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Introduction to Standard Form

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by

Mr Mattock

on 17 January 2016

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Transcript of Introduction to Standard Form

0 0 0 3 2
10 10 10 10 10 10 10 10 10 10 10
Introduction to Standard Form
Starter
Write these numbers as a power of 10:

(a) 100

(b) 1000

(c) 10000

(d) 1000000

(e) 0.1

(f) 0.0001
Standard form
Main Activity
Complete the introduction to standard index form worksheet.
L.O. - To understand how numbers are written
using standard form (Grade 5)

Starter
Write these numbers as a power of 10:

(a) 100
= 10

(b) 1000
= 10

(c) 10000
= 10

(d) 1000000
= 10

(e) 0.1
= 10

(f) 0.0001
= 10
2
3
4
6
-1
-4
6 5 4 3 2 1 0 -1 -2 -3 -4
1 0 0 0 0
= 1 x 10
4
3 0 0 0 0
3 0 0 0 0 0
0 0 0 3
1 5 0 0
10 10 10 10 10 10 10 10 10 10 10
Standard form
6 5 4 3 2 1 0 -1 -2 -3 -4
1 0 0 0 0
= 1 x 10
4
3 0 0 0 0
3 0 0 0 0 0
0 0 0 3
1 5 0 0
= 3 x 10
= 3 x 10
= 3 x 10
= 1.5 x 10
4
5
-3
3
10 10 10 10 10 10 10 10 10 10 10
Standard form
6 5 4 3 2 1 0 -1 -2 -3 -4
1 0 0 0 0
= 1 x 10
4
6 7 0 0 0
6 9 4 0 0 0
0 0 1 0 2
0 0 0 3 2
10 10 10 10 10 10 10 10 10 10 10
Standard form
6 5 4 3 2 1 0 -1 -2 -3 -4
1 0 0 0 0
= 1 x 10
4
6 7 0 0 0
6 9 4 0 0 0
0 0 1 0 2
= 6.7 x 10
= 6.94 x 10
=3.2 x 10
= 1.02 x 10
4
6
-3
-2
Main Activity
(1) 5.6 x 10 (2) 7 x 10 (3) 2.3 x 10 (4) 6.72 x 10 (5) 3.4 x 10
(6) 1.9 x 10 (7) 4.5 x 10 (8) 7.3 x 10 (9) 5.27 x 10 (10) 7.12 x 10
(11) 5.05 x 10 (12) 6.5 x 10
2
-1
1
3
-3
1
3
5
-3
6
-3
-6
(1) 1.2 x 10 (2) 1.9 x 10 (3) 7.82 x 10 (4) 4.26 x 10 (5) 6.7 x 10
(6) 5.4 x 10 (7) 2.07 x 10 (8) 7.6 x 10 (9) 2.04 x 10 (10) 8.1 x 10
(11) 3 x 10 (12) 4 x 10
3
6
-6
-4
-4
-3
0
7
-1
-4
-1
-5
1) 4 x 10 , 0.076, 6 x 10 , 67000, 9.2 x 10
2) 0.09, 2 x 10 , 3.1 x 10 , 47.6, 203
3) 9 x 10 , 5.7 x 10 , 45000, 4 x 10 , 2 x 10
4) 8 x 10 , 6.4 x 10 , 0.004, 3 x 10 , 0.9
5) 8 x 10 , 5 x 10 , 5.4 x 10 , 0.09, 0.5
6) 4.6 x 10 , 5.6 x 10 , 58.9, 1.2 x 10 , 420
-3
3
4
-1
1
-8
-6
5
7
-4
-3
-2
-4
-3
-2
-1
1
2
Main Activity
Dice of Ultimate Power

1) Give a key word for the lesson.
2) Summarise one key point for the
lesson.
3) Explain one thing you have learned this
lesson.
4) State one thing you still don't understand following this lesson.
5) Suggest one thing you would like to find out
based on this lesson.
6) Free choice from 1 to 5, or another you make
up.
Key
Examples

Activities
Activity
Answers

Worked
Example

Worked
Example

Standard Form
A number is in in standard (index)
form if it is written in the form

a x 10

where 1 < a < 10
.............. x 10
.....
A - C -

B - D -
Full transcript