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Grade 7 - Mathematics1.27 Addition and Subtraction of Two Numbers in Scientific Notation

 Addition and Subtraction of Two Numbers in Scientific Notation: To add or subtract two numbers in scientific notation, they must both have the same exponent. So you may have to re-write one of the numbers to have the same exponent as the other. Example 1: 1.0 x 103 + 6 x 102 Solution: Rewrite 6 x 102 so that the exponent is 3. 1.0 x 103 + 6 x 102 = 1.0 x 103 + 0.6 x 103 = 1.6 x 103 We can check this by converting the numbers first to the more familiar form. 1.0 x 103 =1000 6 x 102=600 1.0 x 103 + 6 x 102=1000 + 600 = 1600 Converting 1600 to scientific form= 1.6 x 103 Example 2: 1.0 x 103 + 6 x 102 Solution: Rewrite 6 x 102 so that the exponent is 3. 1.0 x 103 - 6 x 102 = 1.0 x 103 - 0.6 x 103 = 0.4 x 103 Directions: Solve the following problems. Also write atleast 5 examples of your own.
 Q 1: 1.2 x 103 + 3 x 1021.5 x 1051.5 x 1031.5 x 102 Q 2: 9.8 x 109 - 5.2 x 1094.6 x 1086.4 x 1094.6 x 109 Q 3: 3.3 x 103 - 1.1 x 103 2.2 x 1032.2 x 1024.4 x 104 Q 4: 6.8 x 107 - 2.2 x 1074.6 x 1074.8 x 1074.6 x 1014 Q 5: 1.1 x 103 + 3.3 x 1034.4 x 1034.4 x 1041.1 x 104 Q 6: 2.0 x 102 + 3.0 x 1033.2 x 1033.2 x 1023.2 x 104 Q 7: 3.8 x 104 + 5.2 x 1045.9 x 1049.0 x 1049.0 x 103 Q 8: 1.2 x 103 + 3.3 x 1034.5 x 1034.5 x 1024.5 x 106 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!