Approximation a game Know How ?

Approximation: An approximation is anything that is similar but not exactly equal to something else.

(i) Method of approximation for Addition & subtraction equation: Let us understand this method with an example:

Example. Find the approximate value of ‘x’ upto 3 digit:

4673.483 + 8494.867 – 7526.461 = x – 894.356 + 143.793

(a)2200.698(b) 4860.564 (c) 6500.699 (d) 3886.648

Step 1: Convert the exact values into approximate values.

4673.483  4700, 8494.867 8500, 7526.461 7500, 894.356  900, 143.793  100

Step 2: Put the value approximate values in the equation

4700 + 8500 – 7500 = x – 900 + 100

Step 3: After solving the equation

x = 6500

6500 is the approximate value of x. So, option(c) is very near about 6500.

(ii) Method of approximation for multiplication & Division equation: Let us understand this method with an example:

Example: What is the approximate value nearly to ‘x’?
89487  124 x 19808  594 x 40238  873 = x?
(a)1086888 (b) 1857122(c) 80388 (d) 549534

Step 1: Convert the exact values into approximate values.
89487  89500, 124  125, 19808  19800, 594  600, 
40238 40250, 873  875

Step 2: Put the approximate values in the equation.

Step 3: After solving the equation
x = 1086888.
1086888 is the approximate value of x. So, option (b) is very near about 1086888.

(iii) Method of approximation for square roots & cube roots:

Example: What is the approximate value of ‘x’?

(a)44 (b) 76 (c) 56 (d) 34

Step 1: Put the approximate values near the square root and cube root of an equation.
5342.045329,
5013.036  4913, 5847, 7734  , 10649.876 10648.

Step 2: Put the value approximate values in the equation.

Step 3: After solving the equation
x = 73 + 17-18+4

x = 76.
Note: To get the result very near about the exact answer we should always decrease or increase some quantities to make the balance.

We have discussed concepts of Simplification and Approximation techniques in our article.

Hope this was helpful

All the best!!!