Addition is finding the total of different values.

The important thing to remember when adding is to line up the numbers carefully according to place value.

The numbers which we add are called ADDENDS and the answer of an addition operation is called **SUM**.

Adding three digit numbers - without carrying. This video demonstrates adding 3-digit number to a 3-digit number without carrying.

Adding three digit numbers - with carrying. This video demonstrates adding 3-digit number to a 3-digit number without carrying.

**Changing the order of addends does not change the sum.**

46 + 17 = 63 |
17 + 46 = 63 |

**Adding 0 to a number does not change the number. **

142 + 0 = 142 |
0 + 176 = 176 |

How to add the numbers?

**Add: 4572 and 7255 **

**Step I:** Line up the numbers according to place value add the ONES

Add the TENS 7 + 5 = 12 TENS

REGROUP as 1 HUNDRED 2 TENS

Add the HUNDREDS

Add the THOUSANDS

4 + 7 = 11 Regroup

1 TEN THOUSAND 1 THOUSAND

We start from the right and move to the left when we are adding. After adding each place, we need to check. If the sum is 10 more, and then REGROUP.

How to add four digit numbers and check the answer? This video demonstrates adding 4-digit number to a 4-digit number with carrying.

How to check the answer of an addition sum?

From the sum, subtract the first ADDEND.

The answer of this subtraction will be the second addend.

We can even subtract the second ADDEND from the SUM to get the first ADDEND.

In addition we have already learned to add the numbers having one digit,
two digits, three digits and four digits in detail. Now we have to
learn the addition of numbers with more than four digits.

Let’s first revise the method of addition for 4-digit numbers or larger numbers.

**1.** Add 3127 and 1652

**Solution:**

(i) Sum of ones = 7 + 2

= 9 ones

(ii) Sum of tens = 2 + 5

= 7 tens

(iii) Sum of hundreds = 1 + 6

= 7 hundreds

(iv) Sum of thousands = 3 + 1

= 4 thousands

*Hence, sum = 4,779*

**2.** Add 37685 and 24739

**Solution:**

Hence, sum = 62,424

(i) Addition of ones 5 + 9 = 14

= 10 + 4

= 1 ten 4 ones

(ii) Addition of tens = 1 + 8 + 3

= 12 tens

= 1 H + 2 tens

(iii) Addition of hundreds = 1 + 6 + 7

= 14 H

1 Th 4 hundreds

(iv) Addition of thousands = 1 + 7 + 4

= 12 Th

= 1 Tth, 2Th

(v) Addition of T thousands = 1 + 3 + 2

= 6 Tth

*Hence, the addition sum = 62,424*

**3.** Add 67459 and 56678

**Solution:**

Hence, sum = 124137

(i) Ones ⇒ 9 + 8 = 17

= 1 ten 7 ones

(ii) Tens ⇒ 1 + 5 + 7 = 13

= 1 H + 3 tens

(iii) H ⇒ 1 + 4 + 6 = 11

= 1 Th + 1 H

(iv) Th ⇒ 1 + 7 + 6 = 14

= 1 Tth + 4 Th

(v) Tth ⇒ 1 + 6 + 5 = 12

= 1 L 2 Tth

*Hence, the addition sum = 124,137*

**4.** Find the sum of 583497, 275634 and 13205.

**Solution:**

(i) Sum of ones = 7 + 4 + 5 = 16 = 1T 6 ones

(ii) Sum of tens = 1 + 9 + 3 + 0 = 13 tens

= 1 H, 3 tens

(iii) Sum of hundreds = 1 + 4 + 6 + 2 = 13H

= 1 Th 3 H

(iv) Sum of thousands = 1 + 3 + 5 + 3 = 12 Th

= 1 Tth 2th

(v) Sum of Ten thousands = 1 + 8 + 7 + 1

= 17Tth

= 1 H 7 Tth

(vi) Sum of Hundred thousand = 1 + 5 + 2

= 8 Hundred thousands

*Hence, the sum = 872,336*

**5.** Add 67659 and 83458

*Hence, the sum = 151,117*

More examples to learn how to add 5-digit numbers to a 5-digit numbers by following this video.

**Remember:**

**(i) 9 hundreds + 8 hundreds**

9 hundreds

+ __ 8 hundreds__

17 hundreds → 1 thousand 7 hundreds

**(ii) 9 hundreds + 8 hundreds**

9 hundreds 9 hundreds

+ __ 15 tens __ + 1 hundreds + 5 tens

__ 10 hundreds + 5 tens __

= 10 hundreds + 5 tens → 1 thousands 5 tens

**(iii) 4 tens thousands + 19 thousands + 13 hundreds**

4 tens thousands → 4 tens thousands

+ 19 thousands → 1 ten thousands + 9 thousands

__+ 13 hundreds __ → __ + 1 thousand + 3 hundreds __

5 ten thousands + 10 thousands + 3 hundreds

(or) 6 ten thousands 3 hundreds

**Note:** **Addition is done only in the same groupings.**

**Questions and Answers on Addition:**

**I. Find the sum:**

(i) 15 thousands + 14 hundreds + 3 tens

(ii) 14 ten thousands + 4 thousands + 3 hundreds + 13 tens

(iii) 27 thousands + 37 thousands + 27 tens

(iv) 3 ten thousands + 14 thousands + 18 hundreds.

**Answer:**

**I.** (i) 16,430

(ii) 144430

(iii) 64270

(iv) 45800

**Related Concept**

● Addition

● Check for Subtraction and Addition

● Word Problems Involving Addition and Subtraction

● Estimating Sums and Differences

● Multiply a Number by a 2-Digit Number

● Multiplication of a Number by a 3-Digit Number

● Word Problems on Multiplication

● Division of Two-Digit by a One-Digit Numbers

● Division of Four-Digit by a One-Digit Numbers

● Division by 10 and 100 and 1000

● Division by Two-Digit Numbers

**4th Grade Math Activities**

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