the number sentence 4x7=(4x3) (4x4) is an example of what property
The correct number sentence should be to make it true: 47=(43)+(4*4)
and this is an example of distributive property of multiplication.
The correct answer is:
This is the distributive property of multiplication over addition.
Explanation:
The distributive property states that you can "distribute" multiplication to two factors of a number. Algebraically, it is written as a(b+c) = ab+ac.
In this problem, 7 is broken into 3+4. This makes 4(7) = 4(3+4). Using the distributive property, we have 4(3) + 4(4).