#### Factors of 20

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Factors of 20

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