Which equation demonstrates the distributive property?
Responses
A 55 + 22 = 7755 + 22 = 77
B 55 + 22 = 11(5 + 2)55 + 22 = 11(5 + 2)
C 55 x 22 = 22 x 5555 x 22 = 22 x 55
D (5 + 2)11 = 11(5 + 2)
B 55 + 22 = 11(5 + 2)55 + 22 = 11(5 + 2)
The equation that demonstrates the distributive property is option B: 55 + 22 = 11(5 + 2).
The equation that demonstrates the distributive property is option B: 55 + 22 = 11(5 + 2).
To understand why this equation represents the distributive property, let's break it down. The distributive property states that when you have a number outside parentheses multiplied by the sum inside the parentheses, you can distribute the multiplication to each term inside the parentheses.
In the given equation, the number 11 is outside the parentheses and is being multiplied by the sum (5 + 2) inside the parentheses. By applying the distributive property, we can distribute the multiplication to each term inside the parentheses.
Breaking it down further:
11 * 5 = 55
11 * 2 = 22
So, the left side of the equation becomes:
55 + 22
Which simplifies to:
77
Hence, the equation 55 + 22 = 11(5 + 2) demonstrates the distributive property.