Addition

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.

$ADDENDS$

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

$place value add the ONES$

Step II:

Add the TENS 7 + 5 = 12 TENS

REGROUP as 1 HUNDRED 2 TENS

$1 HUNDRED 2 TENS$

Step III:

Add the HUNDREDS

$Add the HUNDREDS$

Step IV:

Add the THOUSANDS

4 + 7 = 11 Regroup

1 TEN THOUSAND 1 THOUSAND

$1 TEN THOUSAND 1 THOUSAND$

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.

$check the answer of an addition sum$

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.

$addition operation is called SUM$

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:

$Addition Worksheets$

(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:

$Addition Worksheet$

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:

$Addition Worksheet$

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:

$Addition Worksheet$

(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

$Addition Worksheet$

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

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