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REAL NUMBERS. 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. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: REAL NUMBERS
Page 2: REAL NUMBERS

Jeopardy Subsets and Properties

Evaluating and Ordering

Scientific Notation

Radicals Application

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Q $200

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Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

Page 3: REAL NUMBERS

$100 Question from Subsets and Properties

Name all the subsets to which -3/4 belongs.

Page 4: REAL NUMBERS

$100 Answer from Subsets and Properties

What is rational and real?

Page 5: REAL NUMBERS

$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? 

.

Page 6: REAL NUMBERS

$200 Answer from Subsets and Properties

What is the Commutative Property of Addition?

Page 7: REAL NUMBERS

$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.

Page 8: REAL NUMBERS

$300 Answer from Subsets and Properties

What is C ?

Page 9: REAL NUMBERS

$400 Question from Subsets and Properties

• Adam solved the following problem. 3 + 4(x + 9) – 3 = 11 Step 13 – 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.

Page 10: REAL NUMBERS

$400 Answer from Subsets and Properties

What is Commutative Property of Addition?

Page 11: REAL NUMBERS

$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.

64 81 100, ,15 19 23

Page 12: REAL NUMBERS

$500 Answer from Subsets and Properties

What is A?

Page 13: REAL NUMBERS

$100 Question from Evaluating and Ordering

Order the following numbers from least to

greatest: -3π, -√99, -9 ⅛

Page 14: REAL NUMBERS

$100 Answer from Evaluating and Ordering

What is -√99, -3π, -9 ⅛

Page 15: REAL NUMBERS

$200 Question from Evaluating and Ordering

Evaluate: 5m² - 9n³ for m = -4 and n=6

Page 16: REAL NUMBERS

$200 Answer from Evaluating and Ordering

What is a -1864?

Page 17: REAL NUMBERS

$300 Question from Evaluating and Ordering

Simplify the expression below:

4 – 2(6 – 3n) + 8n

Page 18: REAL NUMBERS

$300 Answer from Evaluating and Ordering

What is 14n - 8?

Page 19: REAL NUMBERS

$400 Question from Evaluating and Ordering

•  

Page 20: REAL NUMBERS

$400 Answer from Evaluating and Ordering

 

Page 21: REAL NUMBERS

$500 Question from Evaluating and Ordering

• Which of the following is not a perfect cube?

• A. 216• B. 8• C. 64• D. 81

Page 22: REAL NUMBERS

$500 Answer from Evaluating and Ordering

What is D?

Page 23: REAL NUMBERS

$100 Question from Scientific Notation

Simplify the expression. Express the answer in

scientific notation. Round to the nearest hundredth.

(6.24 × 1013)3

Page 24: REAL NUMBERS

$100 Answer from Scientific Notation

What is 2.43 x 1041?

Page 25: REAL NUMBERS

$200 Question from Scientific Notation

Write the quotient in scientific notation.

64.5 1025 10

Page 26: REAL NUMBERS

$200 Answer from Scientific Notation

What is 9x10-5?

Page 27: REAL NUMBERS

$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

Page 28: REAL NUMBERS

$300 Answer from Scientific Notation

• What is B? • Approximately 74,400,000

Page 29: REAL NUMBERS

$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.

Page 30: REAL NUMBERS

$400 Answer from Scientific Notation

What is approximately 3.4 x 1010 golf balls?

Page 31: REAL NUMBERS

$500 Question from Scientific Notation

• Find the area of the rectangle in standard notation.

3.4 x 102 ft

7.8 x 103 ft

Page 32: REAL NUMBERS

$500 Answer from Scientific Notation

• What is 2,652,000 square feet?

Page 33: REAL NUMBERS

$100 Question from Radicals

 

Page 34: REAL NUMBERS

$100 Answer from Radicals

 

Page 35: REAL NUMBERS

$200 Question from Radicals

 

Page 36: REAL NUMBERS

$200 Answer from Radicals

 

Page 37: REAL NUMBERS

$300 Question from Radicals

•  

3 300 2 27

Page 38: REAL NUMBERS

$300 Answer from Radicals

What is D ?

Page 39: REAL NUMBERS

$400 Question from Radicals

• Simplify the following expression:

14√7 - 3√98

Page 40: REAL NUMBERS

$400 Answer from Radicals

What is -7√7?

Page 41: REAL NUMBERS

$500 Question from Radicals

• Which of the following is equivalent to the expression below? 18√7

√3A. 6√7B. 6 √21C. 18 √21D. 18 √7

Page 42: REAL NUMBERS

$500 Answer from Radicals

What is B ?

Page 43: REAL NUMBERS

$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

Page 44: REAL NUMBERS

$100 Answer from Application

What is sometimes?

Only when a ≥ b. Counterexample: Let a = 5 and b=9

.

Page 45: REAL NUMBERS

$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

Page 46: REAL NUMBERS

$200 Answer from Application

What is C?

Page 47: REAL NUMBERS

$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)

Page 48: REAL NUMBERS

$300 Answer from Application

What is not the same index or radicand?

Page 49: REAL NUMBERS

$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.

Page 50: REAL NUMBERS

$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 ?

Page 51: REAL NUMBERS

$500 Question from Application

• Sally wants to calculate her earnings for this weekend using t for hours worked Saturday and n for Sunday. She can either add her hours together first then multiply by her hourly wage of $8 or she can multiply the each of the hours by 8 then add them together. Which property allows her to get the same answer either method?

Page 52: REAL NUMBERS

$500 Answer from Application

What is the Distributive Property?

The two expressions are 8(t + n) = 8t + 8n

Page 53: REAL NUMBERS

Final Jeopardy

Page 54: REAL NUMBERS

Final Jeopardy Answer

What is ?