Question

Use the Distributive
Property to find 1/3 x 6 1/2

Answer 1

The distributive property states that for any numbers a, b, and c:

a x (b + c) = a x b + a x c

To apply this property to 1/3 x 6 1/2, we can rewrite 6 1/2 as the sum of 6 and 1/2:

1/3 x 6 1/2 = 1/3 x (6 + 1/2)

We can then use the distributive property to distribute 1/3 to each term inside the parentheses:

1/3 x (6 + 1/2) = 1/3 x 6 + 1/3 x 1/2

Simplifying this expression, we get:

1/3 x 6 + 1/3 x 1/2 = 2 + 1/6

Therefore, 1/3 x 6 1/2 = 2 1/6.