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Math Challenge: Exponential & Scientific Notation

Dive into the world of exponential and scientific notation, tackle positive & negative numbers, and test your math skills with various number forms and expressions.

timothy-slater
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Math Challenge: Exponential & Scientific Notation

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  1. Jeopardy Positives & Negative Exponential Notation Scientific Notation Expression &Forms Hodgepodge 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

  2. $100 Exponential Notation ³ What is the name of the 4 and the 3 in this expression? 4

  3. $100 Exponential Notation 4=The Exponent 3=The Base (Big Number …base)

  4. $200 Exponential Notation What does the base number tell us?

  5. $200 Exponential Notation The number that is being multiplied over and over. 3³ tells us that we are multiplying by 3.

  6. $300 Exponential Notation What does the exponent tell us?

  7. $300 Exponential Notation How many times the base is multiplied or used as a factor. 3³ tells us we are multiplying 3, 3 times ore 3*3*3

  8. $400 Exponential Notation What is another way to say 9³?

  9. $400 Exponential Notation 9 to the third power Or 9*9*9 Or 729

  10. $500 Exponential Notation What is the value of this expression? 5 5

  11. $500 Exponential Notation 5*5*5*5*5=3,125 5*5=25 25*5=125 125*5= 625 625*5= 3,125

  12. $100 Scientific Notation What types of numbers does scientific notation combine?

  13. $100 Scientific Notation A standard number and a power of 10.

  14. $200 Scientific Notation What is a power of 10?

  15. $200 Scientific Notation A number in exponential notation that has 10 as the base. EXAMPLE:10²

  16. $300 Scientific Notation What is the rule for solving problems Using scientific notation?

  17. $300 Scientific Notation • “Stick” down the standard number and • Attach the zeros… • The exponent tells how many. Example: 3x10 = 300,000 5

  18. $400 Scientific Notation 11 What is the value of 7 *10 ?

  19. $400 Scientific Notation 700,000,000,000 700 Billion

  20. $500 Scientific Notation What is the value of 3.5 * 10 ? 8

  21. $500 Scientific Notation 350,000,000 Take off one zero because there is one digit after the decimal point.

  22. $100 Positive & Negative -234 is an example of a what?

  23. $100 Positive & Negative A negative number

  24. $200 Positive & Negative Every negative number is less than this Every positive number is greater than this

  25. $200 Positive & Negative ZERO

  26. $300 Positive & Negative Mr. Negative Mr. Positive Mr. Positive & Mr. Negative are having a battle. Mr. Positive throws positives (+) and Mr. Negative throws out Negatives (-). WHO WINS THIS FIGHT AND BY HOW MUCH? - - + - + - - + + - - + + -

  27. $300 Positive & Negative Mr. Negative wins by 2. -8 + 6= -2

  28. $400 Positive & Negative What does same-change-change mean?

  29. $400 Positive & Negative When subtracting positive & negative numbers…. Keep the first number the SAME CHANGE the operation CHANGE the sign of the second number Example: 3 – (-6) = ___ 3+ (+6)= _______

  30. $500 Positive & Negative Use < > or = to solve the following Examples. A.) -4 ____ 3 B.) 37 ____ -44 C.) 24/4 ____ 6- (-7) D.) -5 + (-5) ____ -10

  31. $500 Positive & Negative A.) -4 < 3 B.) 37 > -44 C.) 24/4 < 6- (-7) D.) -5 + (-5) = -10

  32. $100 Expressions & Forms What form is this number written in? 80 billion

  33. $100 Expressions & Forms Number and word form

  34. $200 Expressions & Forms Is this a number sentence? Why or why not? 2*10³

  35. $200 Expressions & Forms No, it is not a number sentence because It doesn’t have an equal sign or inequality sign (< >).

  36. $300 Expressions & Forms What form is this number written in? 20,000+3,000+500+60+8

  37. $300 Expressions & Forms Expanded form

  38. $400 Expressions & Forms Is this number sentence true? Why or why not? 14 +(-25) > -50

  39. $400 Expressions & Forms Yes, because… 14+ (-24) = -10 and -10 > -55

  40. $500 Expressions & Forms Insert the parentheses to make this number sentence true. -5+8*12= 36

  41. $500 Expressions & Forms (-5+8)*12= 36

  42. $100 Hodgepodge What does “Please Excuse My Dear Aunt Sally” represent?

  43. $100 Hodgepodge Please – Parentheses Excuse – Exponent My- Multiply Dear- Divide Aunt – Add Sally - Subtract

  44. $200 Hodgepodge What is the answer to this number sentence? 6 * (3 +2²) ÷ 2 =________

  45. $200 Hodgepodge 21

  46. $300 Hodgepodge What do you do if you are left with Only addition and subtraction OR Only multiplication and division? Example: 6 * 4 ÷ 2= _______

  47. $300 Hodgepodge Work left to right! 6 * 4 ÷ 2= _______

  48. $400 Hodgepodge Write this number using powers of 10 1,000,000,000,000

  49. $400 Hodgepodge 10 12

  50. $500 Hodgepodge What is the value of this expression? 3*3*3*3*3*3*3=?

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