1. CONVERTING NUMBERS TO STANDARD FORM

2. Introduction
Standard Form (Standard Index Form) For VERY BIG or VERY SMALL numbers. e.g. 62,000,000,000 becomes 6.2 x becomes 5.28 x 10-8

3. A x 10n Standard Index Form
Multiplying by 10 “moves” the Decimal Point, n is the number of moves (+ or -) ....
Integer between
1 and 9

4. Powers of 10 are Positive or Negative
Standard Form uses both Multiplication and Division by 10 by using powers.
Division by 10 is the same as Multiplying by Division by 100 (10 x 10) is the same as Multiplying by and so on
0.034 x 102 = x 10-2 = 0.034

5. Warm-Up - Rewrite As Normal Decimals
46.34 x =
46.34 x =
37 x =
37 x =

6. Answers
46.34 x 102 = 4,634
46.34 x 10-2 =
37 x = 3,700,000
37 x =

7. Standard Form Questions
Standard Form: A x 10n
Put the following numbers into Standard Form ) ) )

8. Answers To Standard Form
Standard Form: A x 10n
Put the following numbers into Standard Form )
4.733 x x 10-7 )
7.65 x x 103 )
x x 10-13

9. SUMMARY
Standard Form or Standard Index Form is a way of handling VERY BIG or SMALL numbers
A x 10n A is an integer between 1 and 9, n is a positive or negative power of 10
If you study Science at higher levels you will see a lot of Standard Form numbers