Representation of Irrational Numbers on the Number Line

Q.

Locate $\sqrt{3}$ on the number line.

Q. Represent $\sqrt{2}$ on the number line.

Q.

$2\sqrt{3}+\sqrt{3}$ is equal to

Q.

Locate $\sqrt{10}$ on the number line.

Q. Locate $\sqrt{5}$ on the number line.

Q. Locate $\sqrt{5.6}$ on the number line

Q. Question 5
Locate $\sqrt{5},\sqrt{10}$ and $\sqrt{17}$ on the number line.

Q. $\text{If}\sqrt{2}=1.414,\sqrt{3}=1.732,\text{then find the value of}\frac{4}{3\sqrt{3}-2\sqrt{2}}+\frac{3}{3\sqrt{3}+2\sqrt{2}}.$

1. 
   2
2. 
   3
3. 
   5
4. 
   7

Q. Represent $\sqrt{2}$ & $\sqrt{3}$ on the number line

Q.

Every rational number is a real number. State whether the given statement is true or false. Justify.

Q. Locate $\sqrt{5.6}$ on the number line

Q. Represent the value of $\sqrt{4.3}$ geometrically on number line.

Q.

Represent $\sqrt{3.5},\sqrt{9.4}and\sqrt{10.5}$ on the real number line.

Q.

Represent $\sqrt{5},\sqrt{6}$ and $\sqrt{7}$ on the number line.

Q. Visualise 2.665 on the number line, using successive magnification.

Q. Represent $\sqrt{9.3}$ on the number line.

Q.

Insert two irrational numbers between $5$ and $6$.

Q.

Question 3
Show how $\sqrt{5}$ can be represented on the number line.

Q.

Find two irrational and two rational numbers between 2 & 3. [4 MARKS]

Q. Which of the following irrational numbers is represented by CE on the given number line?

1. $\sqrt{7.4}$
2. $\sqrt{8.4}-1$
3. $\sqrt{8.4}+1$
4. $\sqrt{8.4}$

Q.

Visualize $2.665$ on the number line, using successive magnification.

Q.

Question 4
Represent $\sqrt{9.3}$ on the number line.

Q. Check whether $\sqrt{2}$+25 is an irrational numbers or not.

1. $\sqrt{2}$+25 is whole number.
2. $\sqrt{2}$+25 is an irrational number.
3. $\sqrt{2}$+25 is an integer.
4. $\sqrt{2}$+25 is a rational number.

Q. Locate $\sqrt{17}$ on the number line.

Q. An irrational number, D is marked on the number line as shown in the figure. The value of CD is ________.

Q.

The rational numbers $\frac{1}{2}$ and $-1$ are on the opposite sides of zero on the number line.
State whether the statement is true (T) or false (F).

1. True
2. False

Q. Represent the value of $\sqrt{4.3}$ geometrically on number line.

Q.

Visualise the representation of $5.3\overline{7}$ on the number line upto 5 decimal places, that is upto 5.37777.

Q. Locate $\sqrt{17}$ on the number line.

Q.

The rational number $\frac{-8}{-3}$ lies neither to the right nor to the left of zero on the number line. State whether the statement is true (T) or false (F).

1. True
2. False