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F a c t o r - L a b e l M e t h o d

F a c t o r - L a b e l M e t h o d. W h a t i s i t ?. F a c t o r - L a b e l. T h e m o s t i m p o r t a n t m a t h e m a t i c a l p r o c e s s i n c h e m i s t r y .

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F a c t o r - L a b e l M e t h o d

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  1. F a c t o r - L a b e l M e t h o d W h a t i s i t ?

  2. F a c t o r - L a b e l T h e m o s t i m p o r t a n t m a t h e m a t i c a l p r o c e s s i n c h e m i s t r y . T r e a t s n u m b e r s a n d u n i t s e q u a l l y . M u l t i p l y w h a t i s g i v e n b y f r a c t i o n s e q u a l t o o n e t o c o n v e r t u n i t s .

  3. F a c t o r - L a b e l A f r a c t i o n e q u a l t o o n e W h a t i s g i v e n

  4. F a c t o r - L a b e l C o n v e r t 1 0 0 0 g r a m s t o p o u n d s .

  5. F a c t o r - L a b e l C o n v e r t 1 0 0 0 g r a m s t o p o u n d s 1 p o u n d 1 0 0 0 g = 2 . 2 p o u n d s 4 5 4 g

  6. F a c t o r - L a b e l C o n v e r t 6 5 m i l e s / h o u r t o m e t e r s / s e c o n d .

  7. F a c t o r - L a b e l C o n v e r t 6 5 m i l e s / h o u r t o m e t e r s / s e c o n d h o u r s e c o n d 6 5 m i l e s h o u r m e t e r s m i l e s =

  8. F a c t o r - L a b e l H o w m a n y b a s k e t b a l l s c a n b e c a r r i e d b y 8 b u s e s ? 1 bus = 12 cars 3 cars = 1 truck 1000 basketballs = 1 truck

  9. F a c t o r - L a b e l H o w m a n y b a s k e t b a l l s c a n b e c a r r i e d b y 8 b u s e s ? 1 bus = 12 cars 3 cars = 1 truck 1000 basketballs = 1 truck 8 buses

  10. F a c t o r - L a b e l H o w m a n y b a s k e t b a l l s c a n b e c a r r i e d b y 8 b u s e s ? 1 bus = 12 cars 3 cars = 1 truck 1000 basketballs = 1 truck 12 cars 8 buses 1 bus

  11. F a c t o r - L a b e l H o w m a n y b a s k e t b a l l s c a n b e c a r r i e d b y 8 b u s e s ? 12 cars 1 truck 8 buses 3 cars 1 bus

  12. F a c t o r - L a b e l H o w m a n y b a s k e t b a l l s c a n b e c a r r i e d b y 8 b u s e s ? 1000 bballs 12 cars 1 truck 8 buses 1 truck 1 bus 3 cars

  13. F a c t o r - L a b e l 3 2 0 0 0 b a s k e t b a l l s c a n b e c a r r i e d b y 8 b u s e s .

  14. F a c t o r - L a b e l M e t h o d E n d

  15. T h eI n t e r n a t i o n a l S y s t e mo f M e a s u r e m e n t

  16. S I B a s e U n i t s M a s s -K i l o g r a m L e n g t h -M e t e r T i m e -S e c o n d T e m p e r a t u r e -K e l v i n A m o u n t o f s u b s t a n c e -M o l e E l e c t r i c c u r r e n t -A m p e r e L i g h t i n t e n s i t y -C a n d e l a

  17. D e r i v e d U n i t s C o m b i n a t i o n o f B a s e U n i t s A r e a = l e n g t h 2 V o l u m e = l e n g t h 3 D e n s i t y = m a s s / v o l u m e

  18. S I P r e f i x e s M e g a - 1 000 000 K i l o - 1 000 D e c i - 0 . 1 C e n t i - 0 . 01 M i l l i - 0 . 001 M i c r o - 0 . 000 001 N a n o - 0 . 000 000 001

  19. D i f f e r e n t V o l u m e U n i t s L i t e r = C u b i c D e c i m e t e r M i l l i l i t e r = C u b i c C e n t i m e t e r

  20. T h eI n t e r n a t i o n a l S y s t e mo f M e a s u r e m e n t E n d

  21. S i g n i f i c a n t D i g i t s

  22. S i g n i f i c a n t D i g i t s A s i g n i f i c a n t d i g i t i s o n e w h i c h i s a c t u a l l y m e a s u r e d . T h e n u m b e r o f s i g n i f i c a n t d i g i t s i n a m e a s u r e m e n t d e p e n d s o n t h e a b i l i t y o f t h e m e a s u r i n g d e v i c e .

