A hall is 15m long and 12m broad.If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of hall is?; A hall is 15m long and 12m broad.If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of hall is?
Answers
Answer:
Step-by-step explanation:
Yes, as the numbers are in the same base it doesn't effect. Any no. can be written as X1* b^(d-1) + X2*b^(d-2)+........+ Xd. When we add the numbers, it the sum of the digits at corresponding bases + Carry from the previous No. Now, when we add the digits of the result , we are actually adding the sum of digits of the numbers at corresponding bases and the carry from the previous sum(s). and reduce it to a single digit No.
Now, in the second case, we add the digits of the same no. and carry ( if required and if you want ) and similarly for the another number(s). and add the results.
In other words, say for ab and cd as numbers. ( a + c ) + ( b + d ) = ( a + b ) + ( c + d ).
Any Carried forward will effect intermediate sums but not the final result ( Carrying a no. to a higher base will increase the value of Coefficient by The carrying no. is same as adding the carrying no. as higher base to a coefficient at a lower base.) like 14 + 8 = 22 => 2 + 2 = 4. and 14 + 8 = 1 + 1 (carry forward no.) + 2 = 4.
Hence, it doesn't effect when if reduce the all the sums into a single digit first or reduce only the final sums to a single digit.
Similarly, it can be proved for more than two numbers.
Remember, the associative properties of summation of Numbers.
Hope it answers your question
