Question

What is another way to write -3 • (4 + 7)

A -3 • 4 + 7
B -3 • 4 • 7 ***
C -3 • 4 + 4 • 7
D -3 • 4 + (-3) • 7

Answer 1

Here is the distributive property of multiplication over addition

a(b + c) = ab + ac

Examples:

2(5 + 7) = 2 * 5 + 2 * 7

-4(8 + 5) = -4 * 8 + (-4) * 5

Follow the rule and the examples and apply the property to your problem.
What do you get?

Answer 2

D

Answer 3

Correct.

Answer 4

thanks

Answer 5

Here is a geometric explanation of the distributive law.

Answer 6

The large rectangle has length b + c.
Its width is a.
The area of the large rectangle is length times width, or a * (b + c),
or simply a(b + c).

The small rectangle to the left has length and width a and b and area ab.
The small rectangle to the right has length and width a and c and area ac.

The area of the large rectangle is equal to the sum of the areas of the two small rectangles, so

a(b + c) = ab + ac

Answer 7

You're welcome.