Question

20 PTS!

Which situation is best modeled with a division expression?

finding the number of equal-sized parts into which a number can be split

finding the combined value of several different number

finding the distance between two numbers on a number line

finding the total value when several of the same number are grouped together

Answer 1

Finding the number of equal-sized parts into which a number can be split

Explanation:

The correct answer is - finding the number of equal-sized parts into which a number can be split.

Division is defined as the action of splitting something in equal parts.

So, here the first option states this definition.

Taking an example of: Lets divide 100 in 5 equal parts. So, this becomes

`(100)/(5)=20`

This can be also written like :
`20+20+20+20+20=100`

So, division is where you split something equally.

Answer 2

finding the number of equal-sized parts into which a number can be split

Explanation:

Let us split the number 80 into 10 equal parts.

80 = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

= 8 + 8 + 8 +...to 10 times

= 8(10)

or
`(80)/(10) =8`

So, if N is any number and p is one of its equal part, then the number of parts into which N is split by p is
`(N)/(p)`.

Hence, finding the number of equal-sized parts is best modeled with a division expression.