1. Lesson Objective
Revise how to write numbers using Standard Form
Understand what the notation for Standard Form Means
Begin to use a calculator to solve problems involving Standard Form

2. Match the items with their correct sizes.
Can you write each size in Standard Form?

6. A number written in Standard Form will always look like this:
Number here MUST be:
1  a < 10
Must always be written as × 10n
n is +ve for big numbers n is –ve for small numbers

7. Important key facts about Standard Index Form
Write the number in the following form:
a × 10n
Number here MUST be:
1 ≤ a < 10
Must always be written as × 10n
n is +ve for big numbers n is –ve for small numbers
Eg × =
4.21 × =

8. Write these numbers in Standard Index Form: 1.
Write these numbers in Standard Index Form:
b) c)
e) f) 6.2
g) h) i) 2.
(a)    Which planet has the largest diameter?
(1)
(b)    Which planet has the smallest diameter?
(c)    Which planet has a diameter approximately times that of Venus?
(d)   Write 4.88 × 106 as an ordinary number.
(e)    What is the diameter of Pluto in kilometres?
Give your answer in standard form.
(2)

9. Using your calculator to solve problems
Involving SI Form
Compare these two problems
A car travels 600 m in 84 seconds.
What is its average speed during the
journey?
2) A particle travels 5 × 108 m in
3 × 103 seconds what is the average
speed of the particle during the journey?

10. Lesson Objective
Revise how to write numbers using Standard Form
Understand what the notation for Standard Form Means
Be able to do arithmetic without a calculator using Standard Form

11. Write this number in Standard Index form:

12. Write this number in Standard Index form:

13. Write this number in Standard Index form:
0.067

14. Write this number in Standard Index form:

15. Write this number in Standard Index form:
0.5

16. Write this number in Standard Index form:10

17. Write this number in Standard Index form:8

18. Write this number as a Decimal:
5.2 × 106

19. Find (without a calculator): If a = 3 × 105 and b = 2 × 103
Write down the value of a × b in Standard Form

20. Find (without a calculator): If a = 3 × 104 and b = 4 × 102
Write down the value of a × b in Standard Form

21. Find (without a calculator): If a = 6 × 103 and b = 3 × 104
Write down the value of a × b in Standard Form

22. Find (without a calculator): If a = 6 × 103 and b = 3 × 104
Write down the value of a + b in Standard Form

23. Find (without a calculator): If a = 6 × 105 and b = 8 × 105
Write down the value of a + b in Standard Form

24. Find (without a calculator): If a = 2.4 × 105 and b = 3 × 104
Write down the value of a + b in Standard Form

25. Find (without a calculator): If a = 9 × 105 and b = 3 × 104
Write down the value of a ÷ b in Standard Form

26. Find (without a calculator): If a = 12 × 108 and b = 4 × 105
Write down the value of a ÷ b in Standard Form

27. Find (without a calculator): If a = 4 × 108 and b = 8 × 106
Write down the value of a ÷ b in Standard Form

28. Important key facts about Standard Index Form
Write the number in the following form:
a × 10n
Number here MUST be:
1 ≤ a < 10
Must always be written as × 10n
n is +ve for big numbers n is –ve for small numbers
Eg × =
4.21 × =

29. For S.I. Form without a calculator:
When multiplying and dividing use the normal index laws, but make certain the final answer is properly in S.I. Form
Eg × × 3×105 = 21×109
= 2.1×1010
When adding and subtracting take the numbers out of S.I. Form (or at least adjust them so that the index is the same) then add/subtract as normal
Eg × ×105 = 7× ×103
= 307×103
= 3.07×105
(or do = = 3.07 ×105)

30. Let a = 3 × 106 b = 2 × c = 5 × 107 d = 8 × 106
Find:
a × b c2
a × c
d ÷ b
b ÷ d
a + d
a + c
a - c

31. Pick two different numbers and an operation.
1.5×101
3.6×1015
3.6×103
2.5×10-8
2×10-11
6×1013
2.4×106
1.6×101
Pick two different numbers and an operation.
You capture the square if your calculation is correct.
1.22×108
9.008×10-3
2.5×1011
1.2×1013
2.7×105
2.4×102
3×10-10
6×101
2.5×108
2.4×1014
5×1010
4.8×1013
8×1011
3×102
3.2×100
Operation: × ÷
3.04×107
3.2×107
Numbers: 4×105 3× × ×108
8× ×10-3

32. Q2. For each calculation circle the answer that is correct
and is in standard form.
(a)     (3 × 105) × (4 × 107)
          Answers
          × 1012      1.2 × 1036         12 × 1035            1.2 × 1013
(b)     (4 × 10–8) ÷ (8 × 10–2)
          Answer
          0.5 × 10–6     5 × 104            5 × 10–7              5 × 10–5
(Total 2 marks)