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### Grade 6 - Mathematics3.14 Multiplicative Identity and Multiplicative Inverse

 If a/b is a rational number then a/b x 0 = 0 x a/b = 0. Example: 7/3 x 0 = (7x0)/3 = 0/3 = 0 Multiplicative Identity: If a/b is a rational number then 1 x a/b = a/b x 1 = a/b Example: 3/5 x 1 = 1 x 3/5 = 3/5 Therefore, one is the identity element for multiplication in rational number. Multiplicative Inverse: For every rational a/b (a, b are not equal to zero), there will be a rational number b/a is such that a/b x b/a = 1 If the product of two numbers is one, we say that each number is the multiplicative inverse of the other. Example: 2/3 x 3/2 = (2x3)/(3x2) = 6/6 = 1 Directions: Answer the following questions and write the answer without simplifying. Also write at least 10 examples of your own.
 Q 1: a/b x b/a = _____ ?Answer: Q 2: 0 x -7/8 = _____ ?Answer: Q 3: 1 x a/b = a/b x 1 = _____ ?Answer: Q 4: 6/8 x 8/6 = _____ ?Answer: Q 5: 5/7 x 7/5 = _____ ?Answer: Q 6: 5/7 x 1 = _____ ?Answer: Q 7: 1 x -7/8 = _____ ?Answer: Q 8: 50/3 x 0 = _____ ?Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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