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Rational numbers

Rational numbers. Monday, March 3 rd. Rational Numbers. What is a rational number? A number that make logical decisions A number that can be written as a fraction: a/b A number that can be written as a fraction: a/ b where a is not zero

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Rational numbers

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  1. Rational numbers Monday, March 3rd

  2. Rational Numbers What is a rational number? • A number that make logical decisions • A number that can be written as a fraction: a/b • A number that can be written as a fraction: a/b where a is not zero • A number that can be written as a fraction: a/b where b is not zero

  3. Rational Numbers What is a rational number? • A number that make logical decisions • A number that can be written as a fraction: a/b • A number that can be written as a fraction: a/b where a is not zero • A number that can be written as a fraction: a/b where b is not zero

  4. Rational Numbers Is π a rational number? • Yes • No • Maybe

  5. Rational Numbers Is π a rational number? • Yes • No • Maybe

  6. Rational Numbers Is e a rational number? • Yes • No • Maybe

  7. Rational Numbers Is e a rational number? • Yes • No • Maybe

  8. Rational Numbers Is -2.33091 a rational number? • Yes • No • Maybe

  9. Rational Numbers Is -2.33091 a rational number? • Yes • No • Maybe

  10. Rational Numbers What is the same number as: • -3/-4 • -3/4 • 3/4 • Two of the above 3 –4

  11. Rational Numbers What is the same number as: • -3/-4 • -3/4 • 3/4 • Two of the above 3 –4

  12. Adding and Subtracting Fractions Solve: 7 12 3 4 –

  13. Adding and Subtracting Fractions Solve: 7 12 3 4 x3 x3 –

  14. Adding and Subtracting Fractions Solve: 7 12 2 12 9 12 – =

  15. Adding and Subtracting Fractions Solve: 7 12 2 12 3 4 1 6 – = =

  16. Try on your own Page 121 #1, 10 – 17, 22 – 35

  17. Multiplying rational numbers Multiplying fractions is easier than adding or subtracting them! Just multiply the tops and the bottoms separately. Example: 5 2 3 4 = x

  18. Multiplying rational numbers Multiplying fractions is easier than adding or subtracting them! Just multiply the tops and the bottoms separately. Example: 15 8 5 2 3 4 = x

  19. Multiplying rational numbers Multiplying fractions is easier than adding or subtracting them! Just multiply the tops and the bottoms separately. Example: 3 5 3 4 = x 1

  20. Multiplying rational numbers Multiplying fractions is easier than adding or subtracting them! Just multiply the tops and the bottoms separately. Example: ( ) 3 5 3 4 5 5 = x +

  21. Multiplying rational numbers Multiplying fractions is easier than adding or subtracting them! Just multiply the tops and the bottoms separately. Example: 8 5 3 4 = x

  22. Multiplying rational numbers Multiplying fractions is easier than adding or subtracting them! Just multiply the tops and the bottoms separately. Example: 24 20 8 5 3 4 = x

  23. Multiplying rational numbers Multiplying fractions is easier than adding or subtracting them! Just multiply the tops and the bottoms separately. Example: 6 5 24 20 8 5 3 4 = = x

  24. Dividing rational numbers To divide fractions, just flip the second fraction upsidedown (aka. find the reciprocal) and multiply! Example: 8 5 3 4 = ÷

  25. Dividing rational numbers To divide fractions, just flip the second fraction upsidedown (aka. find the reciprocal) and multiply! Example: 8 5 3 4 8 5 4 3 = = ÷ x

  26. Dividing rational numbers To divide fractions, just flip the second fraction upsidedown (aka. find the reciprocal) and multiply! Example: 32 15 8 5 3 4 8 5 4 3 = = ÷ x

  27. Why is division the same as multiplication by the reciprocal? Let’s say you wanted to know what a/b ÷ c/d was… c d a b ÷ = ?

  28. Why is division the same as multiplication by the reciprocal? Let’s say you wanted to know what a/b ÷ c/d was… c d a b ÷ = ? We can write this division as a fraction: a b = ? c d

  29. Why is division the same as multiplication by the reciprocal? Let’s say you wanted to know what a/b ÷ c/d was… c d a b ÷ = ? We can always multiply by 1: a b d c × = ? c d d c ×

  30. Why is division the same as multiplication by the reciprocal? Let’s say you wanted to know what a/b ÷ c/d was… c d a b ÷ = ? We can always multiply by 1: a b a b d c d c × × = c d d c 1 ×

  31. Why is division the same as multiplication by the reciprocal? Let’s say you wanted to know what a/b ÷ c/d was… c d a b ÷ = ? We can always multiply by 1: a b a b d c d c × × a b d c = = × c d d c 1 ×

  32. Fraction game! The Rules: • If you answer the math question correctly, you will move forward the number of spaces you roll. • If you land on the same space as another team, you will have to battle it out: the fastest team to solve the fraction gets to move ahead 2 more spaces. • Your answer must be in lowest terms to be correct. • NO CALCULATORS!

  33. Fraction Game! 2 5 3 6 1 5 = x

  34. Fraction Game! 5 -8 -2 4 5 16 = x

  35. Fraction Game! -1 7 -8 3 3 56 = ÷

  36. Fraction Game! -1 6 5 3 3 2 = +

  37. Fraction Game! 5 4 2 5 33 20 = +

  38. Fraction Game! 3 7 1 3 17 21 = x 2

  39. Fraction Game! 3 4 -8 -6 7 3 = x 1

  40. Fraction Game! -1 6 9 8 -3 16 = x

  41. Fraction Game! 6 5 -3 2 -3 10 = +

  42. Fraction Game! 2 7 -3 5 -6 35 = x

  43. Fraction Game! 1 3 -5 7 22 21 = −

  44. Fraction Game! -4 9 3 4 -16 27 = ÷

  45. Fraction Game! 5 6 -1 3 17 18 = x -2

  46. Fraction Game! 2 7 3 5 10 21 = ÷

  47. Fraction Game! 1 5 -9 10 -99 50 = x 2

  48. Fraction Game! 1 5 -2 3 -33 10 = ÷ 2

  49. Fraction Game! -2 5 6 9 -3 5 = ÷

  50. Fraction Game! 1 -3 -7 2 -23 6 = +

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