Two fifth graders solved 400,000 divided by 800. carter said the answer is 500, while kim said the answer is 5,000.
a. who has the correct answer? explain your thinking.
b. what if the problem is 4,000,000 divided by 8,000? what is the quotient?

a. Carter is correct. (See explanation).

b. The quotient is (The quotient of divided by and the quotient of  is divided by are equal).

Step-by-step explanation:

a. Carter is correct.

The dividend  and the divisor have two zeros in common, so we can eliminate those zeros. Then:

We know that the quotient obtained by dividing and is :

 Since has two more zeros than , we must place two zeros in the quotient. Then:

b. The dividend  and the divisor have three zeros in common, so we can eliminate those zeros. Then:

Notice that this is the same as the exercise "a". So the quotient will be the same.

Let's check. We know that:

 Since has two more zeros than , we must place two zeros in the quotient. This is:

a) Carter

b)500

Step-by-step explanation:

a)

Correct

 800)400,000(500

         400,000

               0

When 400,000 divided by 800 then we will get 500.

So Carter answer is correct and Kim answer is wrong.

b)

 8,000)4,000,000(500

            4,000,000

                 0

Here quotient is 500 and remainder is 0.

So the  quotient is 500.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

faster, im not sure why but i know it is faster