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### Grade 6 - Mathematics3.7 Properties of Rational Numbers (Addition)

 Closure Property: For any two rational numbers a/b and c/d, their sum (a/b+c/d) is also a rational number. Example: 5/8 + 6/8 = (5+6)/8 = 11/8 Commutative Property: For any two rational numbers a/b and c/d, (a/b+c/d) = (c/d+a/b), where a, b, c, d are integers and b and d are not equal to zero. Example: 5/8 + 6/8 = 6/8 + 5/8 = (5+6)/8 = 11/8 Associative Property: For any three rational numbers a/b, c/d, and e/f, a/b+(c/d+e/f) = (a/b+c/d)+e/f, where a, b, c, d, e, and f are integers, and b, d, and f are not equal to zero. Example: 5/6 + (7/2 + 8/6) = (5/6 + 7/2) + 8/6 = 20/6 Directions: Solve the following addition problems and write your answers without simplifying. Also write at least 10 examples of your own.
 Q 1: 7/8 + 9/8 = _____?Answer: Q 2: 7/2 + 5/4 + 3/8 = _____?Answer: Q 3: Commutative property holds for addition of rational numbers.FalseTrue Q 4: 21/8 + 26/10 = 26/10 + 21/8 is this statement correct?TrueFalse Q 5: 7/8 + (9/10 + 6/12) = (7/8 + 9/10) + 6/12 is this statement correct?TrueFalse Q 6: 7/8 + 6/8 + 5/8 = _____?Answer: Q 7: Closure property holds for the addition of rational numbers.TrueFalse Q 8: 25/8 + 35/8 = _____?Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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