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CC Math I Standards I. RATIONAL NUMBERS: NUMERATOR DENOMINATOR PRACTICE: Identify the rational numbers and write each rational in a fraction form. 13 8) 3 4 9) 0.333… 1) 3 5) 2) .111259877896635… 6) 3) 0.25 7) 2 3 4) II. 0 10) – 5 11) – 0.05 SIMPLIFYING (reducing) A RATIONAL NUMBER FACTORS are numbers that multiply together to equal a value. Examples: 15 has factors of 3 and 5 because 3*5 = 15 12 has factors of 2 and 6 because 2*6 = 12, AND factors of 3 and 4 because 3*4 = 12 To Simplify or Reduce a rational number: Find common factors of the numerator (top) and denominator (bottom) EXAMPLES: 30 (1) 40 (2) III. 35 25 (3) 14 49 (5) 11 17 (4) 36 72 (6) 42 144 COMPARING RATIONAL NUMBERS: ORDERING from LEAST to GREATEST. Method One: Find the ___________________ of each rational number to compare. 2 1 1 ,0.6, , ,1.2 Example: 3 4 2 Method Two: Make every rational you are comparing have a _____________ denominator and the fraction with the _______________ numerator is the greatest. Example: 6 4 5 , , 5 3 4 PRACTICE: Write in order from least to greatest. 5 7 3 2 1 2 1) , , 2) , , 6 8 4 3 2 7 4) IV. 1) 3 1 , ,0 .8 4 5 3) 1 4 1 , , 3 5 6 1 6) ,.07,1.3 2 5) 0.125,0.4,.4 ADDING AND SUBTRACTING RATIONAL NUMBERS Step 1: Find COMMON DENOMINATOR for fractions Step 2: Add and Subtract the NUMERATORS ONLY Decimal numbers can be added or subtracted normally 2 3 5 10 2) 3 5 6 4 3) 1 1 3 2 8 4 6) 7.9 8.05 4 5 7 7) 3 8 3 8) 1 2 7 9 4) 6.2 ( 9.4) 9) 1 5 3 9 5) 1.5 2.93 10) 6.81 ( 4.65) 5.37 CC Math I Standards Name: ___________________________________ Period: _____ RATIONAL NUMBER HOMEWORK Section 1: Integer Math Practice 1) 13 + -12 6) -12 + ( -7) 11) -34 ÷ 2 2) -5 + 6 7) 8 * 8 3) 3 – (-7) 8) -5 * 7 12) 54 ÷ 9 13) -18 ÷ -6 4) -7 – (- 3) 9) (-3) (-4) 14) 36 ÷ -3 5) (-6) – 8 10) -2 * -11 Section 2: Simplify the given Fractions 36 14 3) 1) 54 35 2) 68 12 4) 18 63 Section 3: Add or Subtract Rational Numbers 9 2 1 1 1) 3) 15 15 5 7 3 3 2) 4 2 4) 5 2 12 3 5) 125 55 6) 72 6 5) 2 1 18 6 7 4 1 6) 5 3 2