Question

Represent 8/5 and √20 on a number line

Answer 1

Answer:

I hope it will help you to solve your question

Answer 2

Concept-

A number line is a way of visually representing numbers on a straight line. The line is divided into several parts with a unit distance between them. By plotting a number on a number line, we can easily distinguish two numbers and compare them.

Given-

A fraction of the form p/q.

Find-

Plot the fraction 8/5 and √20 on a number line.

Solution-

Represents root of 20 on a number line-

PYTHAGORAS THEOREM

Theorem in geometry: the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.

FORMULA

The equation of the Pythagoras theorem is expressed as, c2 = a2 + b2

according to the query

We know the Pythagoras theorem as

The nearest perfect square less than the square root of (20) is 16

let c be the number we want to plot on the number line

then c = √20

then,

c = √a²+b²

√20 = √4²+b²

so b = 2

To plot the square root of (20) on the number line, follow these steps:-

Consider name 0 to be point O.

• Mark the point 4 units to the right of the number line. Label the point as A.
• Use a protractor to draw a line 2 units from point A perpendicular to the number line. Mark the point as B.
• Join the points O and B.
• Now the length of OB is the square root(20) by the Pythagoras theorem.
• Place the compass on OB and cut an arc on the number line, mark it as point C.
• Congratulations... you have represented the root (20) on the number line, which is nothing but the seg OC.

Represents 8/5 on the number line-

According to the question-

Step by step explanation:

In order to represent the given data in a number series, the data is in fractional form.

Simplifying them, we get

8/5 = 1.6

Now represent this rational number on the number line-

• draw a line
• Mark the point 0 in the center to represent 0,
• label negative integers to the left and positive integers to the right

Now the figure below shows a visual representation of the data

#SPJ2