Jawahar Navodaya Vidyalaya Selection Test (JNVST)

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Number Systems: Understanding natural numbers, integers, and their properties

🚀 Number systems are a way to represent and work with numbers. In mathematics, understanding different types of numbers and their properties is essential. Let's explore natural numbers and integers, which are fundamental to our daily lives and the JNVST exam.

Examples💡

Example 1: Natural Numbers - Imagine you are counting the number of mangoes in a basket. You start from 1 and go on: 1, 2, 3, 4, and so on. These are natural numbers. They are the numbers we use for counting and start from 1, 2, 3, and so on.
Example 2: Integers - Suppose you are playing a game where you gain points for correct answers and lose points for wrong ones. If you gain 5 points and then lose 3 points, your score can be represented as +5 and -3. Integers include positive numbers, negative numbers, and zero.
Example 3: Properties of Integers - If you have ₹100 and you spend ₹30, you can think of it as 100 - 30 = 70. This shows the subtraction property of integers, where you can subtract a smaller number from a larger one to find the difference.

Common Mistakes to Avoid⚠️

  • Mistake 1: Confusing natural numbers with whole numbers. Remember, natural numbers start from 1, while whole numbers start from 0.
  • Mistake 2: Forgetting that zero is an integer. Zero is neither positive nor negative, but it is an integer.
  • Mistake 3: Misplacing the negative sign in integers. Always place the negative sign before the number, like -5, not 5-.