How many rational numbers and irrational numbers can be inserted between 2 and 3 ? -Maths 9th

How many rational numbers and irrational numbers can be inserted between 2 and 3 ? -Maths 9th
by

1 Answer

Answer :

There are infinite number of rational and irrational numbers between 2 and 3 .
by

Related questions

How many rational numbers and irrational numbers can be inserted between 2 and 3 ? -Maths 9th

Description : How many rational numbers and irrational numbers can be inserted between 2 and 3 ? -Maths 9th

Last Answer : There are infinite number of rational and irrational numbers between 2 and 3 .

Identify the following as rational or irrational numbers .Give the decimal representation of rational numbers. -Maths 9th

Description : Identify the following as rational or irrational numbers .Give the decimal representation of rational numbers. -Maths 9th

Last Answer : In this way we can represent a rational numbers

In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Description : In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Last Answer : Following are the rational numbers which represent irrational numbers .

Give two examples to show that the product of two irrational numbers may be a rational number . -Maths 9th

Description : Give two examples to show that the product of two irrational numbers may be a rational number . -Maths 9th

Last Answer : Take a = (2+ √3) and b =(2 - √3 ); a and b are irrational numbers, but their product = 4-3 = 1, is a rational number. Take c = √3 and d = -√3; c and d are irrational numbers. but their product = -3, is a rational number.

Examine , whether the following numbers are rational or irrational : -Maths 9th

Description : Examine , whether the following numbers are rational or irrational : -Maths 9th

Last Answer : ∴ It is an irrational number .

Examine whether the following numbers are rational or irrational: -Maths 9th

Description : Examine whether the following numbers are rational or irrational: -Maths 9th

Last Answer : 1 irrational no. 2 rational no. 3 irrational no.

Let x and y be rational and irrational numbers, respectively. -Maths 9th

Description : Let x and y be rational and irrational numbers, respectively. -Maths 9th

Last Answer : Yes, (x + y) is necessarily an irrational number.

Classify the following numbers as rational or irrational with justification . -Maths 9th

Description : Classify the following numbers as rational or irrational with justification . -Maths 9th

Last Answer : Classification of rational or irrational number with justification

Find which of the variables x, y, z and u represent rational numbers and which irrational numbers. -Maths 9th

Description : Find which of the variables x, y, z and u represent rational numbers and which irrational numbers. -Maths 9th

Last Answer : Rational number and irrational number

Identify the following as rational or irrational numbers .Give the decimal representation of rational numbers. -Maths 9th

Description : Identify the following as rational or irrational numbers .Give the decimal representation of rational numbers. -Maths 9th

Last Answer : In this way we can represent a rational numbers

In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Description : In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Last Answer : Following are the rational numbers which represent irrational numbers .

Give two examples to show that the product of two irrational numbers may be a rational number . -Maths 9th

Description : Give two examples to show that the product of two irrational numbers may be a rational number . -Maths 9th

Last Answer : Take a = (2+ √3) and b =(2 - √3 ); a and b are irrational numbers, but their product = 4-3 = 1, is a rational number. Take c = √3 and d = -√3; c and d are irrational numbers. but their product = -3, is a rational number.

Examine , whether the following numbers are rational or irrational : -Maths 9th

Description : Examine , whether the following numbers are rational or irrational : -Maths 9th

Last Answer : ∴ It is an irrational number .

Examine whether the following numbers are rational or irrational: -Maths 9th

Description : Examine whether the following numbers are rational or irrational: -Maths 9th

Last Answer : 1 irrational no. 2 rational no. 3 irrational no.

Let x and y be rational and irrational numbers, respectively. -Maths 9th

Description : Let x and y be rational and irrational numbers, respectively. -Maths 9th

Last Answer : Yes, (x + y) is necessarily an irrational number.

Classify the following numbers as rational or irrational with justification . -Maths 9th

Description : Classify the following numbers as rational or irrational with justification . -Maths 9th

Last Answer : Classification of rational or irrational number with justification

Find which of the variables x, y, z and u represent rational numbers and which irrational numbers. -Maths 9th

Description : Find which of the variables x, y, z and u represent rational numbers and which irrational numbers. -Maths 9th

Last Answer : Rational number and irrational number

Classify the following numbers as rational or irrational and give justification of your answer. -Maths 9th

Description : Classify the following numbers as rational or irrational and give justification of your answer. -Maths 9th

Last Answer : (i) 0.05918 is a rational number as decimal expansion is terminating. (ii)1.010010001.... is an irrational number as decimal expansion is non-terminating non-recurring(non-repeating). (iii) √9/27 = √1/3 = 1/ ... it is an irrational number. (iv) √12/75 = √4/25 = 2/5, which is a rational number.

Insert a rational and an irrational number between 2 and 3. -Maths 9th

Description : Insert a rational and an irrational number between 2 and 3. -Maths 9th

Last Answer : A rational number between 2 and 3 = 2 + 3 / 2 = 2.5 An irrational number between 2 and 3 is √5 .

