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Whole Numbers

Whole Numbers. Place Value. Multiplying / Dividing by 20, 50 , 3000. Rounding to 10, 100 and 1000. www.mathsrevision.com. Rounding and Estimating. Using a Calculator. BODMAS. Starter Questions. 34 o. www.mathsrevision.com. Whole Numbers. Place Value. Learning Intention.

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Whole Numbers

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  1. Whole Numbers Place Value Multiplying / Dividing by 20, 50 , 3000 Rounding to 10, 100 and 1000 www.mathsrevision.com Rounding and Estimating Using a Calculator BODMAS Created by Mr. Lafferty Maths Dept.

  2. Starter Questions 34o www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  3. Whole Numbers Place Value Learning Intention Success Criteria • 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 Created by Mr. Lafferty Maths Dept.

  4. Whole Numbers Place Value www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  5. Whole Numbers Place Value Write down the following numbers fully in words • 3000007 • 400678 • (c) 124 087 Three million and seven www.mathsrevision.com Four hundred thousand six hundred and seventy-eight One hundred and twenty-four thousand and eighty-seven Created by Mr. Lafferty Maths Dept.

  6. Whole Numbers Place Value Write down the following numbers using digits • Fourmillionand fifty • Eight hundred thousand and four • (c) Two hundred and forty thousand and nine 4000050 www.mathsrevision.com 800004 240 009 Created by Mr. Lafferty Maths Dept.

  7. Whole Numbers Place Value Write down the following numbers in order of size smallest first. 605 , 5106 , 4198 , 4921 , 516 , 506 www.mathsrevision.com 506 , 516 , 605 , 4198 , 4921 , 5106 Created by Mr. Lafferty Maths Dept.

  8. Weight & Scales Reading Scales Calculate the weight each arrow is pointing at? 12000g Count the number of small divisions 0 10000g 5 20000g Each division is worth www.mathsrevision.com 30000g 2000g 10000 ÷ 5 = 28000g 40000g 50000g 54000g Compiled by Mr. Lafferty Maths Dept.

  9. 0 20000g 40000g 60000g 80000g 100000g Weight & Scales Reading Scales Calculate the weight each arrow is pointing at? 8000g Count the number of small divisions 5 Each division is worth www.mathsrevision.com 4000g 20000 ÷ 5 = 72000g 104000g Compiled by Mr. Lafferty Maths Dept.

  10. Whole Numbers Place Value Place Value Sheet www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  11. Whole Numbers Now try TJ2b Ex 1 Ch1 (page 3) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  12. Starter Questions 28o www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  13. Whole Numbers Multiply or Divide by 20,300,4000 Learning Intention Success Criteria 1. Understand the two step process to multiply or divide by 20, 300 etc… • 1 We are learning how to multiply / divide by 20, 300, 4000 etc using our knowledge so far. 2. Show all working. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  14. Whole Numbers Multiply by 10, 100, 1000 To multiply by 10, 100, 1000 To multiply by 10 simply add a zero to the number To multiply by 100 simply add 2 zero’s to the number www.mathsrevision.com To multiply by 1000 simply add 3 zero’s to the number Example : Multiply 36 by 10, 100, 1000. Guess rule for 1000 36 x 10 = 360 36 x 100 = 3600 36 x 1000 = 36000 Created by Mr. Lafferty Maths Dept.

  15. Whole Numbers Multiply by 10, 100, 1000 Ex : A box of crisps contain 48 packets. How many in 100 boxes ? www.mathsrevision.com 4 8 0 0 Created by Mr. Lafferty Maths Dept.

  16. Whole Numbers Try and write down rule for 100, 1000 Divide by 10, 100, 1000 To Divide by 10, 100, 1000 To divide by 10 remove a zero from the number To divide by 100 remove 2 zero’s from the number To divide by 1000 remove 3 zero’s from the number www.mathsrevision.com Example : Divide 54000 by 10, 100, 1000. 54000 ÷ 10 = 5400 54000 ÷ 100 = 540 54000 ÷ 1000 = 54 Created by Mr. Lafferty Maths Dept.

  17. Whole Numbers Divide by 10, 100, 1000 Ex : A box contains 1000 cups. How many boxes are needed to hold 7000 ? www.mathsrevision.com 7 Created by Mr. Lafferty Maths Dept.

  18. Whole Numbers 1 0 4 0 Multiply or Divide by 20,300,4000 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. www.mathsrevision.com Example : 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 = Created by Mr. Lafferty Maths Dept.

  19. Whole Numbers 7 8 0 0 1 3 2 0 Multiply or Divide by 20, 300, 4000 Example : 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 = 440 Step 2 : 440 x 3 = Example : Calculate 300 x 26 www.mathsrevision.com 300 can be written as 3 x 100 so we have : 3 x 100 x 26 = Step 1 : 100 x 26 = 2600 Step 2 : 2600 x 3 = Created by Mr. Lafferty Maths Dept.

  20. Whole Numbers Multiply or Divide by 20,300,4000 Example : Calculate 16000 ÷ 200 Since 200 divide by 100 then divide by 2: 16000 ÷100 ÷ 2 160 www.mathsrevision.com Step 1 : 16000 ÷ 100 = 8 0 Step 2 : Created by Mr. Lafferty Maths Dept.

