Practice Chapter 1: Scientific notation and Significant figures 1.Change the following numbers from scientific notation to regular notation. a) 6.02 x 1023 _______________________ b) 3.0194 x 104 _______________________ c) 7.51 x 10-7 _______________________ d) 9.08 x 10-2 _______________________ e) 8.4307 x 109 _______________________ f) 1.005 x 106 _______________________ g) 2.76 x 10-15 _______________________ 2.Express the following numbers in scientific notation, making sure there is only one nonzero digit to the left of the decimal place. Do not discard any nonzero digits. a) 44000000000000 _______________________ b) 0.000360 _______________________ c) 0.09000080 _______________________ d) 22000 _______________________ e) 0.00000011 _______________________ f) 974.00 _______________________ g) 5125 _______________________ 3. For each of the following quantities, underline the zeroes that are significant figures. a) 140.0790 b) 0.02000030 4. Give the number of significant figures in the following numbers: a) 2.30x105 _______________________ b) 6.403x10-7 _______________________ c) 71200.0 _______________________ d) 40091.20 _______________________ e) 330.00 _______________________ f) 0.0005 _______________________ g) 96388 _______________________ 5. Perform the following operations and give the answers with the correct number of significant figures and include units on your answers. a) 33.75g - 1.8g = _______________________ b) 3.8mL + 0.775mL = _______________________ c) d) !".!" ! !!.!!" !.!" ! !.!" !" = _______________________ = _______________________ e) (34.5g) × (4.18 J/g ∙oC) × (9.7oC) = _______________________ 6. Round off the following numbers using four significant figures in your answer. Use scientific notation if needed. a) 10773 _______________________ b) 10779 _______________________ c) 10899 _______________________ 7. a) b) Perform the following operations using your calculator and put your answer in correct scientific notation with the correct number of significant figures. !.!"# !.!!" ×( 6.02 x 1023) = !.! ! !"! !.! ! !"!! = _______________________ _______________________ c) (5.01 x 103) × (7.00 x 10-8) = _______________________ d) (!".!!!".!!") !.!!"#$" = _______________________
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