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Last updated date: 25th Feb 2024
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## A Brief Explanation of Addition and Subtraction

What do you understand by the term, "putting things together"? The term "putting things together'' is used for addition. Removing things from a group of several things is equivalent to subtraction. In this article, we will be learning about 3-digit addition and subtraction by making use of several creative images for a better understanding of the topic. Some 3-digit addition worksheets, along with addition practice problems are assigned for getting a hold of the concepts. Let us now begin with the learning.

In performing 3-digit addition or subtraction, one needs to place the given numbers into columns according to their respective place values, like ones, tens, hundreds, thousands, and so on.

While performing addition, one should keep in mind that the numbers being added are known as addends, and the result of their addition is known as the sum.

While performing subtraction, one should keep in mind that the numbers being subtracted are known as subtrahend, the number from which the subtrahend is subtracted is known as minuend, and the result of their subtraction is known as the difference.

## Steps to Solve 3-Digit Addition

If one wishes to add three-digit numbers, then the addition always adds the digits according to the place value. Some steps to carry out the operation are given:

• Arrange the given numbers in columns based on their place value

• Beginning with ones location and progressing to tens and hundreds place

• If the problem involves regrouping, i.e. the sum is greater than 9, then put the tens digit of the sum onto the successive digit

• Now, add the digits on which the carry is put, and finally, add the carry also to get the required sum at that place value

• Repeat the same process till the addition of all the digits does not take place.

For Example: If we wish to add 526 and 214. We start this addition by placing the numbers in column form based on their place value. Then add 6 and 4 to obtain 10, which is greater than 9, so we will use regrouping. It will add 1 to the sum of tens place digits, i.e. 2+1+1, which gives the result as 4. Now take the sum of 5 and 2, which will give 7. So, the addition of 526 and 214 is 740.

## Steps to Solve 3-Digit Subtraction

The following are the steps for solving the subtraction of 3-digit numbers:

• Arrange the given numbers in columns based on their place value

• Starting with the ones place and then moving to tens, and hundreds place

• If the problem involves borrowing, i.e. the ones place of minuend is less than the ones place of subtrahend, then borrow the carry from the successive digit, which after providing borrowing reduces by 1

• Repeat the same process, till the complete subtraction of the digits does not take place.

For example: If we wish to subtract 203 and 110. We will start the subtraction from the right by placing the numbers according to their place values, i.e. 3-0 to obtain 3. As 0 is less than 1, we will borrow a carry of 1 from 2 and then subtract 1 from 10 to get 9. Now 1 is left at the place of 2, taking its difference with 1 results in 0. So, the difference between 203 and 110 is 93.

### Solved Examples

Q 1. Add 436 + 486.

Ans: Some steps to carry out the addition are given:

• Arrange the given numbers in columns based on their place value

• Begin the addition from the ones place, i.e. 6 and 6

• As the problem involves regrouping i.e. the sum of 6 and 6 is 12, which is greater than 9, thus put the tens digit of the sum, i.e. 1 onto the successive tens digit

• Now, add the tens place digits, i.e. 3 and 8, and also add one carry to obtain the sum

• Put the carry of tens place, i.e. 1, onto the digits at hundreds place and repeat the addition process, i.e. 4 and 4 with one carry.

Thus, the result of the addition of the three-digit problem is 922.

Ques 2. Subtract 326 and 103.

Ans: Some steps to carry out the operation are given:

• Arrange the given numbers in columns based on their place value

• Starting the subtraction with the ones place, i.e. 6 and 3

• As the problem does not require any borrowing, so moving to the tens place and proceeding to calculate the difference between 2 and 0, which is 2

• Then moving to the hundreds place and subtracting 3 and 1, we get 2

Thus, the result of the three-digit subtraction problem is 223.

### Subtraction and Addition Practice Problems

Ans: 232

Q 2. Add 600 + 450.

Ans: 1050

Q 3. Subtract 512 - 100.

Ans: 412

Q 4. State true or false: 650 + 420 = 1070.

Ans: True

3-digit addition with a carryover worksheet is given, which needs to be solved by the students themselves, without any help.

Worksheet

## Summary

To wrap up here with the topic of 3-digit addition and subtraction. Mathematics deals with the grouping of numbers according to their place value to perform a particular arithmetic operation. This article has discussed in detail the steps performed to add and subtract a three-digit number. Some 3-digit addition with carryover worksheets are also assigned to the students for practice and to get hold of the concepts. I Hope you find it useful to read the article. Feel free to put your doubts in the comments.

## FAQs on 3-Digit Addition and Subtraction

1. What do you understand by the regrouping of subtraction sums in mathematics?

Regrouping in mathematics is similar to that borrowing. It is also known as arranging numbers in columns of tens and ones for subtraction. Subtraction with regrouping is also known as carrying subtraction.

2. Why is 3-digit addition with regrouping significant to learn?

3-digit addition with regrouping is significant to learn for kids because it assists them in learning the systematic way of adding the values. It also helps them master the concepts of place value. It makes possible the addition when the sum of digits of a particular place value exceeds 9.