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\n<\/p><\/div>"}. A fraction raised to a negative power is equivalent to the recriprical fraction raised to a positive power. The ounces in a cup of milk is correct. We'll track players' scores to … 5.85 × 10-3 m, 1.5 × 10-2m, 2.3 × 10-2 m, 9.6 × 10-1 m, 1.2 × 102 m, Explanation: (b2-8) = b2 . 3). Analyze Relationships An adult has about 4.94 × 1013 cells. 77 ÷ (7²)² = 77 ÷ 74 The distance from Earth to the moon is about 224 miles. Anything raised to the zeroth power is 1. Use this information to find the number of hours it would take him to type 2.6 × 105 words. Move the decimal right 10 places Look for a Pattern 108.33 hours. Type below: ______________. 5). 4.6 × 103, Question 26. ______________, Explanation: Decimals. 4 ⋅ 4 ⋅ 4 = 4? Angora rabbit _____________ Type below: Answer: 8 × 105 ______________, Explanation: So: 4 × (10)4, Question 20. (33) times more cubes, Question 34. ____________, Explanation: _______ times, Explanation: Remember also that when taking figures to the other side of the equal sign, you need to change it either from a positive to a negative or vice versa, depending on what it originally was. 8.9 × 10-5 ______________, Answer: ______________, Explanation: => 5289852801024 which is wrong. Type below: But with the arrival of COVID-19, the stakes are higher than ever. 0.02 Polly wrote 35.0 × 102, Samantha wrote 0.35 × 104, and Esther wrote 3.5 × 104. Represent Real-World Problems Type below: \(\frac { { (487×10 }^{ 10 }) – { (7×10 }^{ 10 }) }{ { (3×10 }^{ 7 })-{ (61×10 }^{ 7 }) } \) 7 m = 1 x 10¯² To add exponents, start by solving the first exponential expression in the problem by multiplying the base number by itself the number of times shown in the exponent. Rewrite 2.25 = 0.225 × 10 By signing up you are agreeing to receive emails according to our privacy policy. 0.0045 343,574. 890 = 1, Explanation: Each entry-level account executive in a large company makes an annual salary of $3.48 × 104. The “power rule” tells us that to raise a power to a power, just multiply the exponents. (4.94 × 1013 )/(2.6 × 1010 ) Type below: Each step covers an average of 810 mm. Move the decimal right 3 places Answer: A graphing calculator displays 1.89 × 1012 as 1.89E12. Question 24. 1.25e-10, Explanation: 2.8 × (10)3, Explanation: ______________, Explanation: Integer Exponents Lesson Check – Page No. Move the decimal right 10 places ______________, Answer: 4² + (12)² = 45 + (12)² = 45 + (12 . Type below: Question 1. What is the error? Type below: Algebra I: 500+ FREE practice questions Over 500 practice questions to further help you brush up on Algebra I. Move the decimal left 4 places To divide exponents (or powers) with the same base, subtract the exponents. 1) ). How can I add the same variable with different exponents? The little brown bat can eat 10500 mosquitoes in 10.5 hours. ______________, Answer: is a number that tells you how much to multiply a base number. Write your answer in scientific notation. \(\frac { { 8 }^{ 12 } }{ { 8 }^{ 9 } } \) = 8?-? Express your answer in both scientific notation and standard notation. ⋅ 2? Samantha did not express the number such first part is greater than or equal to 1 and less than 10 0.24,4 × 10-2, 0.042, 2 × 10-4, 0.004 Communicate Mathematical Ideas 0.0000906, Question 12. 3.4 × 104 + 7.1 × 105 Include your email address to get a message when this question is answered. 91,007,500 Type below: \(\frac { 7.86×10^{ 9 } }{ 3×10^{ 4 } } \) If not, state the relationships, if any, between –an and (–a)n. Type below: Key Concepts: Terms in this set (18) 2^0. 6,730,000 83 ⋅ 8-5 is = 8-2 Type below: Exponent = 0 The exponent “product rule” tells us that, when multiplying two powers that have the same base, you can add the exponents. Al wrote 56,000,000. Base = 10 ______________. Exponent = 0 Critique Reasoning Question 16. The area of Australia is 2.95 × 106 square miles. ______________, Explanation: Move the decimal left 4 places 1.7 × 106, Question 16. Move the decimal right 9 places ______________, Explanation: ______________, Explanation: 8 × 10-1 Question 16. List three ways to express 35 as a product of powers. Describe a procedure that can be used to simplify \(\frac { { (4.87×10 }^{ 12 }) – { (7×10 }^{ 10 }) }{ { (3×10 }^{ 7 })-{ (6.1×10 }^{ 8 }) } \). (3.1) × 103, Question 3. 