What is the Augend?

S1-SA1-0779

Grade Level:

Class 4

Maths, Computing

Definition

What is it?

The augend is the first number in an addition problem. It's the quantity to which another quantity (the addend) is added. Think of it as the starting amount you have before adding anything else.

Simple Example

Quick Example

Imagine you have 5 laddoos in a box. If your friend gives you 3 more laddoos, the 5 laddoos you started with is the augend. You are adding to this initial number.

Worked Example

Step-by-Step

Let's say you are calculating the total score in a cricket match.
1. Your team scored 125 runs in the first innings.
2. In the second innings, they scored 70 more runs.
3. The addition problem is 125 + 70.
4. Here, 125 is the first number, the one you start with.
5. So, 125 is the augend.
Answer: The augend is 125.

Why It Matters

Understanding augend helps you build a strong foundation in arithmetic, which is key for higher maths and even computing. It's used by software developers to build calculators and by data analysts to sum up information, helping them solve real-world problems.

Common Mistakes

MISTAKE: Thinking the augend is always the bigger number. | CORRECTION: The augend is simply the first number written in an addition problem, regardless of its size. For example, in 3 + 5, 3 is the augend.

MISTAKE: Confusing augend with addend. | CORRECTION: The augend is the number you add TO, while the addend is the number you ARE adding. In 10 + 2 = 12, 10 is the augend, 2 is the addend.

MISTAKE: Believing augend only applies to positive numbers. | CORRECTION: The concept of augend applies to all numbers, including negative numbers and decimals. For example, in -5 + 3, -5 is the augend.

Practice Questions

Try It Yourself

QUESTION: In the sum 15 + 7 = 22, what is the augend? | ANSWER: 15

QUESTION: Your mobile data pack has 2 GB left. You recharge with another 3 GB. In the addition 2 GB + 3 GB, what is the augend? | ANSWER: 2 GB

QUESTION: A shopkeeper had 125 pens. He then received another delivery of 75 pens. He then sold 50 pens. What was the augend in his first addition? | ANSWER: 125 pens

MCQ

Quick Quiz

Which of these is the augend in the expression 45 + 10 = 55?

#ERROR!

The Correct Answer Is:

The augend is the first number in an addition problem. In 45 + 10 = 55, 45 is the first number, so it is the augend. 10 is the addend, and 55 is the sum.

Real World Connection

In the Real World

When you check your bank balance on a UPI app like PhonePe or Google Pay, and you see your current balance (the augend) before a new deposit (the addend) arrives, you're looking at this concept in action. Financial apps use this basic idea to update your total money.

Key Vocabulary

Key Terms

ADDITION: The process of combining two or more numbers to find their total | ADDEND: The number being added to the augend | SUM: The total result of an addition problem | OPERATION: A mathematical process like addition, subtraction, multiplication, or division

What's Next

What to Learn Next

Now that you understand the augend, you can learn about the 'addend' and the 'sum'. These are the other important parts of an addition problem, and knowing all three will help you solve any addition question easily!