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Class 9 Exam  >  Class 9 Questions  >  Locate on the number line representing √5/2? Start Learning for Free
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Locate on the number line representing √5/2?
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Locate on the number line representing √5/2?
Locating √5/2 on the Number Line


To locate √5/2 on the number line, we first need to understand what this number represents. √5/2 is an irrational number, which means it cannot be expressed as a fraction of two integers. It is the square root of 5 divided by 2, which is approximately 1.118.


Understanding the Number Line


The number line is a mathematical tool that helps us visualize and compare numbers. It is a straight line with zero in the middle and positive numbers to the right and negative numbers to the left. The distance between any two points on the number line represents the difference between the corresponding numbers.


Locating √5/2 on the Number Line


To locate √5/2 on the number line, we can start by plotting some reference points. We know that √4=2 and √9=3, so we can plot those numbers on the number line.



  • 0

  • -1

  • -2

  • -3

  • -4

  • 1

  • 2

  • 3

  • 4



Next, we can estimate the position of √5/2 between √4 and √9. Since √5 is between √4 and √9, we know that √5/2 is between √2 and √(5/2). We can use a calculator to find that √(5/2) is approximately 1.581, which is between 1 and 2.


Therefore, we can estimate that √5/2 is between 1.2 and 1.4 on the number line.


Conclusion


In conclusion, we can locate √5/2 on the number line between 1.2 and 1.4, based on our estimation using reference points and a calculator. The number line is a useful tool for visualizing and comparing numbers, and it helps us understand the relationships between different numbers and their magnitudes.
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Locate on the number line representing √5/2?
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