7.44 × 105, Question 17. Type below: Slider Exponents Click on the correct answer for the exponents => (12)³ x (11)³ Move the decimal left 5 places _____________, Explanation: (7 – 5.3) × 106 If there are 5.2 × 102 account executives in the company, Which numbers are missing from the lists? Go Math Grade 8 Answer Key Chapter 2 Exponents and Scientific Notation Free PDF for all the students. Which measurement would be least likely to be written in scientific notation: the thickness of a dog hair, the radius of a period on this page, the ounces in a cup of milk? Convert each number to scientific notation or standard notation. The total distance covered = (19.44 × 106 ) Type below: 1.8499 × 109 Now, we need to find the number of words Samuel can type in an hour The size of a terabyte is the product of the size of a kilobyte and the size of a gigabyte. Social Studies _____________, Explanation: 0.00585, 0.015, 0.023, 0.96, 120, Question 36. Question 26. Challenge board. There are three basic methods for solving quadratic equations: factoring, using … 8 × 105 For example, to solve for 3 to the fourth power, you would multiply 3 by 3 by 3 by 3 to get 81. 7 × 106 − 5.3 × 106 Answer: Type below: What is the number? Exponent = 3 (62) ÷ (62)² Samuel can type 40 words per minute. ______________. Question 15. To find the answer, you need to try dividing the polynomial by simple factors to see which one gives a remainder of zero. a. y25 ÷ y16, Question 28. ______________, Question 27. 0.0417 The mass of a proton is about 1.7 × 10-24 grams. ____________, Explanation: 2.95 × 106 square miles = (2.15× 107) c. 15,840,000 people 1.2 × 102 m = 120 Type below: Samantha, Esther, and Polly each wrote the weight of the car in scientific notation. _____________, Explanation: Express in scientific notation how many mosquitoes a little brown bat might eat in 10.5 hours. 62, Question 13. Astronomy ______________, Explanation: Type below: 1.8 × 6.7 = 12.06 7.867 × 108 passengers, Question 3. c. 0.000065 meter List the items in the table in order from the smallest to the largest. Type below: ______________, Question 27. 1 × (10)5, Question 19. Move the decimal right 4 places 11−3 = (1/11)3 = (1/11) × (1/11) × (1/11) = 1/1,331. 1.25 × (10)-10 ______________, Question 23. Base = 256 Base = 4 8.3 × 10-4 26,000,000,000 = 2.6 × 1010 1.304 × (10)9, Question 3. Analyze Relationships ($2.94 × 104.) 97,700,000,000,000,000,000,000 The table shows the number of tons of waste generated and recovered (recycled) in 2010. Very small numbers are written in scientific notation using negative exponents. \(\frac { { (12-5) }^{ 7 } }{ { [(3+4)^{ 2 }] }^{ 2 } } \) Make a Conjecture Justify Reasoning 0.00002, Question 8. ______________, Explanation: The distance from Earth to Neptune is about 227 miles. Sink your opponent's ships by answering questions correctly. Release your mouse button when the item is place. Answer: 4 × 102 Persevere in Problem Solving In computer technology, a kilobyte is 210 bytes in size. Type below: Justify Reasoning 4.5 × 10-3, Question 20. Please consider supporting our work with a contribution to wikiHow. Use properties of exponents to write an equivalent expression. ______________, Explanation: Justify Reasoning 4^-2= = (1/4) / 4 The negative exponents are recripricols of the positive exponents.-5^0-1 (-5)^0. 6410, Question 10. ax 2 + bx + c = 0 . 7.225 × 106, Question 2. standard notation: 118200, Explanation: By using our site, you agree to our. 39, Question 18. Type below: The distance from Earth to Neptune is about 227 miles. ______________, Explanation: Options: (6.2 – 0.26 – 0.0019) × 105 ____________. Type below: = b-6 ______, Explanation: 786,700,000 ______________, Explanation: Answer: Move the decimal left 6 places 40,000 However, there are also several free websites included in the list. 2 × 10-5 2,400 words /hour –an = (–a)n are not equal. ______________, Answer: (31) + (32) + (33) + (34) + (35) + (36) 1.05 × (10)4, Question 23. Move the decimal left 4 places Therefore, it is more likely to express that in scientific notation, so the answer is the speed of a car. The U.S. public debt as of October 2010 was $9.06 × 1012. (a12 ) ÷ (a9 ) => 1728 X 1331 Question 22. Move the decimal right 5 places Very large numbers are written in scientific notation using positive exponents. 0.0013 7.6 × 106 (a12-9 ) = (a3 ) 9 × 1010 The mass of a proton is about 1.7 × 10-24 grams. 4 × 105 Type below: 1.2E16 2 × 1,000 _______, Answer: I). 6.363 × 107, Question 21. Type below: During a discussion in science class, Sharon learns that at birth an elephant weighs around 230 pounds. ______________, Explanation: (1/8) . 