Download the Arithmetic Approximation Ture Discount MCQs with Free PDF for PPSC, FPSC, PMS, NTS, KPKPSC, and SPSC exam
Approximation in maths is the process of replacing a mathematical expression with a simpler expression that is close enough to the original expression for a given purpose.
There are many different ways to approximate a mathematical expression. Some common methods include:
Rounding: This involves replacing a number with a smaller number that is closer to a multiple of a certain number. For example, 3.14 can be rounded to 3 for most purposes.
Estimation: This involves making a rough guess about the value of an expression. For example, you might estimate that the square root of 16 is about 4.
Interpolation: This involves finding a value that falls between two known values. For example, you might interpolate to find the value of √15 between √16 = 4 and √25 = 5.
Extrapolation: This involves finding a value that is outside the range of known values. For example, you might extrapolate to find the value of √1000.
The best method to approximate a mathematical expression depends on the specific expression and the purpose of the approximation.
Approximation is a useful tool in many different areas of mathematics. It can be used to simplify calculations, to make estimates, and to solve problems that would be difficult or impossible to solve exactly.
Here are some examples of how approximation is used in mathematics:
Approximation is used in calculus to simplify the calculation of integrals and derivatives.
Approximation is used in statistics to estimate the population mean and standard deviation.
Approximation is used in physics to model the behavior of physical systems.
Approximation is used in engineering to design and build structures and machines.
Approximation is used in computer science to optimize algorithms and programs.
Here are some examples of approximation in mathematics:
Rounding off 3.14159 to 3 is an approximation.
Estimating the number of jelly beans in a jar by counting 10 jelly beans and multiplying by 10 is an approximation.
Finding the value of x in the equation 2x+1=5 by substituting 2 for x is an approximation.
Finding the value of y in the equation y=x by substituting 16 for x is an approximation.
Simplifying the expression 2x+1 to x+1 is an approximation.
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