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Significant Figures Multiplication and Division Modern Chemistry, p. 47-48.

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Presentation on theme: "Significant Figures Multiplication and Division Modern Chemistry, p. 47-48."— Presentation transcript:

1 Significant Figures Multiplication and Division Modern Chemistry, p. 47-48

2 Combining Significant Values As in addition and subtraction, when significant measurements are combined the precision of each must be considered. However, in multiplication and division, the focus is on how many sig figs are in each measurement.

3 Multiplication and Division So, count the number of sig figs in each measurement. Your answer can only have as many as the value with the least number of sig figs (just like that chain with the weak link). In other words, go with the fewest sig figs!

4 Multiplication and Division 1)344.0 x 22.111 = How many sig figs in 344.0? How many sig figs in 22.111?

5 Multiplication and Division 1)344.0 x 22.111 = How many sig figs in 344.0?4 How many sig figs in 22.111?

6 Multiplication and Division 1)344.0 x 22.111 = How many sig figs in 344.0?4 How many sig figs in 22.111?5

7 Multiplication and Division 1)344.0 x 22.111 = How many sig figs in 344.0?4 How many sig figs in 22.111?5 Write the number of sig figs over each value.

8 Multiplication and Division 45 1)344.0 x 22.111 = Do the math!

9 Multiplication and Division 45 1)344.0 x 22.111 = 7606.184 We only want 4 sig figs in the answer. Count from the first sig fig back through the number and draw a line to trim it.

10 Multiplication and Division 45 1)344.0 x 22.111 = 7606.184 We only want 4 sig figs in the answer. Count from the first sig fig back through the number and draw a line to trim it. The answer is just 7606.

11 Multiplication and Division 2) 887.321 ÷ 54 = Count the sig figs in each, and write the value above the number.

12 Multiplication and Division 6 2 2) 887.321 ÷ 54 = Count the sig figs in each, and write the value above the number. And calculate…

13 Multiplication and Division 6 2 2) 887.321 ÷ 54 = 16.432 Trim…

14 Multiplication and Division 6 2 2) 887.321 ÷ 54 = 16.432 Trim… the answer is just 16.

15 Multiplication and Division 3)1645.54 x 0.1113 x 67.0 = Count sig figs, write above

16 Multiplication and Division 6 4 3 3)1645.54 x 0.1113 x 67.0 = Count sig figs, write above and calculate…

17 Multiplication and Division 6 4 3 3)1645.54 x 0.1113 x 67.0 = 12270.956 Count sig figs, write above and calculate, then trim…

18 Multiplication and Division 6 4 3 3)1645.54 x 0.1113 x 67.0 = 12270.956 Count sig figs, write above and calculate, then trim…

19 Multiplication and Division 6 4 3 3)1645.54 x 0.1113 x 67.0 = 12270.956 12270.956  123…

20 Multiplication and Division 6 4 3 3)1645.54 x 0.1113 x 67.0 = 12270.956 12270.956  123… 12300

21 Multiplication and Division 4) 22.091 ÷ (1.0 x 10 3 ) ÷ 0.999 =

22 Multiplication and Division 5 2 3 4) 22.091 ÷ (1.0 x 10 3 ) ÷ 0.999 =

23 Multiplication and Division 5 2 3 4)22.091 ÷ (1.0 x 10 3 ) ÷ 0.999 = 0.02211

24 Multiplication and Division 5 2 3 4)22.091 ÷ (1.0 x 10 3 ) ÷ 0.999 = 0.02211 0.022

25 Multiplication and Division 5) 743.001 ÷ 0.0562 ÷ 0.6577 =

26 Multiplication and Division 6 34 5) 743.001 ÷ 0.0562 ÷ 0.6577 =

27 Multiplication and Division 6 34 5) 743.001 ÷ 0.0562 ÷ 0.6577 = 20101.351

28 Multiplication and Division 6 34 5) 743.001 ÷ 0.0562 ÷ 0.6577 = 20101.351 20100

29 Multiplication and Division 6) 98.777 x 20.033 x 111 =

30 Multiplication and Division 5 5 3 6) 98.777 x 20.033 x 111 =

31 Multiplication and Division 5 5 3 6) 98.777 x 20.033 x 111 = 219,646.76

32 Multiplication and Division 5 5 3 6) 98.777 x 20.033 x 111 = 219,646.76 219,646.76

33 Multiplication and Division 5 5 3 6) 98.777 x 20.033 x 111 = 219,646.76 219,646.76 220…

34 Multiplication and Division 5 5 3 6) 98.777 x 20.033 x 111 = 219,646.76 219,646.76 220… 220,000 or2.20 x 10 5

35 Multiplication and Division 7) 55601 ÷ 348 ÷ 3.0 =

36 Multiplication and Division 5 3 2 7) 55601 ÷ 348 ÷ 3.0 =

37 Multiplication and Division 5 3 2 7) 55601 ÷ 348 ÷ 3.0 = 53.258 53.258

38 Multiplication and Division 5 3 2 7) 55601 ÷ 348 ÷ 3.0 = 53.258 53.258 53

39 Multiplication and Division 8) 4789.33 x 6871.00 x (2 x 10 2 ) =

40 Multiplication and Division 6 6 1 8) 4789.33 x 6871.00 x (2 x 10 2 ) =

41 Multiplication and Division 6 6 1 8) 4789.33 x 6871.00 x (2 x 10 2 ) = 6,581,497,286

42 Multiplication and Division 6 6 1 8) 4789.33 x 6871.00 x (2 x 10 2 ) = 6,581,497,286 7

43 Multiplication and Division 6 6 1 8) 4789.33 x 6871.00 x (2 x 10 2 ) = 6,581,497,286 7, 000,000,000 or 7 x 10 9

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