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 3digit number to a 3digit number without carrying.
Adding three digit numbers  with carrying. This video demonstrates adding 3digit number to a 3digit 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 4digit number to a 4digit 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 4digit 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 5digit numbers to a 5digit numbers by following this video.
Related Concept
● Addition
● Check for Subtraction and Addition
● Word Problems Involving Addition and Subtraction
● Estimating Sums and Differences
● Multiply a Number by a 2Digit Number
● Multiplication of a Number by a 3Digit Number
● Word Problems on Multiplication
● Division of TwoDigit by a OneDigit Numbers
● Division of FourDigit by a OneDigit Numbers
● Division by 10 and 100 and 1000
● Division by TwoDigit Numbers
4th Grade Math Activities
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