Question

if the fractions represented by the points P and R are multiplied what point on the number line best represents their product: M, S, N, P or T?

Answer 1

Here you can use maths but It's better to use logical reasoning (Easy to understand for you)

Let's solve

Given that P and R are multiplied .

P and R lies between 0 and 1 hence it's a fraction .

The segment of 0 and 1 has been divided into 5 parts so the co-ordinates are

• P=2/5
• R=3/5

These are not actual but these two are almost actual.

Find product

`\\ \sf\longmapsto PR`

`\\ \sf\longmapsto (2)/(5)* (3)/(5)`

`\\ \sf\longmapsto (6)/(5)`

Convert to mixed fraction

`\\ \sf\longmapsto1(1)/(5)`

It will lie between 1 and 2.

only T lies there so T is our answer

Answer 2

• Point N

Explanation:

Both the P and R represent a fraction between 0 and 1.

Their product is also a fraction between 0 and 1 but smaller than both of P and R.

Let the fractions be:

• 0 < 1/a < 1 and
• 0 < 1/b < 1

Then the product is 1/ab:

• 0 < 1/ab < 1/a
• 0 < 1/ab < 1/b

The matching point on the number line is N.