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Introduction to 3-Digit Addition Sums
What do you understand by the term, “putting things together”? The term “putting things together” is used for addition. In 3-digit addition, we must arrange the given numbers into columns according to their appropriate place values, such as ones, tens, hundreds, thousands, and so forth. When adding, it’s important to remember that the addends are the numbers being added, and the sum is the outcome of the addition. Addition with carry 3 digit or without regrouping using the basic rules of addition. Let us learn more about 3-digit addition in this article.
Addition of numbers
What is 3-Digit Addition?
When adding numbers, be sure that at least one addend or all of the addends contain three digits. By placing the three-digit numbers in columns according to their place values, we can add them. Then, after combining the numbers from the ones and tens columns, we go to the hundreds column. This process is termed as 3-digit addition.
Steps for 3-Digit Addition
Let us see the basic steps that are followed in 3-digit addition.
Step 1: Place the given numbers (addends) one below the other so that they fall correctly under the ones, tens, and hundreds columns.
Step 2: Start adding the numbers from right to left, beginning from the ones column, followed by the tens column and then the hundreds column.
Step 3: After all the columns are added, we get the numbers’ sum.
Addition of 3-digit number
Addition of 3-Digit Number with Carry
Regrouping is another name for carrying over. In addition, when the sum of the addends is greater than 9 in any of the columns, we regroup the numbers and carry over the extra digit to the preceding column. Let us understand this with the help of the following example, let us add 673 and 273.
Let us understand 3-digit addition with regrouping using the following steps:
Step 1: Add the numbers in the ones column as a first step. 3 + 3 = 6. Then, in the ones column, enter 6.
Step 2: Add the numbers in the tens column in step two. 7 + 7 = 14. Place 1 in the hundreds column and 4 in the tens column. We took this step because adding 7 and 7 results in 14, but we are only allowed to write one digit beneath each column, so we cannot put 14 in the tens column. So, we add the number 14 together.
For this, we position the 4 in the matching column of tens, and the 1 on top of the column of hundreds (the preceding column). In other words, when we get two-digit integers as the total, we carry the tens digit to the next column to the left and place the ones digit in the corresponding column. This carry-over is included in the addition in the column where it is listed.
Step 3: Add the numbers in the hundreds column in step three. Thus, 6 + 2 + 1 (carryover) equals 9. The carry-over is added together with the other addends after being positioned in the hundreds column.
The result of adding 673 and 273 is 946.
The sum of the numbers 673 and 273 is 946
Add 2 and $dfrac{2}{3}$
Below is the addition of 2 and $dfrac{2}{3}$:
Given,
2 + $dfrac{2}{3}$
$=dfrac{2}{1}+dfrac{2}{3}$
$=dfrac{2 times 3}{1 times 3}+dfrac{2}{3}$
Here we have equalized the denominator of both numbers.
$=dfrac{6}{3}+dfrac{2}{3}$
$=dfrac{6+2}{3}$
$=dfrac{8}{3}$
Thus the addition of 2 and $dfrac{2}{3}$ gives the result of $dfrac{8}{3}$.
Solved Examples on Addition by Carry 3-Digit
Here are examples of addition with carry 3-digit, which are as follows:
Q1. Add 782 to 150.
Ans:
Addition of 782 and 150
Therefore, addition of 782 and 150 is 932.
Q2. Add 859 to 356.
Ans:
Addition of 859 and 356
Thus adding 859 to 356 gives 1215.
Practice Questions
Here is given the addition of the 3-digit numbers worksheet:
Q1. Add 654 to 543.
Ans. 1197
Q2. Add 852 to 159.
Ans. 1011
Q3. Add 846 to 423
Ans. 1269
Q4. Add 745 to 452
Ans. 1197
Q5. Add 564 to 127
Ans. 691
Summary
3-digit addition is the addition of numbers here either one or all the addends are of 3 digits. We usually use the column addition method to add 3-digit numbers, where we place the given addends one below the other according to their place values and start adding them, beginning from the ones column, then moving on to the tens column and then the hundreds column. In this, we have also gone through the addition of a 3-Digit number with carry. In the end, we added some solved examples and practice problems to have better command over the topic.
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Categories: Math
