1. 14/11/2018
Starter 10

2. 14/11/2018
Standard Form

3. STANDARD FORM FOR LARGE NUMBERS
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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
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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
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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
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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