Number Line

Q. Two irrational numbers between 5 and 6 are

1. $\sqrt{35}$ and $\sqrt{37}$
2. $\sqrt{29}$ and $\sqrt{30}$
3. None of these.
4. $\sqrt{24}$ and $\sqrt{26}$

Q.

Can we represent -π through number line.If so how?

Q.

Every point on the number line represents?

Q.

Find an irrational number between 3 & 5.

1. √6

2. √15

3. √7

4. √16

Q. How to represent 2√2 on the number line if its whole number value is not known? Write the steps and diagramatically show how to draw it.

Q.

From the options, choose the irrational number(s) that lie between 4 & 9.

1. √36

2. √31

3. 7

4. √25

Q. Recall, $\pi$ is defined as the ratio of the circumference(say c) of a circle to its diameter(say d). That is, $\pi =\frac{c}{d}$. This seems to contradict the fact that $\pi$ is irrational. How will you resolve this contradiction?

Q.

Show howcan be represented on the number line.

Q.

If a and b are 2 numbers such that ab is not a perfect square , then $\sqrt{ab}$ is an irrational number lying between the 2 numbers.

1. True

2. False

Q. Represent the numbers $\sqrt{5}$ and $\sqrt{10}$ on a number line .

Q.

The given figure shows a number line such that AB = BC = CD = DE = EF = FG, and VW = WX = XY = YZ.

What is the sum of the rational numbers denoted by points D and Y?

1. 

2. 

3. 

4. 

Q.

Question 2
Visualize $4.\overline{26}$ on the number line, up to 4 decimal places.

Q. How to locate √2 - 1 on number line?

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

Q. How to draw √12 on number line??

Q. Represent √9.3 on a number line

Q. Represent 3.765 on the number line.

Q.

Which of the following statements are incorrect?

1. zero is a natural number

2. -1 is a whole number

3. All of these

4. 6.5 is an integer

Q. A line $y=mx+1$ is parallel to a line $3x+y+1=0$ when $m=a$ and perpendicular to the same line when $m=b$. Find the product of $a$ and $b$.

1. -1

Q. Two vertices of an equilateral triangle are (-1, 0) and (1, 0) and its third vertex lies above the x axis. The equation of circumcircle i

Q.

Represent $\frac{1}{2}$ & $\frac{-1}{2}$ on a number line. Also represent the point which exactly lies in middle of -1 and 1. [3 MARKS]

Q.

On a particular number line, the position of each number on it will be unique. Is this statement true or false?

1. True

2. False

Q. Find the reduced form of the ratio of the first quantity to second quantity.
7 minutes 20 seconds, 5 minutes 6 seconds

Q. Every point on a number line represents :

1. A unique number
2. A rational number
3. A natural number
4. An irrational number

Q.

Find 3 irrational numbers between 4 & 5. [2 MARKS]

Q.

Which point on the number line best represents the number 2.83?

1. M

2. N

3. P

4. Q

Q. locate 3 + \sqrt{3} on a number line.

Q.

what is natural number

Q. Draw 32 on an number line

Q. Find two irrational numbers between 5 and 6.