Rational Number...

What is the value of x in the two equivalent rational numbers and?

What is the sum of the three middle rational numbers if are arranged in descending order?

The product of two rational numbers is . If one of the numbers is , then what is the other number?

Which of the following statements is true for the rational number ?

Which of the following is/are correct?

(1)

(2)

Which of the following statements is/are true?

Consider the following statements (P) and (Q):
(P): The number 0 is neither a positive nor a negative rational number.
(Q): If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.

Which of the following options holds true?

If , then what is the value of ?

Fill in the blanks:

1) _______ numbers consist of all integers, fractions and zero.
2) There are _________ rational numbers between two rational numbers.
3) If a real number X added to –X is zero, then -X is known as the _______ inverse of X.

Which of the following subtractions is not in its simplest form?

Simplify:

Which of the following number lines correctly represents the rational number ^?

In which of the following options are the numbers arranged in ascending order?

Which of the following options represents equivalent rational numbers?

What will be the result if we divide the sum of and by the difference of and ?

A carton is to be filled with packs of spices, each weighing kg. The weight of the carton should not exceed kg. Find the largest number of packs of spices that can be put inside the carton.

Rohan brought a cake as it was the birthday of his friend. Riya ate of it, Priya ate of it and the rest of the cake was eaten by Rohan. What part of the cake has Rohan eaten?

A seminar was held in an auditorium consisting of doctors, engineers, lawyers and teachers. There were a total of 1500 people in the auditorium. If of the total people were doctors, of the total people were engineers , of the total people were lawyers and rest of the total people were teachers., then how many teachers were there?

Three shopkeepers P, Q and R buy kg of peanuts altogether. Then they divide it equally among them. How many kilograms of peanuts will shopkeeper P get?

Raman leaves for college from home and after covering km of distance, he realises that he has forgotten his wallet at home. So he goes back towards the home, but after covering km, his bike stops working due to some mechanical failure. How far away is he from his home now?

Match the following:

(1) On dividing the sum of and by the product of and , we get ______.	(a)
(2) Sahib spends th of his income. He spends rd of it on books, th on grocery and the rest on clothes. He spends ____ part on clothes.	(b) 12
(3) 64 shirts can be made from _______ metres of cloth if each shirt requires metres of cloth.	(c) 16
(4) Three bundles of potatoes weigh kg, kg and kg. The total weight of potatoes is ___ kg.	(d)

Which of the following statements is/are correct?

(1) The sum of the two rational numbers and is .

(2) is the smallest of the three rational numbers ^.

(3) While multiplying a rational number by a negative integer, we multiply the numerator by that integer, keeping the denominator unchanged.
(4) The product of a rational number and its reciprocal is always 1.

Consider the following statements and choose the correct option:

1. and are the equivalent forms of the rational numbers and , respectively.

2. Every integer and every whole number is a rational number.

State "True" or "False" for the following statements.

1. '0' is a positive rational number.
2. A rational number is said to be in the standard form if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.
3. All the rational numbers can be represented on a number line.

4. should be subtracted from so as to get

Fill in the blanks:

1. The division of a rational number by ____(P)____ is not defined.

2. ___(Q)___ should be added to so as to get ^.

3. If there are two rational numbers with a common denominator, then the rational number with the larger numerator is ____(R)____ than the other rational number.
4. To reduce the rational number to its standard form, we divide its numerator and denominator by their _____(S)____ ignoring the negative sign.