**Operations on Numbers**

## 3-Digit Addition for Class 3 Maths

Here the student will recall the properties of addition and learn about 3-digit addition. The addition of numbers in the number line shows examples and pictures here. The addition with carry-over and the addition without carry-over are explained with examples, and word problems of addition for class 3 are discussed with real-life examples.

This learning concept is about

- Addition of 3- digit numbers with carry-over or without carryover.
- Applying 3-digit addition in real life.

The learning concept is explained to class 3 students with examples, illustrations, and a concept map. At the end of the page, two printable 3- digit addition worksheets for class 3 with solutions are attached for the students.

Download the worksheets and solutions to assess our knowledge of the concept.

- Addition is an operation used to calculate the total or sum of two or more numbers.
- Addition combines two quantities into a single quantity.
- Numbers that are added together are called
**addends**, and the total is called the**sum**. - We can add 3-digit numbers in the same manner as we add 2-digit or single digit numbers.

Addition is an operation used to calculate the total or sum of two or more numbers.

Addition combines two quantities into a single quantity.

Numbers that are added together are called **addends**, and the total is called the**sum**.

We can add 3-digit numbers in the same manner as we add 2-digit or single digit numbers.

## Number Line Addition

Addition is easy to understand on number line.

**Step 1:** First, place the first number on the number line.

**Step 2:** Express the second number in expanded from.

**Step 3:** Now, proceed through the number line according to the expanded form of the second number
from the first number.

**Step 4:** The last point that we reach is the sum of the two numbers.

Example:Add 242 and 126 using number line.

**Answer:** 242 + 126 = 242 + 100 + 20 + 6

Hence,

242 + 126 = 368

## Addition Without Carry Over

**Step 1:** Start adding digits from ones place.

**Step 2:** Add the digits at tens place.

**Step 3:**Add the digits at hundreds place.

### Example:

**Add:** a) 356 + 443 b) 145 + 623 + 211

**Answer:**

**a)**

**b)**

## Addition With Carry Over

**Step 1:** Start adding digits from ones place. If there is any carry-over, then add the number of
the carry forward with the digits at tens place.

**Step 2:** Add the digits at tens place. If there is any carry-over, then add the number of the
carry forward with the digits at hundreds place.

**Step 3:**Add the digits at the hundreds place.

### Example:

**Add:** a) 356 + 465 b) 149 + 385 + 676

**Answer:**

**a)**

**b)**

## Addition Word Problems for Class 3

Following are the steps to solve a word-problems involving addition

**Step 1:** Read the question carefully and identify the numbers to be added to get the total.

**Step 2:** Add the numbers to find the sum.

**Step 3:**One final sentence should be there at the end of the solution which concludes the result.

### Example:

** a) **On the sports day of a school, 120 students participated in a 100-metre race, 164 students participated in
the Spoon race, and 56 students participated in the sack race. How many students participated in all?

**Answer:**

The number of students who participated in the 100- metre race = 120

The number of students who participated in the Spoon Race = 164

The number of students who participated in the Sack Race = 56

The total number of students who participated in the Sports day events =

120 + 164 + 56 = 340

Hence, 340 students participated in all.

**b) ** At a school picnic, there were 250 girls and 234 boys. How many students went to the picnic?

**Answer:**

The number of girls who went to the picnic = 250

The number of boys who went to the picnic = 234

So, the total number of students who went to the picnic is:

250 + 234 = 484

Hence, 484 students went to the picnic.