Adding 5-digit Numbers with Regrouping is the same as Adding 4-digit Numbers with Regrouping. Regrouping in 5-digit Addition means carrying the number from ones to tens, tens to hundreds, hundreds to thousands, and from thousands to ten thousand. Know about the Addition of five-digit numbers, 5 digit addition with regrouping. Learn the steps to add 5-digit Numbers with Regrouping from here.
Also, Refer: Addition of 5-Digit Numbers
Adding 5 – Digit Numbers with Regrouping
First, you have to know what is a 5-digit number. Five Digit numbers must have five place values from ones place to ten thousands place. The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. Learn the concepts of Adding 5 Digit Numbers with Carrying from this page. First, we have to arrange the numbers according to the place values and then start adding the numbers vertically. Practice for addition with 5-digit numbers with examples.
Example: Add the smallest 5-digit number and largest 5-digit number with regrouping.
Solution:
Ones place value
9 + 0 = 9
Put 9 in the ones place
Tens place value
9 + 0 = 9
So, 9 in the tens place
Hundreds place value
9 + 0 = 9
So, 9 in the hundreds place
Thousand place value
9 + 0 = 9
So, put 9 in thousands place.
Ten Thousand place value
9 + 1 = 10
Carry 1 to the Hundred thousand place
Thus the result is 109999.
How to Add 5-Digit Numbers with Regrouping?
There are certain steps to add 5 digit numbers with regrouping. They are as follows
1. First place the numbers according to the place value start from ones place.
2. Arrange the two 4-digit addends in order and add the numbers vertically.
3. Add the numbers in ones place if the result is more than 10 carry the tens place value to the next place value.
4. Add the numbers in tens place and also add the carried value and write the result.
5. If the result is greater than 10 carry the digit to hundreds place value.
6. Replicate the procedure until the ten thousands place.
7. If you get the 2-digit value in the ten thousands place then write the result in the next place value.
5-Digit Numbers Addition with Regrouping
Example 1.
Add the numbers 34521 and 41239 with Regrouping?
Solution:
Ones place value
1 + 9 = 10
Put 0 in ones place.
Carry the 1 to tens place value.
Tens place value
1 + 2 + 3 = 6
Put 6 in tens place value.
Hundreds place value
5 + 2 = 7
Put 7 in hundreds place value.
Thousands place value
4 + 1 = 5
Put 5 in Thousands place value
Ten Thousand place
3 + 4 = 7
Put 7 in Ten Thousands place value
Therefore the result is 75760
Example 2.
Add the numbers 10000, 55989, and 35698 with Regrouping?
Solution:
Ones place value
0 + 9 + 8 = 17
Put 7 in ones place.
Carry the 1 to tens place value.
Tens place value
1 + 0 + 8 + 9 = 18
Put 8 in tens place value.
Carry the 1 to the hundreds place.
Hundreds place value
1 + 0 + 9 + 6 = 16
Put 6 in hundreds place value.
Carry the 1 to the Thousands place.
Thousands place value
1 + 0 + 5 + 5 = 11
Put 1 in Thousands place value
Carry the 1 to the Ten Thousands place.
Ten Thousand place
1 + 1 + 5 + 3 = 10
Put 0 in Ten Thousands place value
Carry the 1 to the Hundred Thousands place.
Therefore the result is 101687
Example 3.
Add the numbers 14512 and 68234 with Regrouping?
Solution:
Ones place value
2 + 4 = 6
Put 6 in ones place.
Tens place value
3 + 1 = 4
Put 4 in tens place value.
Hundreds place value
2 + 5 = 7
Put 7 in hundreds place value.
Thousands place value
8 + 4 = 12
Put 2 in Thousands place value
Carry 1 to ten thousands place
Ten Thousand place
1 + 6 = 7
Put 7 in Ten Thousands place value
Therefore the result is 82746
Example 4.
Add the numbers 90620 and 12345 with Regrouping
Solution:
Ones place value
0 + 5 = 5
Put 5 in ones place.
Tens place value
2 + 4 = 6
Put 6 in tens place value.
Hundreds place value
6 + 3 = 9
Put 9 in hundreds place value.
Thousands place value
0 + 2 = 2
Put 2 in Thousands place value
Ten Thousand place
9 + 1 = 10
Put 0 in Ten Thousands place value
Carry the 1 to hundred thousand place.
Therefore the result is 102965
Example 5.
Add the numbers 98631 and 15329 with Regrouping
Solution:
Ones place value
1 + 9 = 10
Put 0 in ones place
Carry the 1 to tens place
Tens place value
1 + 3 + 2 = 6
Put 6 in Tens place
Hundreds place value
6 + 3 = 9
Put 9 in the Hundreds place
Thousands place value
8 + 5 = 13
Put 3 in Thousands place value
Carry the 1 to Ten Thousand place
Ten Thousand place
1 + 9 + 1 = 11
Put 1 in Ten Thousand place
Carry the 1 to Hundred Thousand place
Therefore the result is 113960
FAQs on Adding 5-digit Numbers with Carrying
1. How many 5 digit groups are there?
There are 90000, 5-digit numbers in the group of natural numbers.
2. How do you explain regrouping in addition?
Regrouping can be defined as the process of making groups of tens when carrying out operations like addition with 5-digit numbers. To regroup means to rearrange groups in place value to carry out an operation.
3. How do you solve 5 digit addition?
First, arrange the numbers as per the place value from ones place to ten thousands place. And then start adding the numbers with or without regrouping.