Number Numeric System (JNVST Arithmetic 1)

1. Introduction to Numbers

• Definition of numbers: Natural, Whole, Integers, and Decimals.
• Types of numbers:
  • Even and Odd Numbers
  • Prime and Composite Numbers
  • Factors and Multiples

2. Place Value and Face Value

• Place Value: The value of a digit based on its position in a number.
  • Example: In 345, the place value of 4 is 40.
• Face Value: The actual value of a digit.
  • Example: In 345, the face value of 4 is 4.

3. Expanded Form and Standard Form

• Converting numbers between expanded form and standard form.
  • Example: 345 = 300 + 40 + 5 (Expanded Form)

4. Divisibility Rules

• Rules for divisibility by 2, 3, 5, 9, and 10.
  • Example: A number is divisible by 3 if the sum of its digits is divisible by 3.

5. Prime Numbers and Composite Numbers

• Prime numbers: Numbers greater than 1 with only two factors (1 and itself).
  • Example: 2, 3, 5, 7.
• Composite numbers: Numbers with more than two factors.
  • Example: 4, 6, 8.

Tips and Tricks for JNVST Exam: Number and Numeric System

1. Memorize Divisibility Rules: These rules help in quickly identifying factors and solving problems involving multiples.
2. Use Prime Factorization: To solve HCF and LCM problems faster.
3. Practice Expanded Form: It helps in understanding place value and solving number formation questions.
4. Learn Shortcuts for Multiples: Knowing multiplication tables up to 12 makes calculations quicker.
5. Work on Estimation: Estimation helps in approximating answers and saving time during the exam.

Exam Strategy for Number and Numeric System

1. Understand the Question Pattern:
   Questions in this chapter are usually straightforward but may require careful reading. Be precise with calculations to avoid silly mistakes.

2. Solve Easy Questions First:
   Start with simple problems like place value or divisibility before moving on to complex ones like HCF or LCM.

3. Time Management:
   Allocate a fixed amount of time to solve each problem. Use shortcuts and tricks to save time for harder questions.

4. Double-Check Your Answers:
   Review calculations to ensure accuracy, especially in questions involving multiple steps like LCM and HCF.

5. Practice Mock Tests:
   Attempt mock exams under timed conditions to familiarize yourself with the exam environment and identify weak areas for improvement.