Find out the number

Today our main issue is that the full category variety

. however before that let's learn the strategy of finding 2 fascinating queries in arithmetic. it's a matter of reality to use mathematical calculations supported logic. If we are saying (55 × 55) = a hundred, (66 × 66) = a hundred and forty four, (77 × 77) = 196, (88 × 88) = 256, then (99 × 99) =?

First of all, i feel it is a fabulous downside. truly (55 × 55) = 3025, a hundred will ne'er be a hundred however within the kind of a rhythm it's written as that is why I aforesaid 1st, 'if ... is'

Now for example, if the primary equations square measure thought of correct, then what is going to be the last product? To answer this, we tend to 1st saw a number of the series within the given series and located out the inner matches. there's a similarity between every quantity. It seems, the primary digits of every letter square measure 2 digits and therefore the same digit doubly. The sq. variety of those 2 total total is shown because the sq. of the complete variety. For example: (55 × 55) = (5 + 5) two = (10) two = a hundred currently we are able to establish the answers to the most downside. (99 × 99) = (9 + 9) two = (18) two = 324

See another fascinating account. (11/5) + (12/5) + (13/5) + (14/5) + (15/5) =? what's the simple thanks to establish the total of this section? For the solution we'll 1st see, from eleven to fifteen, 5 of the 5 numbers within the series are value-added by dividing five. thus we are able to write this series (11 + twelve + thirteen + fourteen + 15) / five = {(11 +15) × five/2} / five = {(26 × five) / 2} / 5 = (130/2 ) / 5 = (65/5) = thirteen.