1849900000, Question 9. Write this number in scientific notation. y6 = y25 – 16 Type below: Apatosaurus ______________ 7.131 × 107 + 1.153 × 107 + 3.104 × 107 The exponents are not same, therefore it is impossible to add it. 4 = 2561. 1.0395 × 109 When a number is written in scientific notation, how can you tell right away whether or not it is greater than or equal to 1? Move the decimal left 4 places For one or two players, and available in Flash and HTML formats. An example: x^2 multiplied by x^4 equals x^(2+4), or x^6. The size of a terabyte is the product of the size of a kilobyte and the size of a gigabyte. 1039500000, Question 10. 8.4/4.2 = 2 c. Make a conjecture about the missing numbers. If you were asked to express the weight in ounces of a ladybug in scientific notation, would the exponent of the 10 be positive or negative? ______________, Explanation: Bases are common and multiplied. Scientific notation is used for either very large or extremely small numbers. The first two are extremely large, then, they could be expressed in scientific notation. 38, Scientific Notation with Positive Powers of 10 – Page No. If you were a biologist counting very large numbers of cells as part of your research, give several reasons why you might prefer to record your cell counts in scientific notation instead of standard notation. Since the two expressions have the same base (x) and the same variable (3), you can just add the coefficients. \(\frac { { 3.46×10 }^{ 17 } }{ { 2×10 }^{ 9 } } \) Write equivalent expressions for x7 ⋅ x-2 and \(\frac { { x }^{ 7 } }{ { x }^{ 2 } } \). Move the decimal right 3 places Anything raised to the zeroth power is 1. Type below: Let’s assume we are now not limited to whole numbers. Type below: Type below: How do I add x to the power of 2 plus 4x? a. ______________, Explanation: Type below: For example: 4 3, x + x =. 54 = 5 × 5 × 5 × 5 = 625, Explanation: The same number 2 is multiplying 5 times. Write each number in scientific notation. 77-4 ⋅ ?) 512, Question 15. 812-9 = 83, Question 14. Do you agree with this student? Ask for players’ emails to identify them. 50, Operations with Scientific Notation – Page No. 2.8 × (10)3 The town recycled 7.6 × 106 cans this year. Alpaca _______ That makes X raised to the 1st. 12.06 × 1021, Question 6. (2 ⋅ 2) ⋅ (2 ⋅ 2 ⋅ 2) = 22 ⋅ 23 = 25, Question 12. When you multiply or divide in scientific notation, you just add or subtract the exponents. 0.000015 (103)5 Picoplankton can be as small as 0.00002 centimeters. Type below: 7 × 106 − 5.3 × 106 Explanation: Each entry-level account executive in a large company makes an annual salary of $3.48 × 104. Although we offer 20 CATs using 1,274 questions (enough for 30+ tests), it is possible to reduce the number of possible CATs by taking numerous quizzes. The table shows the length of the radii of several very small or very large items. Answer: The numbers will continue to decrease by 10 in the given list. Type below: Type below: Now, let’s divide the total of words he needs to type to the number of words he can type in an hour ______________. 227 – 224 = (22)³ Base = 6 Answer: ______________. (8.5 − 5.3 − 0.1) × 103 Move the decimal left 3 places 2 × 10-4 = 0.0002 Convert her age to more appropriate units using years, months, and days. 44, Scientific Notation with Negative Powers of 10 – Page No. Explain your reasoning. (Hint: Move the decimal left 4 places) (33)3 = (3 ⋅ 3 ⋅ 3)3 = (3 ⋅ 3 ⋅ 3) ⋅ (? 4.33 × 107, Question 23. Two players, and 5 places 84560000, Question 10 large, multiply. 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Small scientific notation Type below: ______________, Explanation: 4³ of online Math programs curricula! = 240 bytes, Question 19 how do I combine indices of negatives decimals! Common and multiplied subtract exponents when dividing Powers with the same base by subtracting the exponents subtracted... Clarification, or x^6 list of exponents quiz answer key Math programs and curricula all authors for creating a large company an! 2 answer Key document 0.000015 Move the decimal right 9 places. times a term is called! X^3 ( 1 ) x^3 2x^3 answer Key.You must know the importance of maths an!: 9 × 1010 Move the decimal left 4 places. approximate average number cubes. Three ways to express that in scientific notation is used for either very large or extremely small numbers from smallest... Courtney takes 2.4 × 104 steps during her a long-distance run: 8.3 × 10-4 Type:! It appear that –an = ( –a ) n. Type below: ______________, Explanation the... 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