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Algebra 1 Notes: Lesson 2-1 Rational Numbers on the Number Line

Algebra 1 Notes: Lesson 2-1 Rational Numbers on the Number Line. Vocabulary Natural Numbers. Vocabulary Natural Numbers {1, 2, 3, …} Whole Numbers . Vocabulary Natural Numbers {1, 2, 3, …} Whole Numbers {0, 1, 2, 3, …} Integers . Vocabulary Natural Numbers {1, 2, 3, …}

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Algebra 1 Notes: Lesson 2-1 Rational Numbers on the Number Line

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  1. Algebra 1 Notes:Lesson 2-1Rational Numbers on the Number Line

  2. Vocabulary • Natural Numbers

  3. Vocabulary • Natural Numbers{1, 2, 3, …} • Whole Numbers

  4. Vocabulary • Natural Numbers{1, 2, 3, …} • Whole Numbers {0, 1, 2, 3, …} • Integers

  5. Vocabulary • Natural Numbers{1, 2, 3, …} • Whole Numbers {0, 1, 2, 3, …} • Integers {…, -2, -1, 0, 1, 2, …}

  6. Rational Numbers Anything that CAN be written as a fraction. Integers Fractions Decimals

  7. Example 1 Name the coordinates of the points graphed on the number line. {-7, 1, 6} -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  8. Example 2 Name the coordinates of the points graphed on the number line. {8, 9, 10, …} -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  9. Example 3 Graph the following set of numbers on a number line: {integers less than -6 or greater than or equal to 1} -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  10. Example 3 Graph the following set of numbers on a number line. {integers less than -6 or greater than or equal to 1} -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  11. Example 3 Graph the following set of numbers on a number line. {integers less than -6 or greater than or equal to 1} -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  12. Example 3 Graph the following set of numbers on a number line. {integers less than -6 or greater than or equal to 1} -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  13. Example 3 Graph the following set of numbers on a number line. {integers less than -6 or greater than or equal to 1} -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

  14. Vocabulary • Absolute Value

  15. Vocabulary • Absolute Value • Distance from 0

  16. Example 4 • Find each absolute value. • |0.25| • 0.25 • b) |-¾| • ¾

  17. Example 5 Evaluate: |y – 8| + 5 if y = 12 |12 – 8| + 5

  18. Example 5 Evaluate: |y – 8| + 5 if y = 12 |12 – 8| + 5 |4| + 5

  19. Example 5 Evaluate: |y – 8| + 5 if y = 12 |12 – 8| + 5 |4| + 5 4 + 5

  20. Example 5 Evaluate: |y – 8| + 5 if y = 12 |12 – 8| + 5 |4| + 5 4 + 5 9

  21. Example 5 Evaluate: |y – 8| + 5 if y = 12 |12 – 8| + 5 |4| + 5 4 + 5 9

  22. Try on your own |2 - x| - 7 x = 5

  23. Try on your own |2 - x| - 7 x = 5 Can it be negative???

  24. Assignment Pg. 71: 18-56 (even) and 57

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