University:
Felician University
Course:
MATH-160 | College Algebra
Academic year:

2019
Views:

264

Pages:

13
Author:

Giselle A.

Operations with Significant Figures Rules for Adding and Subtracting Example: 4.73 +3.156 7.886 Even though we don’t include the third decimal place, we still need to take into account its value 7.89 Rule: After adding/subtracting, round off the answer to the least decimal places contained in the calculation Rules for Adding and Subtracting 101.98 Example: - 41.156 60.824 60.82 Rule: After adding/subtracting, round off the answer to the least decimal places contained in the calculation Practice Problems A) 5.63 0.024 + 1.6470 C) 2.33 0.00041 + 55.0009 B) 873.6 – 42.17= D) 78.000 - 40= Practice Problems A) 5.63 0.024 + 1.6470 7.30 C) 2.33 0.00041 + 55.0009 57.33 B) 873.6 – 42.17 = 831.4 D) 78.000 – 40 = 38 Rules for Multiplying and Dividing Example: 2.00 × 6.00000000 = 1.20 × 101 3 Sig Figs 9 Sig Figs 3 Sig Figs Rule: After multiplying/dividing round off the answer to the least number of significant figures contained in the calculation. Rules for Multiplying and Dividing Example: 6 Sig Figs 5 Sig Figs 12568700 = 27624 455.00 5 Sig Figs Rule: After multiplying/dividing round off the answer to the least number of significant figures contained in the calculation. Practice Problems A) 263.12 × 120= B) 3800/18.00= C) 48.603 × 8.91578= D) 3.261 x 10-5 × 1.789 = Practice Problems A) 263.12 × 120= 3.2× 104 B) 3800/18.00= 2.1 × 102 C) 48.603 × 8.91578= 433.33 D) 3.261 x 10-5 × 1.789 = 5.834 × 10-5 Combing Multiplication/Division with Addition/Subtraction Brackets ( ) Exponents 2 Division  Multiplication × Addition + Subtraction - Do these first, and follow rules Do these second, and follow rules Practice Problem #1 Using sig figs calculate: 3.458 - 2.00 × 1.8 3.458 – 3.6= -0.1 Practice Problem #2 Using Sig Figs Calculate for x: X = 25.0 × 0.1000 – 15.870 × 0.1036 Practice Problem #2 Using Sig Figs Calculate for x: X = 25.0 × 0.1000 – 15.870 × 0.1036 X = 2.50 - 1.644 X = 0.86