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The Real Number System

Whole numbers, integers, rational numbers, irrational numbers, counting numbers, square roots, cube roots<br><br>Pre-algebra math 8

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The Real Number System

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  1. Wednesday 2/23

  2. Name- ___________________ Warm Up Directions: Convert the decimals below to a fraction in simplest form. 0.212 = ____________ 0.55 = ______________ Directions: Write a system of equations to solve the word problem below. Mary and Jim each bought plants from the same store. Mary spent $188 on 7 cherry trees and 11 rose bushes. Jim spent $236 on 13 cherry trees and 11 rose bushes. Find the cost of one cherry tree and the cost of one rose bush. Variables:

  3. ANSWER KEY Convert the decimals below to a fraction in simplest form. 0.212 = 212 ÷ 4 = 53 The 3rd decimal place is the thousandths place 1,000 ÷ 4 = 250Factor out GCF from the top and bottom, then simplify 0.55 = 55 ÷ 5 = 11 The 2nd decimal place is the hundredths place 100 ÷ 5 = 20 Factor out GCF from the top and bottom, then simplify

  4. ANSWER KEY Elimination Method 7x +11y = 188 -13x -11y = -236 -6x = -48 -6 -6 x = 8 The cost of a cherry tree is $8. (-1) Mary and Jim each bought plants from the same store. Mary spent $188 on 7 cherry trees and 11 rose bushes. Jim spent $236 on 13 cherry trees and 11 rose bushes. Find the cost of one cherry tree and the cost of one rose bush. 7x + 11y = 188 7(8) + 11 y = 188 56 + 11y = 188 - 56 -56 11y = 132 11 11 y = 12 The cost of a rose bush is $12.

  5. Absent for this lesson? Need more explanation? Check out the video at this link to see more! Click here to watch!

  6. Rational and Irrational Numbers I can identify a number that is irrational. The lesson will explain how to: • determine whether numbers are rational or irrational • order rational and irrational numbers

  7. Rational and Irrational Numbers I can find square roots and cube roots of rational numbers. Click here to watch a Brain Pop video. User name: SPMS Password: parkpride Use your notebook to write down important details.

  8. Vocabulary

  9. Vocabulary Whole numbers, not including zero Numbers: 0, 1, 2, 3, 4, … Not fractions Whole positive numbers and their opposite negative numbers A number that can be made by dividing 2 integers, a ratio Can not be written as a ratio, has an infinite amount of non repeating digit to the right of the decimal ex: pi

  10. Vocabulary Whole numbers, not including zero Numbers: 0, 1, 2, 3, 4, … Not fractions Whole positive numbers and their opposite negative numbers A number that can be made by dividing 2 integers, a ratio Can not be written as a ratio, has an infinite amount of non repeating digit to the right of the decimal ex: pi

  11. Vocabulary Whole numbers, not including zero Numbers: 0, 1, 2, 3, 4, … Not fractions Whole positive numbers and their opposite negative numbers A number that can be made by dividing 2 integers, a ratio Can not be written as a ratio, has an infinite amount of non repeating digit to the right of the decimal ex: pi

  12. Vocabulary Whole numbers, not including zero Numbers: 0, 1, 2, 3, 4, … Not fractions Whole positive numbers and their opposite negative numbers A number that can be made by dividing 2 integers, a ratio Can not be written as a ratio, has an infinite amount of non repeating digit to the right of the decimal ex: pi

  13. Vocabulary Whole numbers, not including zero Numbers: 0, 1, 2, 3, 4, … Not fractions Whole positive numbers and their opposite negative numbers A number that can be made by dividing 2 integers, a ratio Can not be written as a ratio, has an infinite amount of non-repeating digits to the right of the decimal ex: pi

