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Mastering Real Numbers: Jeopardy Style Questions and Answers

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tiara
54 diapositives · 757 Views · Jul 17, 2014

Dive into the world of real numbers with this Jeopardy-style quiz covering crucial mathematical concepts. Engage with questions on evaluating and ordering numbers, scientific notation, radicals, and their applications. Each question is assigned a value ranging from $100 to $500, progressing in difficulty. Participants will tackle various properties of numbers, from identifying subsets to simplifying expressions, ensuring a comprehensive review of key mathematical principles. Test your knowledge in a fun and interactive way!

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Mastering Real Numbers: Jeopardy Style Questions and Answers
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  1. REAL NUMBERS

  2. Jeopardy Evaluating and Ordering Subsets and Properties Scientific Notation Radicals Application Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

  3. $100 Question from Subsets and Properties Name all the subsets to which -3/4 belongs.

  4. $100 Answer from Subsets and Properties What is rational and real?

  5. $200 Question from Subsets and Properties Brandon and Brady are working the following problem. 3x + 5 + 8x + 7 + 9x + 11  Brandon decides to write the problem as shown below. 3x + 8x + 9x + 5 + 7 + 11   Brady does not rewrite the problem, but he gets the same answer as Brandon. What property justifies that Brandon can rearrange the terms in the problem and have an equivalent expression? .

  6. $200 Answer from Subsets and Properties What is the Commutative Property of Addition?

  7. $300 Question from Subsets and Properties • In order for a number to be considered rational, which of the following must be true? • A. It must be a terminating or repeating decimal. • B. It can be written in the form of a fraction. • C. Both A and B. • D. Neither A nor B.

  8. $300 Answer from Subsets and Properties What is C ?

  9. $400 Question from Subsets and Properties • Adam solved the following problem. 3 + 4(x + 9) – 3 = 11 Step 1 3 – 3 + 4(x + 9) = 11 Step 2 4 (x + 9) = 11 Step 3 4x + 36 = 11 Step 4 4x = -25 Step 5 x = -25/4 Step 6 Name the property used between Step 1 and 2.

  10. $400 Answer from Subsets and Properties What is Commutative Property of Addition?

  11. $500 Question from Subsets and Properties Which statement best describes the values of the numbers in this set? A. They are irrationals between 2 and 2.5. B. They are rationals between 1.5 and 2. C. They are rationals between 2 and 2.5. D. They are irrationals between 1.5 and 2.

  12. $500 Answer from Subsets and Properties What is A?

  13. $100 Question from Evaluating and Ordering Order the following numbers from least to greatest: -3π, -√99, -9 ⅛

  14. $100 Answer from Evaluating and Ordering What is -√99, -3π, -9 ⅛

  15. $200 Question from Evaluating and Ordering Evaluate: 5m² - 9n³ for m = -4 and n=6

  16. $200 Answer from Evaluating and Ordering What is a -1864?

  17. $300 Question from Evaluating and Ordering Simplify the expression below: 4 – 2(6 – 3n) + 8n

  18. $300 Answer from Evaluating and Ordering What is 14n - 8?

  19. $400 Question from Evaluating and Ordering

  20. $400 Answer from Evaluating and Ordering

  21. $500 Question from Evaluating and Ordering • Which of the following is not a perfect cube? • A. 216 • B. 8 • C. 64 • D. 81

  22. $500 Answer from Evaluating and Ordering What is D?

  23. $100 Question from Scientific Notation Simplify the expression. Express the answer in scientific notation. Round to the nearest hundredth. (6.24 × 1013)3

  24. $100 Answer from Scientific Notation What is 2.43 x 1041?

  25. $200 Question from Scientific Notation Write the quotient in scientific notation.

  26. $200 Answer from Scientific Notation What is 9x10-5?

  27. $300 Question from Scientific Notation Which is closest to the product of 6x103 and 12.4x103? • A. About 7 million • B. About 70 million • C. About 700 thousand • D. About 70 thousand

  28. $300 Answer from Scientific Notation • What is B? • Approximately 74,400,000

  29. $400 Question from Scientific Notation • A golf ball has an approximate volume of 2.3 x 103 cubic centimeters. A new carrying case for golf balls will have a total volume of 7.8 x 1013 cubic centimeters. Approximately how many golf balls will this case hold? Leave your answer in scientific notation.

  30. $400 Answer from Scientific Notation What is approximately 3.4 x 1010 golf balls?

  31. $500 Question from Scientific Notation • Find the area of the rectangle in standard notation. 3.4 x 102ft 7.8 x 103 ft

  32. $500 Answer from Scientific Notation • What is 2,652,000 square feet?

  33. $100 Question from Radicals

  34. $100 Answer from Radicals

  35. $200 Question from Radicals

  36. $200 Answer from Radicals

  37. $300 Question from Radicals

  38. $300 Answer from Radicals What is D ?

  39. $400 Question from Radicals • Simplify the following expression: 14√7 - 3√98

  40. $400 Answer from Radicals What is -7√7?

  41. $500 Question from Radicals • Which of the following is equivalent to the expression below? 18√7 √3 • 6√7 • 6 √21 • 18 √21 • 18 √7

  42. $500 Answer from Radicals What is B ?

  43. $100 Question from Application • If a and b are whole numbers, then a – b is also a whole number. The above statement is true when? • A. Sometimes • B. Always • C. Never

  44. $100 Answer from Application What is sometimes? Only when a ≥ b. Counterexample: Let a = 5 and b=9 .

  45. $200 Question from Application • Which pair of expressions are not equivalent? • A. a + b and b + a • B. 5(n – 6) and 5n – 30 • C. (8 + 3) + 7 and 8●(3●7) • D. 18+ 0 and 18

  46. $200 Answer from Application What is C?

  47. $300 Question from Application • Name two reasons why two radical expressions cannot be combined. (What would make them not be like terms? Use the correct vocabulary)

  48. $300 Answer from Application What is not the same index or radicand?

  49. $400 Question from Application • Using the number 7 give an example of each. • A. Identity Property of Addition • B. Identity Property of Multiplication • C. Inverse Property of Addition • D. Inverse Property of Multiplication.

  50. $400 Answer from Application What is • Identity Property of Addition 7 + 0 = 7 • B. Identity Property of Multiplication 7 ●1 = 7 • C. Inverse Property of Addition 7 + - 7 = 0 • D. Inverse Property of Multiplication 7 ● 1/7 = 1 ?