What is an Addend in Math?
In mathematics, “addends” refer to the numbers or terms that are added together to find a sum. The process of addition involves combining these addends to determine the total or sum of the quantities represented by the individual numbers.
For example, in the addition expression 3 + 4 = 7, the numbers 3 and 4 are the addends. Here, the addends are added to find the sum, which is 7.
Understanding addends is fundamental to grasping the concept of addition. Whether dealing with simple arithmetic or more complex mathematical operations, recognizing and working with addends is crucial for solving mathematical problems and equations. The sum is the result obtained by combining the addends through addition.
In mathematical expressions and equations, addends are often denoted by variables or specific numerical values. The flexibility of this concept allows for the exploration of various mathematical operations and problem-solving scenarios.
Solved Examples on Addend
Example 1: If the sum of two addends is 17 and one of the addends is 8, find the value of the other addend.
Solution:
Let a and bb be the addends, with a = 8. The sum is given by a + b = 17.
Substitute a = 8 into the expression:
8 + b = 17
Now, solve for bb:
b = 17 – 8 = 9
So, if one addend is 88, the other addend is 9 to make the sum 17.
Example 2 :The sum of three addends is 25. If two of the addends are 7 and 9, find the value of the third addend.
Solution:
Let a, b, and c be the addends, with a = 7 and b = 9. The sum is given by a + b + c = 25.
Substitute a = 7 and b = 9 into the expression:
7 + 9 + c = 25
Now, solve for c:
c = 25 – 7 – 9 = 9
So, if two of the addends are 7 and 9, the value of the third addend is 9 to make the sum 25.
Example 3: The sum of two consecutive integers is 29. Find the integers.
Solution:
Let x and x + 1 be the consecutive integers. The sum is given by x + (x + 1) = 29.
Combine like terms:
2x + 1 = 29
Subtract 11 from both sides:
2x = 28
Divide by 22:
x = 14
So, the consecutive integers are 14 and 15 because 14 + 15 = 29.