SQUARING NUMBERS - 2

Squaring Numbers Near Five Hundred :

In the previous section we have seen squaring numbers ending in five, squaring numbers near fifty.

In this we see Squaring Numbers Near Five Hundred. This is similar to squaring numbers near fifty.

Example, 507² =

507 is greater than 500.

500² = 250,000 and The number 7 is added to the thousands.

250 + 7 = 257 and 7² = 49.

The answer is 257,000 + 49 = 257,049

To Square numbers below 500 :

For example, 486² =

486 is 14 less than 500,

500² = 250,000 and 14 is added to the thousands.

250 – 14 = 236, 14² = 196.

The answer is, 236,000 + 196 = 236,196.


Numbers Ending in One :

Example, 33² =

First we square 30² = 900, Secondly, add together 30 + 33 = 63.

The answer is 900 + 63 = 963

We can also use the method for squaring numbers ending in 1 for those ending in 6.


Example, 56² =

55² = 3025 , 55 + 56 = 111, 3025 + 111 = 3136 ANSWER.

Numbers Ending in Nine :

Example, 29² =

29 is 1 less than 30, 30² = 900, 30 + 29 = 59, Now 900 – 59 = 841 Answer.

We can also use the method for squaring numbers ending in 9 for those ending in 4.

Example, 54² =

55² = 3025, 55 + 54 = 109, then subtract 3025 – 109 = 2916 Answer.