1) Which of the following numbers is written in scientific notation? a) 17 x 102 b) 17 c) 9.69 d) 9.69 x 102 2) Simone evaluates an expression using her calculator. The calculator display is shown in the image. Express the number in standard form. a) 230,000,000,000 b) 2,300,000,000 c) 0.000000000023 d) 0.0000000023 3) Express this number in scientific notation: 0.00049 a) .49 x 10-3 b) 4.9 x 10-4 c) 4.9 x 104 d) 4.9 x 105 4) Express this number in scientific notation: 60,000 a) 6 x 10-4 b) 6 x 103 c) 6 x 104 d) 6 x 10-3 5) Peter evaluates an expression using his calculator. The calculator display is shown in the image. Express the number in standard form. a) 76,400,000,000,000,000 b) 0.000000000000000000764 c) 0.0000000000000764 d) 7,640,000,000,000,000,000 6) To write 9.648 x 10-5 in standard form, what should you do first? a) Move the decimal point 4 places to the right. b) Move the decimal point 5 places to the right. c) Move the decimal point 4 places to the left. d) Move the decimal point 5 places to the left. 7) Write 3.83 x 10-2 in standard form. a) 0.0383 b) 0.00383 c) 383 d) 3830 8) The length of a bacterial cell is 2.3 x 10-6 m. Express the length of the cell in standard form. a) 2,300,000 b) 230,000 c) 0.000023 d) 0.0000023 9) Express the distance 350,000 meters using scientific notation in meters. a) 3.5 x 105 b) 35 x 104 c) 3.5 x 10-5 d) 3.5 x 10-4 10) Which of the following numbers is written in scientific notation? a) 18 x 103 b) 18 c) 8.79 x 102 d) 8.79 11) Jeana's calculator display shows the number in the image. Express this number in standard form. a) 0.00000000000455 b) 455,000,000,000,000 c) 4,550,000,000,000 d) 0.0000000000455 12) Is 25 x 10-4 in scientific notation? If not, explain. a) The number is in scientific notation. b) No, it is not in scientific notation. The second factor is not a power of 10. c) No, it is not in scientific notation. The number is not written as a product of two factors. d) No, it is not scientific notation. The first factor is not less than 10. 13) Select the numbers that are equivalent to each other. a) 5.812 x 10-7 and 58,120,000 b) 4.836 x 106 and 4,836,000 c) 3.129 x 10-2 and 0.3129 d) 5.46 x 1011 and 546,000,000 14) Express this number in standard form: 9.4592 x 10-3 a) 0.0094592 b) 0.94592 c) 0.00094592 15) Express this number in standard form: 9.4592 x 10-1 a) 0.0094592 b) 0.94592 c) 0.00094592 16) Express this number in standard form: 9.4592 x 10-4 a) 0.0094592 b) 0.94592 c) 0.00094592 17) How would you express this number shown in standard form? 7.4745 x 1010 a) 0.00000000074745 b) 7,474,500,000,000,000 c) 74,745,000,000 d) 0.0000000000074745 18) Levi needs to write 263,000,700,000 in scientific notation. What is the sign of the exponent? a) The exponent will be negative because the number Levi needs to write in scientific notation is less than one. b) The exponent will be negative because the number Levi needs to write in scientific notation is greater than one. c) The exponent will be positive because the number Levi needs to write in scientific notation is greater than one. d) The exponent will be positive because the number Levi needs to write in scientific notation is less than one. 19) Express this number in standard form: 7.901 x 1012 a) 7,901,000,000,000 b) 0.000000000007901 c) 7,901,000,000 d) 7,901 20) You want to express the number 437,000 in scientific notation. What is the first step? a) Move the decimal point 4 places to the right to get 4.37. b) Move the decimal point 5 places to the right to get 4.37. c) Move the decimal point 5 places to the left to get 4.37. d) Move the decimal point 4 places to the left to get 4.37. 