2. 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

3. 2 in the context of measurement. We use these prefixes to help with big numbers

4. 3 in the context of measurement. 10 18 exaE 10 15 petaP 10 12 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.

5. 4 10 - 1 decid 10 - 2 centic 10 - 3 millim 10 - 6 micro μ 10 - 9 nanon 10 - 12 picop 10 - 15 femtof 10 - 18 attoa in the context of measurement. 0.1 0.01 0.001 0.000 001 0.000 000 001 0.000 000 000 001 0.000 000 000 000 001 0.000 (17 zeros) 001

6. 5 Red Team Blue Team 123456789101112131415161718192021222324 1234 1 2 3 4 5 6 1234567891011121314151617 18192021222324 10 1 kilo10 -3 10 -1 10 -15 M teraexa10 -12 T10 2 atto fpico10 15 decida1 10 -18 giga  h 10 9 m10 -2 10 0 P10 -9 10 18 10 3 nanoc10 6 10 -6 56

7. 6 Why use significant figures? The distance from the earth to the sun is 240 757 786 km A more meaningful distance would be … 241 000 000 km 3 significant figures is more meaningful.

8. 7 A more meaningful length would be … 0.025 m Why use significant figures? A stink bug is measured with a micrometer. as 0.025132 m 2 significant figures

9. 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. 2971 32.5 7.456 3071 60.5 8.009 297.10 32.00 9.000 0900 0254 0.456 Practice

10. 9 12345 2.340

11. 10 12345 0.040

12. 11 12345 2340

13. 12 12345 120.34

14. 13 12345 2020

15. 14 Why use scientific notation? The distance from the earth to the sun is 241 000 000 km In scientific notation it would be … 2.41 x 10 8 km It’s easier with very large numbers.

16. 15 In scientific notation it would be … 2.5 x 10 -2 m Why use significant figures? A stink bug is measured with a micrometer. as 0.025 m It’s easier with very small numbers.

17. 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 354 000 in scientific notation. How? 3.54 x 10 ?  +5 10 5 3.54 x 10 5  16  to the standard position.  (After the first non-zero number from the left.) 12345

18. 17 B 3751 A C D 3.751x10 3 3751x10 3 3751x10 1 3.751x10 2 A B C D

19. 18 B 91000 A C D 9.1x10 3 9.1x10 4 91x10 3 91x10 4 A B C D

20. 19 B 904 A C D 9.04x10 0 90.4x10 1 9.04x10 2 904x10 2 A B C D

21. 20 Write 0.004 35 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 ? -3 10 -3 4.35 x 10 -3 to the standard position.  (After the first non-zero number from the left.)-2-3 AAmath

22. 21 B 0.147 A C D 147x10 -3 1.47x10 -3 1.47x10 -1 14.7x10 -2 A B C D

23. 22 B 0.000098 A C D 98x10 0 9.8x10 1 98x10 -6 9.8x10 -5 A B C D

24. 23 B 0.0034 A C D 3.4x10 -4 3.4x10 -3 34x10 -3 34x10 3 A B C D