# Scientific Notation and Significant Figures

```Significant Figures
Name:_________________ Hr: __
Also known as “Sig Figs”, these are the values in measurements which indicate how precise a
measurement is.
1. All non-zero numbers are always significant
2. Zero IS significant if:
a.) it is sandwiched between nonzero digits, or
78.005 (5)
b.) it is the last digit in a number with a decimal, or
5.870
(4)
c.) it is the ending zero in a number that ends with a decimal
5600.
(4)
3. Zero is NOT significant if:
a.) it follows non-zero numbers without a decimal
634000 (3)
0.0024 (2)
Identify the number of significant figures in each of the following:
1. 56700
6. 6.0307
11. 409
16. 0.0004
2. 0.00045
7. 89004
12. 68,000
17. 506090
3. 68.000
8. 3.00060
13. 68,000.
18. 4.56700
4. 235.0060
9. 123.005
14. 0.000456
19. 4500.
5. 0.0050060
10. 40.0
15. 45708
20. 400
Round each of the numbers shown below to the number of significant figures
indicated in the parentheses. (5 or greater, round up)
21. 105.762 (4) _________________
28. 23,443 (2) _________________
22. 0.00717 (2) _________________
29. 234.9 (3) _________________
23. 0.5168 (3) _________________
30. 699.9 (3) _________________
24. 0.0502 (2) _________________
31. 345.566 (4) _________________
25. 27.155 (3) _________________
32. 56,678 (3) _________________
26. 2,005.02 (5) ________________
33. 304.00 (4) _________________
27. 450.679 (5) _________________
34. 567,457 (2) _________________
Scientific Notation: Base number must be between 1 and 10. Include only significant
figures. Use power of ten to correctly locate decimal.
Rewrite in scientific notation:
Rewrite as regular numbers:
1. 450000
16. 6.02 x l0 5
2. 450000.
17. 5.08 x l0 -5
3. 45.0000
18. 7.003 x l0 3
4. 600000000000000
19. 4.000 x 10
5. 604000.
20. 3.89 x 10
6. 56700000
21.
4.0 x 10
7. 50900
22.
2.9600000 x 10
8. 0.000000056
23. 6.05 x 10
9. 0.0000004500
24. 3.9800 x 10
-3
9
1
8
2
4
10. 8900000000
25. 9.9 x 10
11. 0.0004960
26. 8.07 x 10
12. 0.00000680
27. 9.9 x 10
13. 0.00000000000004000
28. 8.000 x 10
3
14. 600743000000000
29. 4.780 x 10
-8
15. 40000
30. 5.809 x 10
-5
3
12
7
```