Minuend – Definition With Examples

The minuend is the starting point of a subtraction operation. It is an essential part of a subtraction equation.

Suppose you have to subtract 5 from 8. You can easily write it as:

A subtraction sentence

But can you say which one of these numbers is the minuend? Well, it is the number 8.

Come, let us know more about meaning of minuends.

What is Minuend in Math?

Minuend is defined as the number in a subtraction sentence from which we subtract another number. A subtraction sentence consists of 3 numbers: minuend, subtrahend, and difference.

The minuend is the first number in a subtraction sentence. We subtract subtrahend from the minuend to get the difference.

Minuend minus subtrahend equals difference

Let us consider the subtraction equation 9 – 4 = 5.

Here,

A subtraction equation with minuend, subtrahend, and difference

In the vertical method of subtraction or column method, the minuend is the number at the top.

Vertical subtraction with minuend, subtrahend, and difference

In the column method of subtraction, we regroup the numbers if the minuend digit is smaller than the subtrahend digit. That is, the digit we want to subtract is higher than the digit from which it is subtracted. In such a case, we borrow 1 from the next higher place to regroup the numbers. It makes the value of the minuend digit higher than the subtrahend digit and makes it possible to subtract the subtrahend digit from the minuend digit.

Steps to subtract with regrouping

Here, 5 cannot be subtracted from 3. So, 1 ten is borrowed from the tens place. This changes the minuend digit from 3 to 13. Now, 5 can be easily subtracted from 13 to get 8. 

Application of Minuend in Real Life

Having a clear concept of minuend will enable you to carry out subtraction operations easily and quickly. For instance, when you buy something at a store, knowing this concept well will help you easily calculate how much money you are left with.    

Fun Facts

  1. The word “minuend” originates from the Latin word “minuendus,” which means something that will decrease.
  2. In a subtraction sentence, the value of the minuend is equal to the sum of the subtrahend and the difference. For example, if ___ – 7 = 28, then the minuend is 28 + 7 = 35.

Conclusion

Subtraction is one of the four fundamental operations of mathematics. Mastering this operation and its vocabulary is essential for understanding algebra and other mathematical operations. SplashLearn can help you learn the concepts and vocabulary of subtraction with ease. This learning platform has lessons with plenty of examples and practice problems to resolve your doubts on minuend.

Solved Examples

Example 1: Which is the minuend in the subtraction equation given below?

762 – 436 = 326

Solution: 762. We know that the first number in a subtraction sentence is a minuend. So, here 762 is the minuend.

Example 2:  Find the minuend in 500 – 499.

Solution: 500. According to the definition of minuend, it is the number from which another number is deducted or subtracted. Thus, 500 is the minuend here.

Example 3:  Find the value of 83 – 36 using the column method.

Solution: 47. On arranging the numbers in the column method by place value, we observe that the minuend, 3, in the ones column is smaller than the subtrahend, 6, in the ones column. So, we borrow 1 from the tens place for the minuend 3 and regroup the numbers. This increases the minuend value to 13 and makes it greater than the subtrahend 6. We then carry out the subtraction operation and get 83 – 36 = 47. 

Solution of 83 minus 36

Practice Problems

Minuend - Definition With Examples

Attend this quiz & Test your knowledge.

1In the equation x – y = z, which is the minuend?

Y
X
Z
None of the above
CorrectIncorrect
Correct answer is: X
Explanation: In a subtraction equation, minuend is the number from which another number is subtracted. In equation x – y = z, we have to subtract y from x. So, x is the minuend.

2Nina has 92 cupcakes. She gives 48 cupcakes to Nora. How many cupcakes is Nina left with?

44
46
38
40
CorrectIncorrect
Correct answer is: 44
We arrange the numbers in the column method by place value. Here, the minuend 2 in the ones column is smaller than the subtrahend 8 in the ones column. So, we borrow 1 from the tens place for minuend 2 and regroup the numbers. This increases the minuend value to 12 and makes it greater than the subtrahend 8. We then carry out the subtraction operation and get 92 – 48 = 44.
Minuend – Definition With Examples

3If you subtract 293 from 365, what number will you get?

56
70
72
82
CorrectIncorrect
Correct answer is: 72
We arrange the numbers in the column method by place value. Here, the minuend 6 in the tens place is smaller than the subtrahend 9 in the tens place. So, we borrow 1 from the hundreds place for minuend 6 and regroup the numbers. This increases the minuend value to 16 and makes it greater than the subtrahend 9. We then carry out the subtraction operation and get 365 – 293 = 72.
Minuend – Definition With Examples

Frequently Asked Questions

Yes, when a subtraction problem is arranged in the column method, the minuend always sits above the subtrahend.

We get the subtrahend if we subtract the difference from the minuend.

We can do subtraction without regrouping if we don’t have to borrow any number from the preceding digit.