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Use the GCF and the Distributive Property to find the sum of 38 + 57

User Anga
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1 Answer

6 votes

Answer:

95

Explanation:

You want the sum of 38 and 57 by making use of the GCF and the distributive property.

GCF

The GCF of two numbers can be found by looking at their difference (or their remainder when one divides the other). Here, that is ...

57 -38 = 19

This value is a factor of both numbers, so is their GCF.

Distributive property

The distributive property tells us how to express the sum with the GCF factored out:

38 +57 = 19(2 +3)

Then the sum is ...

19(2 +3) = 19(5) = 95

The sum is 95.

User Druckermann
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