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Algebra 1 Notes: Lesson 2-2 Rational Numbers. Visualize or Draw a Number line to help + means right - means left. Example 1 Add: 6 + (-14). Example 1 Add: 6 + (-14) = -8 -¾ + (-½). Example 1 Add: 6 + (-14) = -8 -¾ + (-½) = -1¼. Subtraction of Rational Numbers
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Visualize or Draw a Number line to help + means right - means left
Example 1 • Add: • 6 + (-14)
Example 1 • Add: • 6 + (-14) = -8 • -¾ + (-½)
Example 1 • Add: • 6 + (-14) = -8 • -¾ + (-½) = -1¼
Subtraction of Rational Numbers To subtract a rational number, add its additive inverse. 8 – 15 = 8 + (-15) -7.6 – 12.3 = -7.6 + (-12.3)
Example 2 • Rewrite as an addition problem, then add: • -19 – 8
Example 2 • Rewrite as an addition problem, then add: • -19 – 8 = -19 + (-8)
Example 2 • Rewrite as an addition problem, then add: • -19 – 8 = -19 + (-8) = -27 • 67.1 – (-38.2)
Example 2 • Rewrite as an addition problem, then add: • -19 – 8 = -19 + (-8) = -27 • 67.1 – (-38.2) = 67.1 + 38.2
Example 2 • Rewrite as an addition problem, then add: • -19 – 8 = -19 + (-8) = -27 • 67.1 – (-38.2) = 67.1 + 38.2 = 105.3
Multiplication and Division of Integers Same Signs Multiply or divide as usual; the solution is positive. Different Signs Multiply or divide as usual; the solution is negative.
Example 3 • Multiply or Divide: • (-8)(-6)
Example 3 • Multiply or Divide: • (-8)(-6) = 48 • -108 18
Example 3 • Multiply or Divide: • (-8)(-6) = 48 • -108 =-6 18
Example 4 Simplify:
Example 5 Simplify:
Assignment Worksheet: Rational Numbers