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, …} Whole Numbers {0, 1, 2, 3, …} Integers {…, -2, -1, 0, 1, 2, …}

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

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

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

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

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

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

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

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

Vocabulary Absolute Value

Vocabulary Absolute Value Distance from 0

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

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

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

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

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

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

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

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

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