#### Need Help?

Get in touch with us  ## Key Concepts

• Sum
• Addition to regrouping in hundreds.
• Regroup
• Addition to regrouping in ones, tens, and hundreds.

## Introduction

In this chapter, we will learn about the addition of numbers up to 10,000 and the terms used for addition.

Addition without regrouping is when the digits add up to a number that is 9 or less. Here, the answer can simply be written below each place value column.

Example: Find the sum of 2483 and 3512.

Sol:

### 3.1.1 Sum:

The result obtained from the addition of two numbers is called the sum.

Example:

### 3.2 Addition with regrouping in hundreds.

When carrying out addition, regrouping is often used to carry a group of ten to the next place value column up.

Example: Find 1300 + 3900.

Sol:

3 hundreds + 9 hundreds = 12 hundreds.

= 1 thousand 2 hundred

1 thousand + 3 thousand + 1 thousand = 5 thousand

The sum of 1300 and 3900 = 5200

### 3.2.1 Regroup:

Regrouping can be defined as the process of making groups of tens when carrying out operations for addition with two-digit numbers or larger.

Example:

### 3.3 Addition with regrouping in ones, tens, and hundreds.

When carrying out addition with regrouping is often to move a group of ones, tens and hundreds to the next place value column up.

Example: Find 1143 + 2159.

Sol: Step 1: Add the ones

3 ones + 9 ones = 12 ones

1 tens + 4 tens, + 5 tens =10 tens

1 hundred + 1 hundred  + 1 hundred   = 3 hundred.

1 thousand + 2 thousand  = 3 thousand

The sum of 1143 + 2159 = 3302

## Exercise

1. Find 4211 + 346.
2. Find 5243 + 4354.
3. Sam brought 200 cupcakes from the bear bakery. Jack went to the same bakery and bought 259 cupcakes. How many cupcakes did they buy together?
4. Find 1621 + 2245.
5. Find 97675 + 40854.
7. Find 64286 + 59991.
8. Find the sum of 2613 and 2418.
9. Find the sum of 8243 and 6554.
10. In addition to 2415 and 1234, what will be the first step in addition?
11. Find 6259 + 2641.
12. Find 244 + 465.

### What we have learnt:

• Understood how to add two or more digits without regrouping and understand about the term sum.
• Understood how to add two or more digits with regrouping, i.e., carrying one digit to next place value column up in hundreds and understood about the term regrouping.
• Understood how to add two or more digits with regrouping place values as ones, tens, and hundreds.

### Concept Map :

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