Significant Figure Guidelines Use these rules to determine the significant figures in a number. The significant figures are underlined in each example. 1. Count all non-zero digits. 36 has 2 sig figs 2. ALWAYS count zeros that are sandwiched in between two non-zero digits. 306 has 3 sig figs 520.009 has 6 sig figs 3. ONLY count zeros to the right of non-zero digits IF there is a decimal point written in the number. 7700 has 2 sig figs 3.00 has 3 sig figs 50.300 has 5 sig figs 4. NEVER count zeros that are by themselves to the left of non-zero digits 0.008 has 1 sig fig 0.6703 has 4 sig figs Practice: Underline the significant figures in each number 10.05 0.1005 0.002030 23,000,000 6.250 9.067 0.04010 3.00 909 0.500 670,000. 0.800008 0.00881 34.802 2,700 0.0007 Addition or Subtraction When adding or subtracting numbers your answer can only have as many decimal places as the number with the least amount of decimal places. 1.22 +2.5_ 3.72 3.7 (only 1 decimal place allowed) 3.45556 -1.33____ 2.12556 2.13 (only 2 decimal places allowed) Practice: Give the following answers with the correct number of significant figures: 30.4 + 52.12 = ______ 8.21 + 10.365 = ______ 56.002 + 6.221 = ______ 45.2 + 555 = ________ 95.236 – 9.00 = _______ 62.5488 – 1.2 = _______ 5.0 – 2 = ______ 189.25698 – 6.322 = ________ Multiplication or Division When multipliyng or dividing numbers, the answer can only have as many significant figures as the number with the least amount of significant figures. 3.03 X 120 = 363.6 360 (only 2 sig figs allowed) 6.25 / 30 = 0.20833 0.2 (only 1 sig fig allowed) Practice: Give the answers with the correct number of significant figures 6.93 X 36 = _________ 540 X 5.0 = ________ 98.23 X 2.31 = ________ 82 X 56.35 = _________ 9.0 / 3 = ________ 45.3 / 9.1 = ________ 2.17 / 7.0 = ______ 54.8 / 16.00 = _______