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### Grade 6 - Mathematics1.14 Properties of Whole Numbers (Multiplication)

 Closure Property: For any two whole numbers a and b, their product a*b is also a whole number. Example: 10*9 = 90 Commutative Property: For any two numbers a and b, a*b = b*a. Example: 9*13 = 13*9 =117 Associative Property: For any three whole numbers a, b, and c, a*(b*c) = (a*b)*c. Example: 4*(5*6) = (4*5)*6 = 120 Multiplicative Identity: For any whole number a, a*1 = 1*a = a. Here 1 is called the multiplicative identity in the set of all whole numbers. Example: 1*11 = 11. Distributive Property of Multiplication Over Addition: For any three whole numbers a, b, and c, a*(b+c) = a*b + a*c. Example: 3*(5+20) = 3*5 + 3*20 = 75 Directions: Chose the correct answer. Also write at least 5 examples of your own for each property.
 Q 1: Distributive Property for any three whole numbers a, b, and c.a*(b*c) = (a*b) * (a*c)a*(b*c) = (a*b) + (a*c)a*(b+c) = (a*b) + (a*c) Q 2: 3*(4*5) = (3*4)*5This is an example of the ________ of whole numbers.Commutative Property of MultiplicationAssociative Property of MultiplicationClosure Property of Multiplication Q 3: 5*3=15Name the above property.Closure Property of MultiplicationCommutative Property of MultiplicationAssociative Property of Multiplication Q 4: By multiplying any whole number by ____, we get back the original number.21a Q 5: a*(b*c) = (a*b)*cName the above property.Associative Property of MultiplicationCommutative Property of MultiplicationClosure Property of Multiplication Q 6: Select an example of the Associative Property of Multiplication.10*15 = 15*10 = 1505*(6*7) = (5*6)*7 = 21010*5 = 50 Q 7: For any whole number a, a*1 = _____=_____?a*1, 11*a, aNone of these Q 8: Which is the Multiplicative Identity in the set of whole numbers?1a02 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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