNU 2-03a

40 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers MNU 2-02a MNU 2-03a Addition and Subtraction There are many reasons why pupils do not get the correct answer to division sums. 586 ÷ 9 Are there any errors in these sums.

41 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Use the following layout for dividing by a single digit. Examples : 732 ÷ 8950 ÷ 5 Dividing by a single number MNU 2-02a MNU 2-03a

42 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Example : A carton can hold 6 eggs. How many cartons are needed for 5436 eggs Dividing by a single number MNU 2-02a MNU 2-03a

43 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Example : Copy and complete Dividing by a single number MNU 2-02a MNU 2-03a

44 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 7 Ch1 (page 17) Whole Numbers Dividing by a single number MNU 2-02a MNU 2-03a

45 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 36 o MNU 2-02a MNU 2-03a

46 25-Aug-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 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… Whole Numbers 2. Show all working. Multiply or Divide by 20,300,4000 MNU 2-02a MNU 2-03a

47 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Example 1 :Calculate 20 x 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, x 10 x 52 = Step 1 : 10 x 52 = Step 2 : 2 x 520 = MNU 2-02a MNU 2-03a

48 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Example 2 :Calculate 44 x can be written as 10 x 3 so we have : Multiply or Divide by 20,300, x 10 x 3 = Step 1 : 44 x 10 =Step 2 : 440 x 3 = Example 3 :Calculate 300 x can be written as 3 x 100 so we have : 3 x 100 x 35 = Step 1 : 100 x35 =Step 2 : 3500 x 3 = MNU 2-02a MNU 2-03a

49 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Example 4 : Calculate ÷ 200 Since 200 divide by 100 then divide by 2: Multiply or Divide by 20,300, ÷ 100 ÷ 2 = Step 1 : ÷ 1 00 = Step 2 : 160 ÷ 2 = MNU 2-02a MNU 2-03a

50 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Example 5 : Calculate ÷ 6000 Since 6000 divide by 1000 then divide by 6: Multiply or Divide by 20,300, ÷ 1000 ÷ 6 = Step 1 : ÷ = Step 2 : 120 ÷ 6 = MNU 2-02a MNU 2-03a

51 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 8 Ch41 (page 19) Whole Numbers Multiply or Divide by 20,300,4000 MNU 2-02a MNU 2-03a

52 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 28 o MNU 2-02a MNU 2-03a

53 25-Aug-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. We are learning to round numbers to the nearest 10, 100 and Understand the rules for rounding to the nearest 10, 100, Whole Numbers 2. Apply rules to problems. Rounding to nearest 10, 100 and 1000 MNU 2-02a MNU 2-03a

54 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers To round to the nearest 10 : look at the units digit: Rounding to nearest 10, 100 and If it is a 0, 1, 2, 3, 4leave the 10’s digit as it is. - If it is a 5, 6, 7, 8, 9round the 10’s digit up by 1. To round to the nearest 100 : look at the tens digit: - If it is a 0, 1, 2, 3, 4leave the 100’s digit as it is. - If it is a 5, 6, 7, 8, 9round the 100’s digit up by 1. MNU 2-02a MNU 2-03a

55 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers To round to the nearest 1000 : look at the hundreds digit: Rounding to nearest 10, 100 and If it is a 0, 1, 2, 3, 4leave the 1000’s digit as it is. - If it is a 5, 6, 7, 8, 9round the 1000’s digit up by 1. Example : Round 3467 to the nearest 10, 100, 1000 The nearest 10 : look at the units digit : 3470 The nearest 100 : look at the tens digit : 3500 The nearest 1000 : look at the hundreds digit: 3000 MNU 2-02a MNU 2-03a

56 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Rounding to nearest 10, 100 and 1000 Example : Round to the nearest 10, 100, 1000 The nearest 10 : look at the units digit : The nearest 100 : look at the tens digit : The nearest 1000 : look at the hundreds digit: MNU 2-02a MNU 2-03a

57 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 9 Ch1 (page 21) Whole Numbers Rounding to nearest 10, 100 and 1000 MNU 2-02a MNU 2-03a

58 25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions 42 o MNU 2-02a MNU 2-03a

59 25-Aug-14Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. We are learning how estimate answer by rounding. 1. Remember how to round numbers to a whole number. Whole Numbers 2. Estimate the answer to a difficult calculation using easier whole numbers. Using Rounding to Estimate Answers MNU 2-02a MNU 2-03a

60 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers It is very important when solving problems that we have a 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

61 25-Aug-14Created by Mr. Lafferty Maths Dept. Whole Numbers Using Rounding to Estimate Answers 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 Example :Mentally estimate the answer to 878 ÷ 27 Easiest way, is to round the two numbers first 900 ÷ 30 =90 ÷ 3 =30 MNU 2-02a MNU 2-03a

62 25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 10 Ch1 (page 22) Whole Numbers Using Rounding to Estimate Answers MNU 2-02a MNU 2-03a


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