CONVERTING NUMBERS TO STANDARD FORM

Introduction Standard Form (Standard Index Form) For VERY BIG or VERY SMALL numbers. e.g. 62,000,000,000 becomes 6.2 x 1010 0.0000000528 becomes 5.28 x 10-8

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

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 10-1 . Division by 100 (10 x 10) is the same as Multiplying by 10-2 ..... and so on 0.034 x 102 = 3.4 3.4 x 10-2 = 0.034

Warm-Up - Rewrite As Normal Decimals 46.34 x 102 = 46.34 x 10-2 = 37 x 105 = 37 x 10-5 =

Answers 46.34 x 102 = 4,634 46.34 x 10-2 = 0.4634 37 x 105 = 3,700,000 37 x 10-5 = 0.00037

Standard Form Questions Standard Form: A x 10n Put the following numbers into Standard Form 4733 4) 0.00000081 0.00765 5) 7277.66 932222 6) 0.000 000 000 0004

Answers To Standard Form Standard Form: A x 10n Put the following numbers into Standard Form 4733 4) 0.00000081 4.733 x 103 8.1 x 10-7 0.00765 5) 7277.66 7.65 x 10-3 7.27766 x 103 932222 6) 0.000 000 000 0004 9.32222 x 105 4 x 10-13

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