Represent √9.3 on the number line.

>

>

Chapter 1

NCERT

Class 9

Mathematics

Solutions

4. Represent √9.3 on the number line.

Promo GIF

Question:

Represent √9.3 on the number line.

Answer:

To represent √9.3 on the number line first draw a line and take a point A on it and take another point B on it which is at a distance of 9.3 units from point A i.e., now AB = 9.3 units. Another point C is marked at a distance of 1 unit from point B. Now bisect the line AC and find the point O. Now taking O as centre and OC as radius draw a semicircle. Now draw a perpendicular to AC which passes through B and intersects the semicircle at D. Thus, obtained is BD = √9.3 . Draw an arc with centre B and radius BD, which intersects the number line at point E, then the point E represents √9.3.

More NCERT Questions

Download Free PDF

(All Q's of this Chapter solved)

question pointer

Simplify : (i) 2^1/3.2 ^1/5

question pointer

Find : (i) 9^3/2

question pointer

Find : (i) 64 1/2

question pointer

Rationalise the denominators each of the following :

question pointer

Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π = c/d . This seems to contradict the fact that π is irrational. How will you resolve this contradiction ?

question pointer

Simplify each of the following expressions :

question pointer

Classify the following numbers as rational or irrational: (i) 2 − √5

question pointer

Classify the following numbers as rational or irrational :

question pointer

Find three different irrational numbers between the rational numbers 5/7 and 9/11 .

question pointer

Write three numbers whose decimal expansions are non-terminating non-recurring.

question pointer

Look at several examples of rational numbers in the form p/q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions).

question pointer

What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17 ? Perform the division to check your answer.

question pointer

Express 0.999999.... in the form p/q . Are you surprised by your answer ? With your teacher and classmates discuss why the answer makes sense ?

question pointer

Express the following in the form p/q , where p and q are integers and q ≠ 0 :

question pointer

You know that 1/7 = 0.142857 . Can you predict what the decimal expansions of 2/7 , 3/7 , 4/7 , 5/7 , 6/7 are, without actually doing the long division ? If yes, how ?

question pointer

Write the following in decimal form and say what kind of decimal expansion each has :

question pointer

Classroom activity (Constructing the ‘square root spiral’) : Take a large sheet of paper and construct the ‘square root spiral’ in the following fashion.

question pointer

Show how √5 can be represented on the number line.

question pointer

Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

question pointer

State whether the following statements are true or false. Justify your answer.

question pointer

State whether the following statements are true or false. Give reasons for your answers.

question pointer

3. Find five rational numbers between 3/5 and 4/5.

question pointer

Find six rational numbers between 3 and 4.

question pointer

Is zero a rational number ? Can you write it in the form p q , where p and q are integers and q ≠ 0 ?

Buy Latest Books

Teacher's Corner