Give an example to show that the product of a rational number and an irrational number may be a rational number . -Maths 9th

Description : Give an example to show that the product of a rational number and an irrational number may be a rational number . -Maths 9th

Last Answer : A rational number 0 multiplied by an irrational number gives the irrational number 0.

Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Description : Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Last Answer : No, (xy) is necessarily an irrational only when x ≠0. Let x be a non-zero rational and y be an irrational. Then, we have to show that xy be an irrational. If possible, let xy be a rational number. Since ... wrong. Hence, xy is an irrational number. But, when x = 0, then xy = 0, a rational number.

Insert a rational number and an irrational number between the following : -Maths 9th

Description : Insert a rational number and an irrational number between the following : -Maths 9th

Last Answer : We know that, there are infinitely many rational and irrational values between any two numbers. (i) A rational number between 2 and 3 is 2.1. To find an irrational number between 2 and 3. Find a ... and 6.375738 is 6.3753. An irrational number between 6.375289 and 6.375738 is 6.375414114111

Insert a rational and an irrational number between 2 and 3. -Maths 9th

Description : Insert a rational and an irrational number between 2 and 3. -Maths 9th

Last Answer : A rational number between 2 and 3 = 2 + 3 / 2 = 2.5 An irrational number between 2 and 3 is √5 .

Give an example to show that the product of a rational number and an irrational number may be a rational number . -Maths 9th

Description : Give an example to show that the product of a rational number and an irrational number may be a rational number . -Maths 9th

Last Answer : A rational number 0 multiplied by an irrational number gives the irrational number 0.

Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Description : Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example. -Maths 9th

Last Answer : No, (xy) is necessarily an irrational only when x ≠0. Let x be a non-zero rational and y be an irrational. Then, we have to show that xy be an irrational. If possible, let xy be a rational number. Since ... wrong. Hence, xy is an irrational number. But, when x = 0, then xy = 0, a rational number.

Insert a rational number and an irrational number between the following : -Maths 9th

Description : Insert a rational number and an irrational number between the following : -Maths 9th

Last Answer : We know that, there are infinitely many rational and irrational values between any two numbers. (i) A rational number between 2 and 3 is 2.1. To find an irrational number between 2 and 3. Find a ... and 6.375738 is 6.3753. An irrational number between 6.375289 and 6.375738 is 6.375414114111

Is 1÷17 rational or irrational? -Maths 9th

Description : Is 1÷17 rational or irrational? -Maths 9th

Last Answer : It is a rational number as it can be represented in the form of p/q where p is not equal to q and q is not 0.

(root2+3) - (root2 -5) it is rational or irrational -Maths 9th

Description : (root2+3) - (root2 -5) it is rational or irrational -Maths 9th

Last Answer : NEED ANSWER

Is 1÷17 rational or irrational? -Maths 9th

Description : Is 1÷17 rational or irrational? -Maths 9th

Last Answer : It is rational because the decimal is non terminating repeating.

(root2+3) - (root2 -5) it is rational or irrational -Maths 9th

Description : (root2+3) - (root2 -5) it is rational or irrational -Maths 9th

Last Answer : (√2+3) - (√2-5) Let the 2nd bracket open by minus. Then we'll get... √2+3-√2+5 From this, we can cancel √2 and -√2. It is because the sign of the first √2 is + and second √2 is -. [Eg: +1-1=0] Therefore, we'll get 3+5 = 8, which is a rational number.

Find two irrational numbers between ROOT 2 and ROOT 7. -Maths 9th

Description : Find two irrational numbers between ROOT 2 and ROOT 7. -Maths 9th

Last Answer : Root 3 root 5

Find two irrational numbers between 2 and 2.5 . -Maths 9th

Description : Find two irrational numbers between 2 and 2.5 . -Maths 9th

Last Answer : The two irrational numbers between 2 and 2.5 are 2.101001000100001----- and 2.201 001 0001 00001-----

Find two irrational numbers between 0.1 and 0.12. -Maths 9th

Description : Find two irrational numbers between 0.1 and 0.12. -Maths 9th

Last Answer : The two irrational numbers between 0.1 and 0.12 are 0.1 010010001--- and 0.1101001000100001 -----

Find three irrational numbers between 2 and 2.5 . -Maths 9th

Description : Find three irrational numbers between 2 and 2.5 . -Maths 9th

Last Answer : If a and b are any two distinct positive rational numbers such that ab is not a perfect square , then the irrational number √ab lies between a and b. ∴ Irrational number between 2 and 2.5 is √ 2 2.5 , i.e √5 Irrational number ... 2.5 are √5 , 2(1/2) 5(1/4) and (1/2) 5 3/4 21/2 .

