SQUARING NUMBERS - 1

We know to square a Number. To Square a number means multiply a number by itself.

Here we can see how we can square a number easily.

Squaring Numbers Ending in Five :

If we have to Square a number ending in 5, Separate the final 5 from the digit or digits that come before it. Add 1 to the number in front of the 5, then multiply these two numbers together. Write 25 at the end of the answer and the calculation is complete.

Example, 35² =

Separate the 5 from the digits in front. Here, 3 in front of 5. Add 1 to the 3, we get 4. ( 3+1 =4 )

Multiply these two numbers together, 3 × 4 = 12.

Write 25 (5 squared ) after 12 for our answer of 1225.

The answer is 35² = 1225.

We can use this method to numbers with decimals.
We would ignore the decimal and place it at the end of the calculation.

Squaring Numbers near Fifty :

Example, 47² =

47² = 47 × 47.
Rounding upwards, 50 × 50 = 2500.

47 is less than 50, it is a minus number.
We take 3 from the number of hundreds in 2500.

25 – 3 = 22. That is the number of hundreds in answer, 2200.

To get the final answer , find the value of 3². That is 9.

Therefore the answer is 2200 + 9 = 2209.

Similarly, we can use this method to a number more than 50.

For example, 57² =

57 is more than 50, we take 7 from the number of hundreds in 2500.

25 + 7 = 32, that is the number of hundreds in answer, 3200.

Now find the value of 7², that is 49.

Therefore the answer is 3200 + 49 = 3249.

Rest in Next...,