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Learn how to multiply whole numbers and calculate area, including the properties of multiplication and practical examples. Discover the concepts of repeated addition, factors, products, and properties of 0, 1, commutative, associative, and distributive. See how to find the area of rectangles, with helpful hints and explanations.
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Multiplication 4 + 4 + 4 + 4 + 4 = 5 ∙ 4 = 20 5 fours factor product Multiplication is repeated addition with a different notation.
Multiplication Property of 0 The product of 0 and any number is 0. 9 0 = 0 0 6 = 0
Multiplication Property of 1 The product of 1 and any number is that same number. 9 1 = 9 1 6 = 6
Commutative Property of Multiplication Changing the order of two factors does not change their product. 6 • 3 = 18 and 3 •6 = 18
Associative Property of Multiplication Changing the grouping of factors does not change their product. 5 • ( 2 • 3) = 5 • 6 = 30 and (5 • 2) • 3 = 10 • 3 = 30
Distributive Property Multiplication distributes over addition. 5(3 + 4) = 5 • 3 + 5 • 4
Area 1 square inch 1 1 5 inches 3 inches Area of a rectangle = length width = (5 inches)(3 inches) = 15 square inches
Helpful Hint 5 inches Perimeter = 5 inches + 4 inches + 5 inches + 4 inches = 18 inches Rectangle 4 inches Remember that perimeter(distance around a plane figure) is measured in units. Area (space enclosed by a plane figure) is measured in square units. Area = (5 inches)(4 inches) = 20 square inches
There are several words or phrases that indicate the operation of multiplication. Some of these are as follows: Multiplication Words