The sum of two numbers is a whole number if both of the numbers are whole numbers, or if the sum of two fractions can be simplified to a whole number.
24 and 53.
You know that sum of the first n whole numbers is n(n+1)/2. ( it is the same as the first n natural numbers since the zero does not add anything) So lets say you want the sum of all the whole numbers between 3 and 10. ( I made it easy to illustrate the idea.) The sum of the whole numbers between 0 and 3 is 3(4)/2=6 The sum of the whole numbers between 0 and 10 is 10(11)/2=55 So the sum of the whole numbers between 3 and 10 is the (sum of the whole number between 0 and 10) -(sum of whole numbers between 0 and 3) which is 55-6=49 So in general, for whole numbers m and n with m
2/23/
The sum is 150*151/2 = 11,325
The sum of two numbers is a whole number if both of the numbers are whole numbers, or if the sum of two fractions can be simplified to a whole number.
24 and 53.
16
You know that sum of the first n whole numbers is n(n+1)/2. ( it is the same as the first n natural numbers since the zero does not add anything) So lets say you want the sum of all the whole numbers between 3 and 10. ( I made it easy to illustrate the idea.) The sum of the whole numbers between 0 and 3 is 3(4)/2=6 The sum of the whole numbers between 0 and 10 is 10(11)/2=55 So the sum of the whole numbers between 3 and 10 is the (sum of the whole number between 0 and 10) -(sum of whole numbers between 0 and 3) which is 55-6=49 So in general, for whole numbers m and n with m
7 and 11
Well, isn't that a happy little math problem we have here! Let's see, the two prime numbers that add up to 78 are 41 and 37. Just like in painting, sometimes you need to mix different colors to create something beautiful. Happy calculating!
2/23/
The sum is 150*151/2 = 11,325
No. Each mixed number is made of a whole number and a fraction. When you add them, you have the sum of two whole numbers and two fractions. Since each whole number must be at least ' 1 ', the sum of two whole numbers must be at least ' 2 ', and the two fractions will always make it more than ' 2 '.
65 and 77
The three consecutive whole numbers you are looking for are 1, 2, and 3. The sum of the first two numbers, 1 + 2 = 3.
2 mixed numbers can only be a whole when the 2 numerators add up to the number