The Distributive Property Standard Use the distributive property
The Distributive Property Standard: Use the distributive property to express a sum of two whole numbers 1 – 100 with a common factor as a multiple of a sum of two whole numbers with no common factor. I Can Goal: I can apply the Distributive Property to rewrite addition problems by factoring out the Greatest Common Factor.
Distributive Property A paperboy delivers or distributes newspapers to everyone who signs up to receive them. ( + OR + )
Distributive Property We can use the same idea with numbers. 20+24 Steps to Solve: 1. Find the factors of each number. Factors of 20: 1, 2, 4, 5, 10, 20 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Distributive Property We can use the same idea with numbers. 20+24 Steps to Solve: 2. Find the GCF. Factors of 20: 1, 2, 4, 5, 10, 20 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Distributive Property We can use the same idea with numbers. 20+24 = 4(5 +6) Steps to Solve: 3. Pull out the GCF. Factors of 20: 1, 2, 4, 5, 10, 20 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Distributive Property BUT, do they give the same answer? 20 + 24 =44 OR YES! 4(5 +6) 20+24 =44
Distributive Property We can also model the expression. 4(5 +6) 5 4 6 + 11
Distributive Property Let’s Practice 12 + 20 Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 20: 1, 2, 4, 5, 10, 20 GCF (12, 20) = 4 12 + 20 = ___(__) 4 3 + ___ 4 (__) 5 4 (____ 3 + ____) 5 = ___
3 1. 4 5
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