Jawahar Navodaya Vidyalaya Selection Test (JNVST)

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Approximation: - making approximation to verify answer during the exam

🚀 Approximation is a useful mathematical technique that helps us quickly estimate the value of a number or the result of a calculation. It is especially helpful during exams when you want to verify your answers quickly. In the context of the JNVST, approximation can be used to check if your answer is reasonable without having to redo the entire calculation. This can save time and help you avoid mistakes.

Examples💡

Example 1: Suppose you are buying 3 notebooks, each costing ₹47. Instead of multiplying 47 by 3, you can approximate 47 to 50. So, 50 x 3 = 150. The actual cost is 47 x 3 = 141, which is close to 150. This quick check shows your calculation is reasonable.
Example 2: If you are calculating the total distance of a trip that includes 123 km, 78 km, and 56 km, you can approximate these to 120 km, 80 km, and 60 km. Adding these gives 260 km. The actual total is 257 km, which is close to your approximation.
Example 3: You have 5 friends and you want to distribute ₹98 equally among them. Approximating 98 to 100, you can quickly see that each friend would get about ₹20. The exact division gives ₹19.6, which is close to your approximation.

Common Mistakes to Avoid⚠️

  • Mistake 1: Rounding numbers too much can lead to inaccurate results. Always round to the nearest ten or hundred, depending on the context.
  • Mistake 2: Forgetting to adjust the final answer after using approximation. Always check if the approximation is close to the actual calculation.
  • Mistake 3: Using approximation when exact values are needed, such as in financial calculations where precision is important.