Indicate the number of significant figures in the following numbers:
- 976 ______
- 976 000 ______
- 96.7 ______
- 9.67 ______
- 0.00967 ______
- 9.6700 ______
- 9.067 ______
- 30.4 ______
- 2700 ______
- 5.10 ______
- 0.023 ______
- 7.0200 ______
- 0.04010 ______
- 54.000 ______
- 34.802 ______
- 0.0000565 ______
- 4.530 ______
- 222 ______
- 70 164 ______
- 3.00 ______
- 2.700 ______
- 304 ______
- 51.0 ______
- 9 ______
- 90 ______
- 900.0 ______
- 0.009 ______
- 0.90 ______
- 0.090 ______
- 909 ______
- 0.00881 ______
- 0.4900 ______
- 0.0224 ______
- 0.006007 ______
- 0.00005 ______
- 0.500 ______
- 0.050 ______
- 5000 ______
- 0.005670 ______
- 0.1110 ______
- 0.0076009 ______
- 670 000 ______
- 670 004 ______
- 45.908 ______
- 0.00872 ______
- 54 000 ______
- 0.000008 ______
- 0.800008 ______
- 453.9780 ______
- 500 000 000 ______
- 24 091 800 ______
- 780 ______
- 708 ______
- 780.0 ______
- 780.000 ______
- 780.00 ______
- 78 000 ______
- 500 ______
- 0.005 ______
- 16 ______
How to +, - , x , with significant figures:
- When adding or subtracting numbers, look at the number of significant digitsafter the decimal in each number to determine how many sig figs you can keep in your answer. You can only keep as many as the least amount of sig figs found in the numbers you are adding or subtracting. Observe:
506.79 (2 sig figs)
32.9006 (4 sig figs) Answer: 539.7
+ 0.002 (1 sig fig)
539.6926
- When multiplying or dividing numbers, look at the total number of significant digits in each number to determine how many sig figs you can keep in your answer. You can only keep as many as the least amount of sig figs found in the numbers you are multiplying or dividing. Observe:
34.500 (5 sig figs)
170 (2 sig figs) Answer: 17 000
x 2.98 (3 sig figs)
17 477.7
Exercises: Solve the following problems on your own paper. Write all of the starting information, show all your work, and box your answers.
- 34.92 + .0074 + 503.0
- 4.200 x .0078
- 13.89 6.8
- 5700 14.009
- 13.70 - 3.70
- 25.25 5
- 14 000 - 390.55
- 89.09 x 23
- 7.6 + 402.91
- 0.00881 + 45.908
- 7. 200 x 3.56
- 222 2
- 2.700 - 0.76
- 9.600 x 2.5
- 87.6 + 4.87 + .0041
- 70.164 x 3.33
- 546.00 60.667
- 5 x 5