Sig Figs Contents Rules for how many How

Sig Figs Contents: • Rules for how many • How many examples • Rules for addition and subtraction • Whiteboards for addition and subtraction • Rule for multiplication and division • Examples of multiplication and division

How many sig figs are there? 1. The leftmost nonzero digit is the most significant digit 2. If there is no decimal point, the rightmost nonzero digit is the least significant digit 3. If there is a decimal point, the rightmost digit is the least significant digit even if it is a zero. 4. All digits between the least and most are also significant.

Examples 3010. 00 20 20. 0 30. 010 4 3. 200 x 10 3, 6, 1, 2, 3, 5, 4

Examples 100 2 1. 0 x 10 100. . 012. 000150 37 people in a class 50, 000 at a rally 1, 2, 3, n/a, ? ?

How Many Sig Figs?

How many sig figs in 1250 ? 3

How many sig figs in 300 ? 1

How many sig figs in 300. ? 3

How many sig figs in 3. 0 x ? 2 2 10

How many sig figs in 2. 10 ? 3

How many sig figs in 31. 00150 ? 7

How many sig figs in . 0232 ? 3

How many sig figs in . 00150 ? 3

How many sig figs in 8. 900 x ? 4 5 10

Rule for multiplication and division Round final answer to least number of sig figs of the operands: 123. 50 x 21 2593. 5 round to 2 places: 2600 Never round until totally done. TOC

Whiteboards x and / answer rounding TOC

Express the answer with the correct number of sig figs: 1329. 0 x 25 = ? = 33, 225 -> 33, 000 33, 225 > 33, 000 W

Express the answer with the correct number of sig figs: 102. 085 / 323 = ? = 0. 316052632 ->. 316 0. 316052632 >. 316 W

Express the answer with the correct number of sig figs: 8. 015 / 570 = ? = 0. 014061404 ->. 014 0. 014061404 >. 014 W

Rule for addition and subtraction Round final answer to least common place: 123. 5497 +21. 1 144. 6497 -> 144. 6 as an expressed answer Again, never round until totally done. <IB apparently does not require this rule> TOC

Whiteboards + and - answer rounding TOC

Express the answer with the correct number of sig figs: 1. 058 + 15. 1 = ? = 16. 158 -> 16. 2 16. 158 = 16. 2 W

Express the answer with the correct number of sig figs: 98 + 12 = ? = 110 -> 110. W

Express the answer with the correct number of sig figs: 27. 52 - 3 = ? 24. 52 -> 25 24. 52 > 25 W

Express the answer with the correct number of sig figs: 100 + 16 = ? = 116 - > 100 Quit your whining - use 116 W