  23. S i g n i f i c a n t D i g i t s W h e n a c a l c u l a t i o n i n v o l v e s n u m b e r s w i t h d i f f e r e n t s i g n i f i c a n t d i g i t s , t he a n s w e r c a n h a v e n o m o r e s i g n i f i c a n t d i g i t s t h a n t h e l e a s t u s e d i n t h e c a l c u l a t i o n .

  24. R u l e s t o d e t e r m i n e s i g n i f i c a n t d i g i t s 1. D i g i t s o t h e r t h a n z e r o a r e a l w a y s s i g n i f i c a n t . 2. F i n a l z e r o s a f t e r a d e c i m a l p o i n t a r e a l w a y s s i g n i f i c a n t . 3. Z e r o s b e t w e e n t w o o t h e r s i g n i f i c a n t d i g i t s a r e a l w a y s s i g n i f i c a n t . 4. Z e r o s u s e d o n l y t o s p a c e t h e d e c i m a l a r e n o t s i g n i f i c a n t .

  25. P r o p e r t i e s Q u a l i t a t i v e- A p r o p e r t y w i t h o u t m e a s u r e m e n t s . Q u a n t i t a t i v e- A p r o p e r t y i s d e s c r i b e d b y a n u m b e r o f s t a n d a r d u n i t s o f m e a s u r e m e n t .

  26. R e l i a b i l i t y A c c u r a c y- H o w c l o s e a m e a s u r e m e n t i s t o t h e t r u e v a l u e o f t h e q u a n t i t y . P r e c i s i o n- H o w c l o s e a s e t o f m e a s u r e m e n t s f o r a q u a n t i t y a r e t o o n e a n o t h e r , r e g a r d l e s s o f w h e t h e r t h e y a r e c o r r e c t .

  27. P e r c e n t E r r o r C o m p a r i s o n o f a n e x p e r i m e n t a l v a l u e t o a k n o w n v a l u e . e x p v a l u e - k n o w n v a l u e % e r r o r = k n o w n v a l u e

  28. S i g n i f i c a n t D i g i t s E n d

  29. S c i e n t i f i c N o t a t i o n MX 1 0 n

  30. S c i e n t i f i c N o t a t i o n U s e d t o r e p r e s e n t v e r y l a r g e o r v e r y s m a l l n u m b e r s . T h e r e a r e t w o p a r t s t o a n u m b e r e x p r e s s e d i n s c i e n t i f i c n o t a t i o n . T h e b a s i c f o r m i s : MX 1 0 n

  31. P a r t O n e : M h a s a s i n g l e d i g i t t o t h e l e f t o f t h e d e c i m a l w i t h d i g i t s t o t h e r i g h t o f t h e d e c i m a l r e p r e s e n t i n g a n y o t h e r s i g n i f i c a n t d i g i t s . MX 1 0 n

  32. P a r t T w o a : n i s a n i n t e g e r r e p r e s e n t i n g t h e n u m b e r o f p l a c e s t o m o v e t h e d e c i m a l p o i n t . MX 1 0 n continued

  33. P a r t T w o b : I f n i s p o s i t i v e m o v e t h e d e c i m a l p o i n t t o t h e r i g h t . T h e n u m b e r i s g r e a t e r t h a n o n e . MX 1 0 n continued

  34. I f n i s n e g a t i v e , m o v e t h e d e c i m a l p o i n t t o t h e l e f t . T h e n u m b e r i s l e s s t h a n o n e . MX 1 0 - n

  35. 6 0 0 0 0 0 0 0 0 . 0 0 0 0 0 5 1 2 5 0 0 0 6 X 10 7 5 X 10 -6 1 . 2 5 X 10 5 W r i t e t h e f o l l o w i n g i n s c i e n t i f i c n o t a t i o n :

  36. S c i e n t i f i c n o t a t i o n a n d y o u r c a l c u l a t o r : • E n t e r M • E E o r E X P • E n t e r n • I f n i s n e g a t i v e , c h a n g e s i g n MX 1 0 - n

  37. S c i e n t i f i c n o t a t i o n a n d y o u r c a l c u l a t o r : E n t e r t h i s n u m b e r i n y o u r c a l c u l a t o r : 6 . 0 2 X 1 0 2 3

  38. S c i e n t i f i c n o t a t i o n a n d y o u r c a l c u l a t o r : M u l t i p l y b y t h i s n u m b e r : 2 . 5 X 1 0 - 5

  39. T h e a n s w e r i s : 1 . 5 X 1 0 19

  40. S c i e n t i f i c N o t a t i o n E n d

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