RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4D) Exercise 4.4 - Free PDF
FAQs on RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4D) Exercise 4.4
1. Where can I find accurate, step-by-step solutions for RS Aggarwal Class 7 Maths Chapter 4, Exercise 4.4?
Vedantu provides detailed, step-by-step solutions for all problems in RS Aggarwal Class 7 Maths, Chapter 4, Exercise 4.4. These solutions are prepared by expert teachers and are aligned with the latest CBSE guidelines, helping students understand the correct methods for solving word problems involving rational numbers.
2. What is the general approach for solving the word problems in RS Aggarwal Class 7 Maths Ex 4.4?
To solve word problems from this exercise, you should follow a clear method:
Carefully read the problem to identify the known values and what needs to be found.
Translate the word problem into a mathematical equation involving rational numbers.
Perform the required operation, such as addition, subtraction, multiplication, or division.
Simplify the final result to its lowest terms to get the correct answer.
3. How do you divide one rational number by another in the problems from Exercise 4.4?
To divide a rational number (a/b) by another (c/d), the correct method is to multiply the first rational number by the multiplicative inverse (or reciprocal) of the second. The calculation is: (a/b) ÷ (c/d) = (a/b) × (d/c). After multiplying the numerators and the denominators, simplify the resulting fraction.
4. Why is finding the LCM essential when adding or subtracting rational numbers in Ex 4.4 problems?
Finding the LCM (Least Common Multiple) of different denominators is a crucial first step because you can only add or subtract fractions that share a common denominator. The LCM provides the smallest common base to create equivalent fractions. This ensures the operation is mathematically correct and prevents errors. Without a common denominator, the addition or subtraction would be invalid.
5. What is a common mistake to avoid when solving problems in RS Aggarwal Solutions for Chapter 4, Exercise 4.4?
A common mistake is forgetting the rules for signs when performing multiplication or division. For example, the product of two negative rational numbers is a positive rational number. Another frequent error is finding the reciprocal of the wrong number during division; you must always flip the second fraction (the divisor), not the first one.
6. How can I translate a word problem from Exercise 4.4 into a mathematical equation?
To translate a word problem into an equation, identify keywords. For example, 'sum of' implies addition, 'product of' implies multiplication, 'by what number should... be divided' implies division. Let the unknown value be a variable (like 'x'). For the problem, "The product of two numbers is -16/9. If one number is -4/3, find the other," you would set it up as: (-4/3) × x = -16/9.
7. In the context of Exercise 4.4, why can't a rational number have a denominator of zero?
A rational number is defined as any number in the form p/q, where 'q' cannot be zero. This is a fundamental rule because division by zero is undefined in mathematics. If the denominator were zero, the value would be indeterminate, making it impossible to perform the calculations like addition, multiplication, or division required to solve the problems in Exercise 4.4.
