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Learning Objective :

Key words: Square Triangle trapezium. Learning Objective :. Application Tasks…. Learn. L 4. Rounding – to the nearest 10. 4 8 3 7. 1 9 5. 4 8 3 2. No. Yes. Yes. 5 or more?. 5 or more?. 5 or more?. 4 8 4 0. 2 0 0. 4 8 3 0. L 4. Rounding – to the nearest 100.

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Learning Objective :

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  1. Key words: Square Triangle trapezium Learning Objective: Application Tasks…

  2. Learn L 4 Rounding – to the nearest 10 4 8 3 7 1 9 5 4 8 3 2 No Yes Yes 5 or more? 5 or more? 5 or more? 4 8 4 0 2 0 0 4 8 3 0

  3. L 4 Rounding – to the nearest 100 Apply 5 8 7 2 8 9 1 5 8 2 3 1 No Yes Yes 5 9 0 0 1 0 0 1 5 8 2 0 0 • Copy & • complete • this table: 5 or more? 5 or more? 5 or more? 37520 37500 38000 274500 274500 275000 Your Turn 7630920 7630900 7631000 9900 10000 9880 450 500 0

  4. L 5 Rounding to 1 Decimal Place (1DP) Learn 4 . 8 4 2 5 4 . 8 5 2 4 . 8 3 2 5 No No Yes 4 . 8 4 . 9 4 . 8 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 . 2 6 7 1 4 1 . 9 6 7 4 . 8 7 Yes Yes Yes 5 . 3 2 . 0 4 . 9

  5. L5 Rounding to Decimal Places: 2DP Learn 4 . 8 4 6 4 . 8 5 9 5 1 4 . 8 3 2 5 No Yes Yes 4 . 8 5 4 . 8 6 4 . 8 3 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 . 2 6 7 1 1 . 8 9 7 1 . 6 9 4 9 No Yes Yes 5 . 2 7 1 . 9 0 1 . 6 9

  6. L5 Rounding to Decimal Places: 3DP Learn 4 . 8 4 6 2 4 . 8 5 9 5 4 . 8 3 2 5 Yes No Yes 4 . 8 4 6 4 . 8 6 0 4 . 8 3 3 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 . 2 6 2 7 1 . 9 9 9 9 1 . 6 9 4 2 No Yes Yes 5 . 2 6 3 2 . 0 0 0 1 . 6 9 4

  7. Rounding to Decimal Places Apply 1DP 2DP 3DP 4 . 8 5 2 1 . 6 9 4 9 5 . 2 6 2 7 Yes No Yes 4 . 9 1 . 6 9 5 . 2 6 3 • Copy & • complete • this table: 5 or more? 5 or more? 5 or more? 63.5 63.47 63.472 87.7 87.66 87.656 Your Turn 150.0 149.99 149.988 D 3.5 3.54 3.540 0.6 0.60 0.600

  8. L6 Learn Significant Figures: Important Zeros in Numbers 0 5 2 0 0 a. Which zeros matter? Are there any we could get rid of and still have the same value? 2 5 . 0 0 b. 0 0 . 5 0 c. . 0 2 5 0 d. When dealing with Significant Figures, you need to keep any zeros that tell us the value of a number

  9. L6 Rounding to 1 Significant Figure (1SF) Learn 0 . 0 0 1 2 1 . 0 0 9 5 0 . 0 7 6 5 Yes No No 0 . 0 0 1 1 0 . 0 8 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 8 7 7 5 2 4 1 No Yes Yes 6 0 0 8 0 2 0 0

  10. L6 Rounding to 2 Significant Figure (2SF) Learn 1 . 4 2 7 9 0 . 0 5 3 5 1 4 7 2 Yes No Yes 1 . 4 0 . 0 5 4 1 5 0 0 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 2 0 4 4 7 8 0 . 0 6 9 6 4 2 7 2 8 Yes No Yes 2 0 0 0 0 0 0 . 0 7 0 4 3 0 0 0

  11. L6 Rounding to 3 Significant Figure (3SF) Learn 3 . 2 9 4 9 3 4 7 2 8 0 . 0 2 6 7 1 No No No 3 . 2 9 3 4 7 0 0 0 . 0 2 6 7 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 5 or more? 9 7 4 9 7 8 1 2 . 0 6 9 1 3 7 9 8 Yes Yes Yes 9 7 5 0 0 0 1 2 . 1 1 3 8 0 0

  12. Rounding to Significant Figures Apply 1SF 2SF 3SF 0 . 0 7 6 5 4 2 7 2 8 1 2 . 0 6 9 Yes Yes Yes 0 . 0 8 4 3 0 0 0 1 2 . 1 • Copy & • complete • this table: 5 or more? 5 or more? 5 or more? 6.35 6.4 6 30 34 34.0 Your Turn 0.00571 0.006 0.0057 C 150 151 200 0.000078 0.00008 0.0000784

  13. You need to understand about powers of 10. Try these to test your previous knowledge. Learn 105 10-1 102 103 101 10-2 106 10-3 Remember this? 100 104 (Use the worksheet “powers of ten” for further explanation)

  14. Learn Standard Form is used a lot in maths and science as a convenient way of writing very large, or very small numbers for example: The distance from the earth to the sun is 149 000 000 km huge! A hydrogen atom has a diameter of about 0.000 000 2 mm microscopic!

  15. Learn Let’s deal with large numbers first. Look at how these numbers have been broken down: • = 5 × 100 • 5000 = 5 × 1 000 • 50 000 = 5 × 10 000 = 5 × 102 = 5 × 103 = 5 × 104 you know how to write these as powers of 10

  16. Learn What about these? = 5.5 × 102 550 5 500 55 000 = 5.5 × 100 = 5.5 × 1 000 = 5.5 × 103 = 5.5 × 10 000 = 5.5 × 104

  17. Learn Put these numbers into standard form: 4 000 = 4 × 103 = 4.5× 102 = 5.5× 104 = 3.5 × 103 = 7.5 × 105 = 6 × 103 = 4× 102 = 8× 104 = 9 × 103 = 4 × 105 6 000 450 400 55000 80 000 3500 9 000 750 000 4 00 000

  18. Learn Standard form is: a number between 1 and 10 × a power of ten positive or negative butnot including 10

  19. Apply Now try writing these numbers in standard form: = 5 × 106 = 5.5 × 106 = 5.25 × 106 = 5.1 × 106 = 5.156342 × 106 5 000 000 5 500 000 5 250 000 5 100 000 5 156 342

  20. Learn Reverse! Change each of these numbers to an ordinary number 2.8 × 101 9.9 × 1010 7.1 × 104 3.97 × 102 8.172 × 102 6 × 102 2 × 103 5 × 107 9 × 108 3.7 × 109

  21. Learn The next stage is to write very small numbers, i.e. numbers less than 1 Check that you understand about negative powers of 10 0.001 = 0.1 = 1 = 10-1 0.01 = 0.0001 = 10 0.00001 =

  22. Apply Write in standard form: 0.007 0.04 0.000 000 005 0.0234 0.000 002 3 0.006 7 0.000 000 002 34 0.006 7 0.3 0.000 045

  23. Change to small numbers Apply 3.5 × 10-1 4.5 × 10-4 7.2 × 10-5 6.1 × 10-3 1.17 × 10-10

  24. Change each of these to a large or small number: Apply 1.115 × 104 1.412 × 10-3 7.2 × 101 9.01 × 10-2 1.17 × 106 5.5 × 10-6 6.5 × 10-8 3.2 × 105 2.9 × 102 3.167 × 10-11

  25. How do you round to the nearest Significant figure? Evaluate

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