Question

3. Solve the following math problems and write their answers with the correct number of significant figures. 1.23+45.6 11. 8.3-5 III. 3.4 x 2.32 IV. 78.5+0.0021 +0.0099 v. (2.31 x 10)/ (3.1 x 102) 1.23 x 3.456 VI.

Answer 1

For addition , subtraction , multiplication and division perform the mathematical operation in a normal way and then round the answer to the least number of significant figures in the question.
(16) 1.23+ 45.6 + 46.8) 2.) 8.3-5. 3 3-) 3.4x2.32 * 7.97 4) 78.5+0-0021 +0.0099 = 78.5) 5) 2.31X103 - 2-31x183 -2 = 0.745x10' 3.1 x 102 3.1 6 75] 6) -23 X 3.456 = 4.25

Rules for significant figures :- 1. All non-zero digits are significant. 2. If any zeroes occurs between two significant digits , it will be significant 3. A final zero or trailing zero in the decimal portion only are significant. Rule for significant digits during multiplication :- The least number of significant digits in any number of the problem determines the number of significant figures in the answer.