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What are approximate numbers?

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Geometry as one of the oldest branches of mathematics deals with the parameters and properties of shapes, relation between points, shape positioning, angles, dimensions, etc. The study is used to determine the dimensions and parameters of regular as well as irregular shapes. The given article discusses approximation or approximate numbers, symbols used to indicate approximate numbers, and their use in mathematics.

Approximation or approximate number

Approximation or approximate numbers can be defined as a value that is similar to the other value but not exactly equal to it. The approximation is used when the results of the numeric calculations are uncertain. They mostly come into use when the decimal numbers with larger place values come as a result. 

Use of Approximate number in Maths

In mathematics, approximate numbers or symbols are used to define some uncertain or infinite numbers. While conducting some advanced mathematical operations an exact numeric result is difficult to achieve. So, The approximate values are used as solutions instead of the uncertain values.

What are approximate numbers?

Answer:

The mathematical symbol (≈) is used to symbolically denote that the given two numbers are approximately equal to each other. The uncertain value is replaced by a finite number with the symbol to indicate that the value is almost equal to the original result.

For example, while performing a calculation using Ï€ we certainly use the value  Ï€=3.14, but the value of pi is supposed to be 3.142857142857143. Hence, Ï€=3.14 is an approximate value to make the calculation convenient. 

Sample Questions

Question 1: What is the approximate value of π?

Answer:

The approximate value of π is 3.14 or 22/7.

Question 2: Find a rational number approximation of e that is accurate to the 100th place, e = 2.7182818284…

Answer:

Round off e to the 100th place,

e = 2.71

Now, write the decimal value in fractional form

e = 271/100

Question 3: What is the approximate of √2?

Answer:

The approximate value of √2 is 1.41.

Question 4: What is the approximate value of √3?

Answer:

The approximate value of √3 is 1.73.

Question 5: What is the approximate value of √19?

Answer:

The approximate value of √19 is 4.36


Last Updated : 13 Dec, 2021
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