  21. Whole Numbers Multiply or Divide by 20,300,4000 Example : Calculate 120000 ÷ 6000 Since 6000 divide by 1000 then divide by 6: 120000 ÷1000 ÷ 6 120 www.mathsrevision.com Step 1 : 120000 ÷ 1000 = 2 0 Step 2 : Created by Mr. Lafferty Maths Dept.

  22. Whole Numbers Multiply or Divide by 20,300,4000 Now try TJ2b Ex 2 Ch1 (page 5) www.mathsrevision.com Are you on Target ? I can ? Created by Mr. Lafferty Maths Dept.

  23. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  24. Whole Numbers Learning Intention Success Criteria 1. Understand the rules for rounding to the nearest 10, 100 and 1000. • 1. We are learning to round numbers to the nearest 10, 100 and 1000. 2. Apply rules to problems. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  26. Whole Numbers Example : Round 8 565 to the nearest 10 and 100. The nearest 10 : 8 565 8 570 - look at the units digit : The nearest 100 : 8 565 8 600 - look at the tens digit : www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  27. Whole Numbers Now try TJ2b Ex 3 Ch1 (page 7) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  28. Starter Questions www.mathsrevision.com 42o Created by Mr. Lafferty Maths Dept.

  29. Estimating Using Sig. Fig. to Estimate Answers Learning Intention Success Criteria • 1. We are learning how to estimate an answer using significant figures. 2. Estimate the answer to a calculation using significant figures. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  30. Estimating Using Sig. Fig. to Estimate Answers 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 by rounding each number to 1 sig. fig. first. www.mathsrevision.com 40 x 50 = 400 x 5 = 2000 Created by Mr. Lafferty Maths Dept.

  31. Estimating Using Sig. Fig. to Estimate Answers Example : Mentally estimate the answer to 104 x 19 by rounding each number to 1 sig. fig. first. 100 x 20 = 1000 x 2 = 2000 www.mathsrevision.com Example : Mentally estimate the answer to 878 ÷ 27 by rounding each number to 1 sig. fig. first. 900 ÷ 30 = 90 ÷ 3 = 30 Created by Mr. Lafferty Maths Dept.

  32. Whole Numbers Now try TJ2b Ex 4 Ch1 (page 8) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  33. Starter Questions Q1. 382000 ÷ 1000 Q2. 13 + 22 – 35 Q3. Find the missing angle www.mathsrevision.com 120o Created by Mr. Lafferty Maths Dept.

  34. Using a Calculator Learning Intention Success Criteria 1. Be able to use a scientific calculator with confidence. • 1 We are learning to use a scientific calculator. 2. Use calculator to evaluate complicated calculations. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  35. Using a Calculator We should by now ALL have the FX83 calculator. We will use it to do more complicated calculations. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  36. Using a Calculator Josh won £1.2 million on the lottery He spent £142000 on a fancy car. How much does he have left ? 1200000 – 142000 www.mathsrevision.com = £1058000 Created by Mr. Lafferty Maths Dept.

  37. Using a Calculator Celtic are expect 10000 fans to go to the cup final in Lisbon. A plane can hold 380 people. How many planes are needed ? www.mathsrevision.com 10000 – 380 27 planes = 26.3 Created by Mr. Lafferty Maths Dept.

  38. Using a Calculator Maria pays £32 every time she goes to the fitness suite. She goes twice a month. Her budget for the year is £700. Does she go over her budget ? www.mathsrevision.com 32 x 2 x 12 She goes over budget by £68 = £768 Created by Mr. Lafferty Maths Dept.

  39. Whole Numbers Now try TJ2b Ex 5 Ch1 (page 9) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  40. Starter Questions Q1. 34 x 1000 Q2. 3 + 2 x 4 Q3. Find the missing angle www.mathsrevision.com 58o Created by Mr. Lafferty Maths Dept.

  41. BODMAS Learning Intention Success Criteria 1. Understand the order of calculations. • 1 We are learning the order of calculations using BODMAS. 2. Use BODMAS to evaluate complicated calculations. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  42. BODMAS Calculations MUST BE done in a certain order. We can use BODMAS to help us remember the order. B - O - D - M - A - S - Brackets x and ÷ same priority Other www.mathsrevision.com Division Multiplication + and - same priority Addition Subtraction Created by Mr. Lafferty Maths Dept.

  43. BODMAS 9 – half of 10 + 2 200 – 25 x 2 = 9 – 5 + 2 = 200 – 50 = 4 + 2 = 150 www.mathsrevision.com = 6 Created by Mr. Lafferty Maths Dept.

  44. BODMAS 4 x ( 48 + 12) + 10 80 ÷ (8 – 3) = 4 x 60 + 10 = 80 ÷ 5 = 240 + 10 = 16 www.mathsrevision.com = 250 Created by Mr. Lafferty Maths Dept.

  45. Have you updated your Learning Log ? BODMAS Now try TJ2b Ex 6 Ch1 (page 11) www.mathsrevision.com Are you on Target ? I can ? Mind Map Created by Mr. Lafferty Maths Dept.

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