Question

Which steps show how to use the distributive property to evaluate 6 times 49

A. 6(49) = 6(50-1) = 6.50 6.1 300

B. 6(49) = 6(50

1) 6.50

1 300

1299

C. 6(49)=6150 - 16.30

D. 6(19) =6150

1) = 6 to

500 1300 300

Answer 1

The distributive property can be used to evaluate 6 times 49 by rewriting 49 as (50 - 1) and then multiplying each term by 6, which gives a result of 294.

Step-by-step explanation:

To use the distributive property to evaluate 6 times 49, you can break down the number 49 into a combination of numbers that are easier to multiply with 6. The best option from the choices presented is to rewrite 49 as (50 - 1). Therefore, we can demonstrate the distributive property like this:

6(49) = 6(50 - 1) = 6×50 - 6×1 = 300 - 6 = 294

So, the correct steps to use the distributive property are:

6(49) = 6(50 - 1) = 6×50 - 6×1 = 300 - 6 = 294

Therefore, the correct answer from the provided options is:

B. 6(49) = 6(50 - 1) = 6×50 - 6×1 = 300 - 6 = 294

Answer 2

294

Step-by-step explanation:

The distributive property for multiplication is as follows :

a(b+c) = ab + ac

We need to evaluate 6 times 49 i.e. 6(49).

We can write 49 as (50-1)

6(50-1) = 6(50+(-1))

Here, a = 6, b = 50 and c = -1

So,

6(50+(-1)) = 6(50) + 6(-1)

= 300-6

= 294

So, answer is 294. Option (A) is somehow correct.