Rules for recognizing sig figs



Name _______________________ Per ___

Rules for recognizing sig figs

1. non-zero #s count

2. zeros sandwiched in between count

3. zeros at the end

*after (to right of) decimal count

*before decimal (left of) must be

designated with:

- a bar over the zero

- or, a decimal after the zero

- or, by scientific notation

4. zeros in front do not count

5. counted numbers and defined constants

have an infinite # of sig figs

Addition and Subtraction Sig Fig Rules

1. line up the decimals

2. draw a line to the right of the number with

the least precision (shortest column)

3. answer can’t go past the line

4. use the 1st digit past the line to determine

where to round off

Multiplying and Dividing Sig Fig Rule

Answer can have no more digits (sig figs) than

the measured factor with the

fewest number of digits.

127.3 x 42 = 5,346.6

2 digits ( answer must be 2 sig figs

5,300

Name _______________________ Per ___

Rules for recognizing sig figs

1. non-zero #s count

2. zeros sandwiched in between count

3. zeros at the end

*after (to right of) decimal count

*before decimal (left of) must be

designated with:

- a bar over the zero

- or, a decimal after the zero

- or, by scientific notation

4. zeros in front do not count

5. counted numbers and defined constants

have an infinite # of sig figs

Addition and Subtraction Sig Fig Rules

1. line up the decimals

2. draw a line to the right of the number with

the least precision (shortest column)

3. answer can’t go past the line

4. use the 1st digit past the line to determine

where to round off

Multiplying and Dividing Sig Fig Rule

Answer can have no more digits (sig figs) than

the measured factor with the

fewest number of digits.

127.3 x 42 = 5,346.6

2 digits ( answer must be 2 sig figs

5,300

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Practice Determining which Zeros are Significant

Tell how many sig figs in each number.

1. 967 ______ 11. 2,700 _____

2. 967,000 _____ 12. 304 _____

3. 96.7 _____ 13. 47.0 _____

4. 9.67 _____ 14. 90 _____

5. 0.00967 _____ 15. 900.0 _____

6. 9.6700 _____ 16. 0.90 _____

7. 300.4 _____ 17. 909 _____

8. 2,700 _____ 18. 0.08009 _____

9. 7.0200 _____ 19. 0.050 _____

10. 54.000 _____ 20. 5000 _____

21) 2001.46 + 4.023 + 3.2 =

22) 549.607 - 4.32 =

23) 1,489.2 + 5.0092 + 4.68 =

24) 16.5 x 4.9320 =

25) 4.234 x 0.024 =

26) (5.32 x 107) x (1.434 x 103) =

27) 27,000 ÷ 3.456 =

28) 4.75 x 105 =

2.25 x 102

29) 3.35 x 0.5657 x 23 =

30) 1500 x 5205.5 =

| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

21) 2001.46 + 4.023 + 3.2 =

22) 549.607 - 4.32 =

23) 1,489.2 + 5.0092 + 4.68 =

| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

24) 16.5 x 4.9320 =

25) 4.234 x 0.024 =

26) (5.32 x 107) x (1.434 x 103) =

27) 27,000 ÷ 3.456 =

28) 4.75 x 105 =

2.25 x 102

29) 3.35 x 0.5657 x 23 =

30) 1500 x 5205.5 =

Practice Determining which Zeros are Significant

Tell how many sig figs in each number.

1. 967 ______ 11. 2,700 _____

2. 967,000 _____ 12. 304 _____

3. 96.7 _____ 13. 47.0 _____

4. 9.67 _____ 14. 90 _____

5. 0.00967 _____ 15. 900.0 _____

6. 9.6700 _____ 16. 0.90 _____

7. 300.4 _____ 17. 909 _____

8. 2,700 _____ 18. 0.08009 _____

9. 7.0200 _____ 19. 0.050 _____

10. 54.000 _____ 20. 5000 _____

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