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Properties of Multiplication Zero property of multiplication Identity property of multiplication Commutative property of multiplication Associative property of multiplication Distributive property of multiplication

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Zero property of multiplication Think about this: 5+0=5 5x0=0 When we add the zero doesn’t do anything. However, when we multiply any number by zero, the product is zero.

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Identity property of multiplication Let see how different is addition from multiplication when adding one or multiplying by one: 8+1= 9 8x1= 8 Did you noticed that when we multiply any number by one, we get the same number?

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Commutative property of multiplication Let’s look at this: Do you think that the order matter when we multiply? Is it different 5x8 than 8x5? Just as with addition, when we multiply any two numbers, we get the same product regardless of the order. The order of the multiplier and the multiplicand doesn’t matter because we still get the same product.

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Associative property of multiplication Does grouping matter when we multiply several numbers? Let’s say (5x4)x7 or 5x(4x7). Would we end up with the same answer or will it be different? Yes, it will be the same. Grouping doesn't matter when we multiply several numbers. (5x4)x7= 140 and 5x(4x7)= 140

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Distributive property of multiplication This property connects multiplication to operations of addition and subtraction. For example: How many cans of soda are in three 24-cans cases? You could just add 24+24+24=72 You could represent the problem with base 10. you will count 6 tens and 12 ones, convert to 7 tens and two ones which give the answer of 72. This is how distribution works. We will see more about this property later.

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