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Multiplication Whole Numbers I Teacher’s Quality Grant

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Multiplication Basic Problem Joe has 4 friends, he receives 3 marbles from each of his friends. How many marbles does Joe receive in total.

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What is Multiplication? 3 x 4? 3 + 3 + 3 + 3 6 + 6 12

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What is Multiplication? Multiplication of 2 numbers a and b, written as a × b, is actually a repeated addition of the number a over b times. Example : 3 × 4 = 4 times of 3 = 3+ 3+ 3 + 3 = 12

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What is Multiplication? When you multiply, you join equal-sized groups

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Example Each car (#2) holds 4 people. How many people can go on the train ride? 3 X4

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Multiplication by Array How can one represent 4 x 5 using a grid?

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Multiplication by Array (cont.) 20 shaded squares in the grid represent 4 x 5 = 20 4 5

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Multiplication Table 0123456789 0 000000000 10123456789 2024681012141618 30369121518212427 404812162024283236 5051015202530354045 6061218243036424854 7071421283542495663 8081624324048566472 9091827364554637281 How can one calculate 4 x 5 using a the multiplication table?

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Multiplication Table (cont.) 0123456789 0 000000000 10123456789 2024681012141618 30369121518212427 404812162024283236 5051015202530354045 6061218243036424854 7071421283542495663 8081624324048566472 9091827364554637281 How can one calculate 4 x 5 using a the multiplication table? 4 5

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Multiplication Facts Doubles 2 * 7 = 7 * 2 = 7 + 7 = 14 Fives 5, 10, 15, 20, 25, 30, 35, … Nines 09, 18, 27, 36, … (add one to tens and subtract one to ones) Zeros and Ones Any number multiplied by one stays the same Any number multiplied by zero is always zero

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Terminology 15X 2 The first number in the multiplication is called the multiplicand, The second number is called the multiplier, and the answer is called the product.

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Multiplication Properties There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties. Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example 4 * 2 = 2 * 4 Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. For example (2 * 3) * 4 = 2 * (3 * 4)

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Multiplication Properties (cont.) Multiplicative Identity Property: The product of any number and one is that number. For example 5 * 1 = 5. Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3

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Final Multiplication Problem Pablo wants to replace the floor tiles in his bathroom. His bathroom measures 6 feet by 7 feet. If he uses square tiles that measure 1 foot by 1 foot, how many tiles will Pablo need to complete this job?

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