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Question

What is the mutiplicative inverse of the difference of the sum of first 5 natural numbers and the sum of first 5 whole numbers.

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Solution

Natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, .....so on
Whole numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ....so on

=> First five natural numbers = 1, 2, 3, 4, 5
=> First five whole numbers = 0, 1, 2, 3, 4

=> Sum of first five natural numbers = 1 + 2 + 3 + 4 + 5 = 15
=> Sum of first five whole numbers = 0 + 1 + 2 + 3 + 4 = 10

Difference of the sum of first five natural numbers and the sum of first five whole numbers = 15 - 10 = 5.

Multiplicative inverse of 5 can be written as 15.

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