Maths Chapter 1: Number Systems - Practice Set Solutions
1. Practice Set 1.1
- Solution: In this practice set, students are typically required to solve problems related to rational numbers, irrational numbers, and their properties. They may need to simplify expressions involving these numbers and perform operations like addition, subtraction, multiplication, and division.
2. Practice Set 1.2
- Solution: Practice set 1.2 usually focuses on real numbers, decimal representation of rational and irrational numbers, and their comparison. Students may have to convert fractions to decimals and vice versa, and order numbers on the number line.
3. Practice Set 1.3
- Solution: This practice set often involves solving problems related to the representation of numbers on the number line, finding the decimal expansions of given rational numbers, and determining whether a given number is rational or irrational.
4. Practice Set 1.4
- Solution: Practice set 1.4 may require students to perform operations on surds, simplify expressions containing surds, and rationalize the denominator. They may also need to solve problems involving irrational numbers and their properties.
5. Practice Set 1.5
- Solution: In this practice set, students may be asked to solve word problems involving rational and irrational numbers, apply the properties of real numbers in solving equations, and verify the closure properties of rational and irrational numbers under addition and multiplication.
By practicing these sets, students can strengthen their understanding of number systems and improve their problem-solving skills in the context of rational and irrational numbers. It is important to carefully read and understand each question, apply the relevant concepts, and check the solutions for accuracy.