21) Which of the following numbers is written in scientific notation? a) 23 x 10-6 b) 6.45 c) 23 d) 6.45 x 10-6 22) Which of the following numbers is written in scientific notation? a) 1.75 x 106 b) 20 c) 20 x 106 d) 1.31 23) Your calculator display shows "5.3 E -9". Express this number in standard form. a) 5,300,000,000 b) 53,000,000,000 c) 0.0000000053 d) 0.00000000053 24) Express this number in scientific notation: 621,000 a) 62.1 x 104 b) 6.21 x 105 c) 6.21 x 10-5 d) 6,210 25) Express this number in scientific notation: 0.00000001073 a) 10.73 x 10-9 b) 10.73 x 109 c) 1.073 x 10-8 d) 1.073 x 108 26) Express the number in standard form: 5.2 x 106 a) 0.0000052 b) 5,200,000 c) 5,200 d) 0.00052 27) Express this number in standard form: 8.5 x 105 a) 850,000 b) 8,500,000 c) 85,000,000 d) 0.00085 28) Write 3.91 x 10-2 in standard form. a) 391 b) 0.391 c) 0.0391 d) 39.1 29) Express the number 0.00000005864 in scientific notation. a) 5.864 x 108 b) 5.864 x 10-8 c) 58.64 x 109 d) 58.64 x 10-9 30) Express the mass in kilograms using scientific notation: 6,200,000 kilograms. a) 6.2 x 10-6 b) 62 x 105 c) 62 x 10-5 d) 6.2 x 106 31) Which of the following numbers is written in scientific notation? a) 1.8 x 109 b) 18.0 x 107 c) 34.2 x 10-9 d) 19.9 x 1014 32) After evaluating an expression, your calculator display shows the result "4.5 E -11". Express the number in scientific notation. a) 4.5 x 1011 b) 4.5 x 10-11 c) 45,000,000,000 d) 0.000000000045 33) In scientific notation, the first number must be between what two numbers? a) 10-100 b) 1-10 c) 10-20 d) 0-10 34) If the exponent is positive in scientific notation, will the number be large or small or standard form? a) Large b) Small 35) If the exponent is negative in scientific notation, will the number be large or small or standard form? a) Large b) Small 36) Raul is aboard a cruise ship that weighs approximately 4.4 x 107 pounds, while Veronica is aboard a cruise ship that weighs approximately 40,000,000 pounds. Whose cruise ship weighs more? a) Raul b) Veronica 37) Gabi is converting 0.00098 into scientific notation. What number correctly represents the power of 10 that she will need? a) 4 b) -4 c) 5 d) -5 38) Convert 3.4 x 106 to standard form. a) 3,400,000 b) 34,000 c) 340,000 d) 0.34 39) Convert 0.00005678 to scientific notation. a) 0.005678 x 10-2 b) 5.678 x 10-4 c) 5.678 x 10-5 d) 56.78 x 10-6 40) Convert 900,000 to scientific notation. a) 900 x 103 b) 90 x 104 c) 0.9 x 106 d) 9 x 105 41) Find the product of the solution: (4.3 x 103)(2 x 10-2) in scientific notation? a) 8.6 x 10-5 b) 8.6 x 10-4 c) 8.6 x 105 d) 8.6 x 104 42) Find the product of the solution: (3.5 x 104)(2 x 103) in standard form? a) 70,000 b) 70,000,000 c) 700 d) 700,000 43) Find the quotient of the solution: (4 x 1010) ÷ (8 x 103)? a) 0.5 x 107 b) 5 x 106 c) 5 x 108 d) 0.5 x 106 44) Find the quotient of the problem: (7.25 x 10-9) ÷ (5 x 109)? a) 1.45 x 10-18 b) 3.625 x 101 c) 1.45 x 1018 d) 36.25 x 1018 45) Find the product of the problem: (0.9 x 104)(1.14 x 107)? a) 10.26 x 1010 b) 1.026 x 1011 c) 1.026 x 10-11 d) 1.026 x 10-3 46) Find the quotient of the problem: (6.25 x 106) ÷ (12.5 x 10-8)? a) 50 x 1012 b) 5 x 10-14 c) 5 x 1013 d) 5 x 1014 47) Find the quotient of the problem: (4.2 x 104) ÷ (3.5 x 10-4)? a) 1.2 x 108 b) 12 x 107 c) 1.2 x 10-8 d) 1.2 x 10-7 48) Find the quotient of the problem: (7.1 x 106) ÷ (8.2 x 105)? a) 8.658 x 100 b) 8.658 x 101 c) 8.6 x 101 d) 8 49) Find the product of the problem: (2 x 104)(8.21 x 103)? a) 1.642 x 108 b) 1.6 x 108 c) 1.642 x 101 d) 1.6 x 101 50) Find the product of the problem: (3.5 x 108)(7.1 x 10-9)? a) 24.85 x 10-1 b) 2.485 x 10-2 c) 2.485 x 100 d) 24.85
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Converting Between Standard and Scientific Notation | Multiplying & Dividing Scientific Notation
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Math
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