Find the five rational number between 1 3 and - 1 4

We are given to find five rational numbers between 1 4 and 1 3 . We know that a rational number lying between two rational numbers a and b is given by 1 2 a + b . So, one rational number lying between 1 3 and - 1 4 is 1 2 1 3 + - 1 4 = 1 2 4 - 3 12 = 1 2 × 1 12 = 1 24 . One rational number lying between 1 4 and 1 24 is 1 2 1 4 + 1 24 = 1 2 6 + 4 24 = 1 2 × 10 24 = 5 24 . One rational number lying between 1 4 and 13 48 is 1 2 1 4 + 5 24 = 1 2 6 + 5 24 = 1 2 × 11 24 = 11 48 . One rational number lying between 1 24 and - 1 4 is 1 2 1 24 + - 1 4 = 1 2 1 - 6 24 = 1 2 × - 5 24 = - 5 48 . One rational number lying between - 5 48 and - 1 4 is 1 2 - 5 48 + - 1 4 = 1 2 - 5 - 12 48 = 1 2 × - 17 48 = - 17 96 . Therefore, five rational numbers between 1 3 and - 1 4 are 1 24 , 5 24 , 11 48 , - 5 48 and - 17 96 .

Find the seven rational number between - 7 9 and - 1 3

Rational number is considered as a number in mathematics that can be significantly expressed as a fraction or the quotient between a numerator and a denominator. It is the fraction between two integers. We need to find out ten rational numbers between - 7 9 and - 1 3 First take any number to multiply with both fractions and make the denominator same = - 7 9 × 9 9 and - 1 3 × 27 27 = - 63 18 and - 27 81 The seven rational numbers between - 63 81 and - 27 81 are - 61 81 , - 60 81 , - 55 81 , - 45 81 , - 40 81 , - 33 81 , - 31 81 .

Use the average method to check if 5 16 exists between 1 4 and 3 8

Rational number is considered as a number in mathematics that can be significantly expressed as a fraction or the quotient between a numerator and a denominator. It is the fraction between two integers. Given to find rational numbers between 1 4 and 3 8 . Rational number between any two rational numbers a and b is given by a + b 2 . Rational number between 1 4 and 3 8 = 1 2 1 4 + 3 8 = 1 2 2 + 3 8 = 1 2 × 5 8 = 5 16 Thus, the given statement is true

Write nine rational number between x and x , where x = - 6 11

Rational number is considered as a number in mathematics that can be significantly expressed as a fraction or the quotient between a numerator and a denominator. It is the fraction between two integers. Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative. So, x = - 6 11 = 6 11 We have to find the rational number between - 6 11 and 6 11 . Multiply numerator and denominator of both the rational number by 5 - 6 × 5 11 × 5 and 6 × 5 11 × 5 - 30 55 and 30 55 Nine rational number between - 30 55 and 30 55 is - 29 55 , - 28 55 , - 20 55 , - 19 55 , - 17 55 , - 16 55 , 12 55 , 25 55 and 22 55 .

E M B I B E

Math Sight book>Chapter 1 - Rational Numbers>HOTS (Higher Order Thinking Skills)

Jharne De and Ranjana Kumar Solutions for Chapter: Rational Numbers, Exercise 4: HOTS (Higher Order Thinking Skills)

Author:Jharne De & Ranjana Kumar

Jharne De Mathematics Solutions for Exercise - Jharne De and Ranjana Kumar Solutions for Chapter: Rational Numbers, Exercise 4: HOTS (Higher Order Thinking Skills)

Attempt the practice questions on Chapter 1: Rational Numbers, Exercise 4: HOTS (Higher Order Thinking Skills) with hints and solutions to strengthen your understanding. Math Sight book solutions are prepared by Experienced Embibe Experts.