  14. What do you know about these places?

  15. 0 2 1/2 ¾ -2 Severna Park 0.003

  16. 0 2 1/2 ¾ -2 Severna Park Anne Arundel County 0.003

  17. 0 2 1/2 ¾ -2 Maryland Severna Park Anne Arundel County 0.003

  18. 0 2 1/2 ¾ -2 Maryland Severna Park Texas Anne Arundel County 0.003

  19. 0 2 1/2 ¾ -2 USA Maryland Severna Park Texas Anne Arundel County 0.003

  20. 0 2 1/2 ¾ -2 π 4/9 -100 √4 -√13 √2 1 -8.4 7/2 17 -19/3 292 0.003

  21. 0.003 7/2 -2 -8.4 π -100 -19/3 √2 1 0 17 ¾ 292 -√13 √4 2 1/2 4/9

  22. -8.4 7/2 √2 ¾ 4/9 -√13 -100 0.003 0 √4 1 2 1/2 17 292 π -19/3 -2

  23. 7/2 -√13 √2 4/9 -8.4 -100 0 -2 √4 1 -19/3 ¾ 17 292 0.003 π 2 1/2

  24. 7/2 √2 4/9 -8.4 -100 -√13 0 -2 √4 1 π ¾ 17 292 0.003 -19/3 2 1/2

  25. 7/2 4/9 -8.4 √2 -100 -√13 0 -2 √4 1 ¾ 17 292 π 0.003 -19/3 2 1/2

  26. Directions: Write each number in the correct section below. Directions: Match each decimal with the correct fraction in simplest form. 12 4 ⅓ -7 √10 - 3.25 1.25 2 0 REAL NUMBERS iRRATIONAL RATIONAL INTEGER WHOLE COUNTING/ NATURAL

  27. Thursday 2/24

  28. Name- ________________________ Date- _________________________ Warm-Up Convert the following repeating decimals to a fraction in simplest form. = ________________ =_________________ =_________________ Round 2.6 to the nearest whole number. _____________ Round 3.915 to the nearest hundredth. ______________ Round 5.102 to the nearest hundredth. ______________ Determine if 0.84375 is rational or irrational and give a reason for your answer

  29. Round 2.6 to the nearest whole number. 3 Round 3.915 to the nearest hundredth. 3.92 Round 5.102 to the nearest hundredth. 5.10 The number 0.84375 is rational because it is a decimal that terminates.

  30. Top Ten Number Systems Vocabulary Use these terms and the notes from yesterday to complete your vocabulary worksheet. Counting (Natural) Number Fraction Integer Repeating Decimal Square Root Rational Number Terminating Decimal Irrational Number Whole Number Real Number

  31. Top Ten Number Systems Vocabulary Integer Fraction Repeating Decimal Terminating Decimal Square Root Counting/Natural# Whole Number Rational Number Irrational Number Real Number

  32. Rational and Irrational Numbers I can identify a number that is irrational. Clickhere to view the video.

  33. Absent for this lesson? Need more explanation? Check out the video at this link to see more! Click here to watch!

  34. Directions: • Complete each slide by dragging items to the correct location and/or by typing in the explanations. • You may use your notes from yesterday and today if necessary. • This assignment is a graded classwork, worth 10 points. Graded Assignment in Brightspace is due by the end of class (10 points) • Brightspace • Math • Content Folder • Number Systems 2/22-2/25 • 2/24 Graded Assignment- Number Systems

  35. Directions: • Complete each slide by dragging items to the correct location and/or by typing in the explanations. • You may use your notes from yesterday and today if necessary. • This assignment is a graded classwork, worth 10 points. Graded Assignment in Brightspace is due by the end of class (10 points) • Brightspace • Math • Content Folder • Number Systems • Rational vs. Irrational

  36. Graded Assignment Slides Located in Brightspace

  37. ½ 13 ½ 3 ⅞ 168 -9 5.5 25 0 -33 4.0 23 ¾ -7.0

  38. -1.5 0.85 -2 ⅓ 23% ⅘

  39. Explain your answer here:

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