1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Applied Mathematic (Preliminary General 1) Significant Figures etc Stage 6 - Year 11

2 in the context of measurement. We use these prefixes to help with big numbers

3 in the context of measurement exaE petaP teraT 10 9 gigaG 10 6 megaM 10 3 kilok 10 2 hectoh 10dekada 1 followed by 18 zeros. 1 followed by 15 zeros. 1 followed by 12 zeros. 1 followed by 9 zeros. 1 followed by 6 zeros. 1 followed by 3 zeros. 1 followed by 2 zeros. 1 followed by 1 zero.

decid centic millim micro μ nanon picop femtof attoa in the context of measurement (17 zeros) 001

5 Red Team Blue Team kilo M teraexa T10 2 atto fpico10 15 decida giga  h 10 9 m P nanoc

6 Why use significant figures? The distance from the earth to the sun is km A more meaningful distance would be … km 3 significant figures is more meaningful.

7 A more meaningful length would be … m Why use significant figures? A stink bug is measured with a micrometer. as m 2 significant figures

8 non-zeroAll non-zero numbers are significant betweenzeros between non-zero digits are significant zeros at the end of a decimal are significant notall other zeros are not significant Practice

14 Why use scientific notation? The distance from the earth to the sun is km In scientific notation it would be … 2.41 x 10 8 km It’s easier with very large numbers.

15 In scientific notation it would be … 2.5 x m Why use significant figures? A stink bug is measured with a micrometer. as m It’s easier with very small numbers.

16 red arrow green arrow 2. How many places is it from the red arrow  to the green arrow  (where decimal point was)? (with direction) (Also known as Standard Notation) 1.Move the decimal point from where it is  Write in scientific notation. How? 3.54 x 10 ?  x 10 5  16  to the standard position.  (After the first non-zero number from the left.) 12345

17 B 3751 A C D 3.751x x x x10 2 A B C D

18 B A C D 9.1x x x x10 4 A B C D

19 B 904 A C D 9.04x x x x10 2 A B C D

20 Write in scientific notation. How? 20   red arrow green arrow 2. How many places is it from the red arrow  to the green arrow  (where decimal point was)? (with direction) 1.Move the decimal point from where it is  4.35 x 10 ? x to the standard position.  (After the first non-zero number from the left.)-2-3 AAmath

21 B A C D 147x x x x10 -2 A B C D

22 B A C D 98x x x x10 -5 A B C D

23 B A C D 3.4x x x x10 3 A B C D