Scientific Notation Operations
World of scientific notation through multiplication, division, and comparison of celestial objects like Jupiter and Mercury. Learn to simplify expressions, utilize associative properties, and calculate the mass differences between planets. Get familiar with expressing results in scientific notation and enhancing your numerical skills.
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Presentation Transcript
Compute with numbers written in scientific notation. FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Multiplication and Division with Scientific Notation Evaluate (1.1 10 3)(2.5 109). Express the result in scientific notation. (1.1 10 3)(2.5 109) = (1.1 2.5 )(10 3 109)Commutative and Associative Properties = (2.75)(10 3 109) Multiply 1.1 by 2.5. = 2.75 10 3 + 9 Product of Powers = 2.75 106 Add the exponents. Answer: 2.75 106 FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Evaluate (3.2 104)(1.9 108). Express the result in scientific notation. A. 6.08 104 B. 5.1 10 4 C. 6.08 10 4 D. 6.08 10 32 FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Multiplication and Division with Scientific Notation Evaluate . Express the result in scientific notation. Associative Property Divide 7.75 by 2.5. = 3.1 106 ( 2) Quotient of Powers = 3.1 108 Subtract the exponents. Answer: 3.1 108 FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Evaluate . Express the result in scientific notation. A. 3.5 10 10 B. 3.5 10 4 C. 3.5 104 D. 3.5 1010 FL-Nav_Home FL-Nav_Back FL-Nav_Forward
PLANETS The largest planet in our solar system is Jupiter with a diameter of about 1.43 105 kilometers. The smallest planet in our solar system is Mercury with a diameter of about 4.9 103 kilometers. About how many times greater is the diameter of Jupiter than the diameter of Mercury? FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Associative Property 0.29 102 Simplify. 2.9 101 Write 0.29 102 in scientific notation. Answer: The diameter of Jupiter is about 2.9 101 or 29 times greater than the diameter of Mercury. FL-Nav_Home FL-Nav_Back FL-Nav_Forward
ASTRONOMY The mass of Jupiter is about 1.90 1027 kilometers. The mass of Pluto is about 1.29 1022 kilometers. About how many times greater is the mass of Jupiter than the mass of Pluto? A. 1.47 101times greater B. 1.47 105times greater C. 6.1 104times greater D. 6.1 105times greater FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Addition and Subtraction with Scientific Notation Evaluate (2.85 107) + (1.61 109). Express the result in scientific notation. (2.85 107) + (1.61 109) = (2.85 107) + (161 107) Write 1.61 109 as 161 107. = (2.85 + 161) 107 Distributive Property = 163.85 107 Add 0.0285 and 1.61. = 1.6385 109 Write 163.85 107 in scientific notation. Answer: 1.6385 109 FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Evaluate (3.78 105) + (5.12 106). Express the result in scientific notation. A. 8.9 1011 B. 5.498 105 C. 54.98 105 D. 5.498 106 FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Addition and Subtraction with Scientific Notation Evaluate (8.23 106) (6.91 105). Express the result in scientific notation. (8.23 106) (6.91 105) = (82.3 105) (6.91 105) Write 8.23 106 as 82.3 105. = (82.3 6.91) 105 Distributive Property = 75.39 105 Subtract 6.91 from 82.3. = 7.539 106 Write 75.39 105 in scientific notation. Answer: 7.539 106 FL-Nav_Home FL-Nav_Back FL-Nav_Forward
Evaluate (7.54 105) (1.22 103). Express the result in scientific notation. A. 6.32 102 B. 7.5278 104 C. 7.5278 105 D. 75.278 104 FL-Nav_Home FL-Nav_Back FL-Nav_Forward
