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Number Systems: Understanding natural numbers, integers, and their properties
🚀 Number systems are a fundamental part of mathematics, and understanding them is crucial for solving various problems. In this topic, we will explore natural numbers and integers, which are the building blocks of the number system. Natural numbers are the numbers we use for counting, like 1, 2, 3, and so on. They do not include zero or negative numbers. Integers, on the other hand, include all whole numbers, both positive and negative, as well as zero. Understanding these numbers and their properties helps us perform arithmetic operations and solve real-world problems.
Examples💡
Example 1: If you have 5 apples and you give away 2, you are left with 3 apples. Here, 5, 2, and 3 are natural numbers.
Example 2: If the temperature is 3 degrees and it drops by 5 degrees, the new temperature is -2 degrees. Here, 3 and -2 are integers.
Example 3: If you earn 100 rupees and spend 50 rupees, you have 50 rupees left. Here, 100, 50, and 50 are natural numbers.
Common Mistakes to Avoid⚠️
- Mistake: Confusing natural numbers with whole numbers. Correction: Remember, natural numbers start from 1, while whole numbers start from 0.
- Mistake: Forgetting that integers include negative numbers. Correction: Integers are all whole numbers, including negatives and zero.
- Mistake: Assuming all numbers are positive. Correction: Remember that integers can be negative, positive, or zero.