Find two irrational numbers between ROOT 2 and ROOT 7. -Maths 9th

Description : Find two irrational numbers between ROOT 2 and ROOT 7. -Maths 9th

Last Answer : Root 3 root 5

Find two irrational numbers between 2 and 2.5 . -Maths 9th

Description : Find two irrational numbers between 2 and 2.5 . -Maths 9th

Last Answer : The two irrational numbers between 2 and 2.5 are 2.101001000100001----- and 2.201 001 0001 00001-----

Find two irrational numbers between 0.1 and 0.12. -Maths 9th

Description : Find two irrational numbers between 0.1 and 0.12. -Maths 9th

Last Answer : The two irrational numbers between 0.1 and 0.12 are 0.1 010010001--- and 0.1101001000100001 -----

Find three irrational numbers between 2 and 2.5 . -Maths 9th

Description : Find three irrational numbers between 2 and 2.5 . -Maths 9th

Last Answer : If a and b are any two distinct positive rational numbers such that ab is not a perfect square , then the irrational number √ab lies between a and b. ∴ Irrational number between 2 and 2.5 is √ 2 2.5 , i.e √5 Irrational number ... 2.5 are √5 , 2(1/2) 5(1/4) and (1/2) 5 3/4 21/2 .

Is the product of two irrational numbers always irrational ? Justify your answer. -Maths 9th

Description : Is the product of two irrational numbers always irrational ? Justify your answer. -Maths 9th

Last Answer : Solution :- No, sometimes rational,sometimes irrational.

Find the irrational numbers between 1/7 and 2/7. -Maths 9th

Description : Find the irrational numbers between 1/7 and 2/7. -Maths 9th

Last Answer : Solution :-

Give three rational numbers lying between 1 / 3 and 1 / 2. -Maths 9th

Description : Give three rational numbers lying between 1 / 3 and 1 / 2. -Maths 9th

Last Answer : The rational numbers lying between is 1 / 3 and 1 / 2 . Therefore , 1 / 3 < 3 / 8 < 1 / 2. Now . the rational number lying between 1 / 3 and 5 / 12 is Therefore , 5 /12 < 11 / 24 < 1 / 2.

Find three rational numbers lying between 0 and 0.1 . -Maths 9th

Description : Find three rational numbers lying between 0 and 0.1 . -Maths 9th

Last Answer : The three rational numbers lying between 0 and 0.1 are 001,005,009. The twenty rational numbers between 0 and 0.1 are 0.001 , 0.002, 0.003, 0.004,--- 0.011, 0.012,--- 0.099. To determine any ... 0 and 0.1 insert the square root of its product. i.e. The rational numbers between a and b is √a b .

Which of the following rational numbers have the terminating decimal representation? -Maths 9th

Description : Which of the following rational numbers have the terminating decimal representation? -Maths 9th

Last Answer : (i) The prime factor of 5 is 5. Hence 3 / 5 has a terminating decimal representation. (ii) 20 = 4 x 5 = 22 x 5. The prime factors of 20 are both 2's and 5's. Hence 7 / 20 has a ... a terminating decimal. (vi) The prime factor of 7 is 7. Hence 23 / 7 has a non-terminating decimal representation.

If a and b are two rational numbers, prove that a + b, a - b, ab are rational numbers. -Maths 9th

Description : If a and b are two rational numbers, prove that a + b, a - b, ab are rational numbers. -Maths 9th

Last Answer : In this way a / b is also a rational number.

Give two rational numbers lying between 0.232332333233332---- and 0.21211211121111---- -Maths 9th

Description : Give two rational numbers lying between 0.232332333233332---- and 0.21211211121111---- -Maths 9th

Last Answer : The two rational numbers are 0.222. and 0.221

Write the following rational numbers in decimal form : -Maths 9th

Description : Write the following rational numbers in decimal form : -Maths 9th

Last Answer : Following rational number in decimal form .

Find three rational numbers between -Maths 9th

Description : Find three rational numbers between -Maths 9th

Last Answer : Rational numbers

Give three rational numbers lying between 1 / 3 and 1 / 2. -Maths 9th

Description : Give three rational numbers lying between 1 / 3 and 1 / 2. -Maths 9th

Last Answer : The rational numbers lying between is 1 / 3 and 1 / 2 . Therefore , 1 / 3 < 3 / 8 < 1 / 2. Now . the rational number lying between 1 / 3 and 5 / 12 is Therefore , 5 /12 < 11 / 24 < 1 / 2.

Find three rational numbers lying between 0 and 0.1 . -Maths 9th

Description : Find three rational numbers lying between 0 and 0.1 . -Maths 9th

Last Answer : The three rational numbers lying between 0 and 0.1 are 001,005,009. The twenty rational numbers between 0 and 0.1 are 0.001 , 0.002, 0.003, 0.004,--- 0.011, 0.012,--- 0.099. To determine any ... 0 and 0.1 insert the square root of its product. i.e. The rational numbers between a and b is √a b .

Which of the following rational numbers have the terminating decimal representation? -Maths 9th

Description : Which of the following rational numbers have the terminating decimal representation? -Maths 9th

Last Answer : (i) The prime factor of 5 is 5. Hence 3 / 5 has a terminating decimal representation. (ii) 20 = 4 x 5 = 22 x 5. The prime factors of 20 are both 2's and 5's. Hence 7 / 20 has a ... a terminating decimal. (vi) The prime factor of 7 is 7. Hence 23 / 7 has a non-terminating decimal representation.