3(4+5+6)=(3*4+3*5+3*6)=45
3(4+5+6)=3(15)=45
What are the ways to calculate these equations with distributive property?
I think the answer to both would be that they used the inverse operation and used more numbers to get the answer that they got.
this is for my notes only
the first way involves distributing the 3 through the parenthesized expression.
The second just illustrates the order of evaluation (inside the parens first), and has nothing to do with the distributive property.
To calculate the equations using the distributive property, you would need to apply the distributive property of multiplication over addition. The distributive property states that for any numbers a, b, and c:
a * (b + c) = a * b + a * c
Let's break down each equation using the distributive property:
1. 3(4 + 5 + 6) = 3 * 4 + 3 * 5 + 3 * 6
Applying the distributive property to each term inside the parentheses:
= 3 * 4 + 3 * 5 + 3 * 6
= 12 + 15 + 18
= 45
2. 3(4 + 5 + 6) = 3(15)
Again, applying the distributive property to the term inside the parentheses:
= 3 * 15
= 45
In both cases, we obtain the same result of 45 using the distributive property. The distributive property allows us to distribute the multiplication operation to each term inside the parentheses.