14/11/2018 Starter 10.

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1 14/11/2018 Starter 10

2 14/11/2018 Standard Form

3 STANDARD FORM FOR LARGE NUMBERS
14/11/2018 STANDARD FORM FOR LARGE NUMBERS

4 14/11/2018 Our decimal number system is based on powers of ten.
We can write powers of ten using index notation. 10 = 101 100 = 10 × 10 = 102 1000 = 10 × 10 × 10 = 103 = 10 × 10 × 10 × 10 = 104 = 10 × 10 × 10 × 10 × 10 = 105 = 10 × 10 × 10 × 10 × 10 × 10 = 106 …

5 14/11/2018 For example, the mass of the planet earth is about kg. We can write this in standard form as a number between 1 and 10 multiplied by a power of 10. 5.97 × 1024 kg A number between 1 and 10 A power of ten

6 14/11/2018 Write the number below in standard form 6.754 x 1017 Write the number below in standard form 4.371 x 1014

7 14/11/2018 . 8 × 107 8 8 × 10 × 10 × 10 × 10 × 10 × 10 × 10 . = 80,000,000

8 14/11/2018 . . 5 273 × 108 5 273 . 5 273 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 . 00000 = 527,300,000

9 14/11/2018 = 8 × 107 = 2.3 × 108 = 7.24 × 105 = 6.003 × 109 = × 102

10 14/11/2018 5 × 1010 = 7.1 × 106 = 4.208 × 1011 = 2.168 × 107 = × 103 = 6764.5

11 14/11/2018 300,000 2) 50,000,000 3) 4000 72,000,000 5) 67,000 6) 293,657 7) 46,500,000,000,000 8)100,000,000,000,000 3.0 x 105 5.0 x 107 4.0 x 103 7.2 x 107 x 105 6.7 x 104 4.65 x 1013 1.0 x 1014 9) 5 x ) 7 x ) 1 x 103 12) 3.4 x ) 5.67 x ) 4.73 x 102 15) x ) x 104 50,000 7,000,000 1,000 340 56,700,000 473 838,656.76 20,003

12 STANDARD FORM FOR SMALL NUMBERS
14/11/2018 STANDARD FORM FOR SMALL NUMBERS

13 14/11/2018 Any number raised to the power of 0 is 1, so 1 = 100
Decimals can be written using negative powers of ten 0.1 = = = 10-1 1 10 101 0.01 = = = 10-2 1 102 100 0.001 = = = 10-3 1 103 1000 = = = 10-4 1 10000 104 = = = 10-5 1 100000 105 = = = … 1 106

14 14/11/2018 Write the number below in standard form 4.26 x 10-15 Write the number below in standard form 5.83 x 10-11

15 EXAMPLE: Write the following number in standard form: 0.000045
14/11/2018 EXAMPLE: Write the following number in standard form:

16 14/11/2018 EXAMPLE: Write the following number in standard form:

17 14/11/2018 . 4 x 10-3 4 4 x 10-1 x 10-1 x 10-1 . 0 00 . = 0 004

18 14/11/2018 . . 2 35 2 35 x 10-4 2.35 x 10-1 x 10-1 x 10-1 x 10-1 . 0 000 . =

19 14/11/2018 = 6 × 10-4 = 7.2 × 10-7 = 5.02 × 10-5 = 3.29 × 10-8 = 1.008 × 10-3

20 14/11/2018 8 × 10-4 = 0.0008 2.6 × 10-6 = 9.108 × 10-8 = 7.329 × 10-5 = × 10-2 =

21 14/11/2018 1) ) ) 0.01 4) ) ) 7) ) ) 0.9 3 x 10-3 5 x 10-5 1 x 10-2 4.5 x 10-3 2.85 x 10-4 7.86 x 10-7 2 x 10-6 9.02 x 10-2 9 x 10-1 10) 2 x ) 4 x ) x 10-4 13) x ) x 10-1 15) x ) 9 x 10-8 0.002 0.8412

22 Let’s Bring it all together with some spaceships
14/11/2018 Let’s Bring it all together with some spaceships

23 14/11/2018 STANDARD FORM QUIZ! Non calc questions

24 14/11/2018 Write 4,000,000,000 in standard form

25 14/11/2018 Write 36,000 in standard form

26 14/11/2018 Write 14,300,000 in standard form

27 14/11/2018 Write in standard form

28 14/11/2018 Write in standard form

29 Ordering standard form
14/11/2018 Ordering standard form

30 14/11/2018 Write these numbers in order from smallest to largest:
5.3 × 10-4, 6.8 × 10-5, 4.7 × 10-3, 1.5 × 10-4. Write these numbers in order from smallest to largest: 4.2 × 107, 1.6 × 106, 3.4 × 106, 7.8 × 105. Write these numbers in order from smallest to largest: 1.8 × 10-2, 6.2 × 10-1, 2.5 × 102, 5.2 × 103.

31 CALCULATIONS IN STANDARD FORM
14/11/2018 CALCULATIONS IN STANDARD FORM

32 2 × 103 × 3 × 104 2 × × 105 = 6 × 107 7.2 × × 104 8 × 107 2 × 103 = 4 × 104

33 14/11/2018 1) 2 × 103 × 3 × ) 4 × 107 × 1 × 10-2 3) 8 × ) ( 6 × 103)2 6 × 108 4 × 105 4 × 10-2 3.6 × 107 2 × 107 5) 5 × × ) 8 × × 10-5 7) 400,000 × 2 × ) 9 × ÷ 5.7 × 108 7.1 × 10-4 8 × 102 3 × 10-1

34 14/11/2018 Using a calculator with standard form Complete calculations as usual Use this button to type in standard form numbers Make sure that you INTERPRET the answer correctly, and give your result in the form required by the question × 10 𝑥

35 14/11/2018 Use a calculator, give answers in standard form
Use a calculator, give answers in ordinary form 1) 800,000 × 350,000,000 2) 3 × × 104 7.0 × 1020 4.1 × 109 3) 5.6 × 107 × 60,000 4) 800,000,000,000,000,000 3.2 × 10-5 1.1 × 1017 4.0 × 1030 5) (2 × 106)5 6) (-3.4 × 10-3)-2 3.2 × 1031 8.7 × 104 7) 4 × × ) × 3 × 10-2 6 × 10-8 300,000 0.002 9) 8.4 × ) (2 × 105)-1 2.1 × 10-3 400,000,000,000,000 0.0004 125,000,000

36 14/11/2018 STANDARD FORM RECAP

37 14/11/2018 STANDARD FORM QUIZ! Non calc questions

38 14/11/2018 Add together 4.2 x 104 and 7.3 x 105

39 14/11/2018 Multiply 3 x 105 and 2.5 x 107

40 14/11/2018 Work out (4 x 108) ÷ (5 x 102)

41 Let’s have a go at the booklet questions
14/11/2018 Let’s have a go at the booklet questions