Subtraction with Decomposition 2-Digit Number from 2-Digit Number

In subtraction with decomposition 2-digit number from 2-digit number we will learn how to regroup when subtracting two digit numbers. Here we will practice the subtraction and unlike these examples, we will do involve decomposition (borrowing from the left side column).


How to solve subtraction with decomposition – Tens and Units?

Consider the following examples on subtraction with decomposition (2-digit number from 2-digit number). Step-by-step we will learn subtracting two numbers with borrowing.

1. 32 - 17

In the problem we cannot subtract or take 7 from 2 in the ones place column since 7 is bigger than 2. Suppose, if you have only 2 mangoes, your sister can’t take 7 mangoes away from you. So, we need to use the process called decomposition. Decomposition happens or required when we borrow an amount from the number on the left to give it to the number on the right. We only apply this in the top row numbers.

What this means here is that we can’t take 7 from 2 so we borrow a ten from the next column along (the 3). We will take 10 off the left side number (3) and give it to the right side number (2). The 3 is in the tens column, so it represents 30 (3 × 10). Taking 10 off 30 leaves 20 (2) and adding 10 to 2 gives 12.

 32

-17

We can now subtract 7 from 12 in the ones column to get 5.

 32

-17

   5

Next, we subtract 1 from 2 in the tens column to get 1.

 32

-17

 15

And the difference is 32 – 17 = 15.



2. 56 - 29

In the problem we cannot subtract or take 9 from 6 in the ones place column since 9 is bigger than 6. Suppose, if you have only 6 mangoes, your sister can’t take 9 mangoes away from you. So, we need to use the process called decomposition. Decomposition happens or required when we borrow an amount from the number on the left to give it to the number on the right. We only apply this in the top row numbers.

What this means here is that we can’t take 9 from 6 so we borrow a ten from the next column along (the 5). We will take 10 off the left side number (5) and give it to the right side number (6). The 5 is in the tens column, so it represents 50 (5 × 10). Taking 10 off 50 leaves 40 (4) and adding 10 to 6 gives 16.

 56

-29

We can now subtract 9 from 16 in the ones column to get 7.

 56

-29

   7

Next, we subtract 2 from 4 in the tens column to get 2.

 56

-29

 27

And the difference is 56 – 29 = 27.





2nd Grade Math Practice

From Subtraction with Decomposition 2-Digit Number from 2-Digit Number to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Least Common Factor (LCM) | Factorization & Division Method

    Mar 25, 25 02:39 AM

    L.C.M. of 20, 30, 36 by Division Method
    We already familiar with the least common multiple which is the smallest common multiple of the numbers. The least (lowest) common multiple of two or more numbers is exactly divisible by each of the g…

    Read More

  2. 5th Grade Highest Common Factor | HCF | GCD|Prime Factorization Method

    Mar 24, 25 11:58 PM

    Find the H.C.F. of 12, 36, 48
    The highest common factor (H.C.F.) of two or more numbers is the highest or greatest common number or divisor which divides each given number exactly. Hence, it is also called Greatest Common Divisor…

    Read More

  3. 5th Grade Factors and Multiples | Definitions | Solved Examples | Math

    Mar 23, 25 02:39 PM

    Prime Factor of 312
    Here we will discuss how factors and multiples are related to each other in math. A factor of a number is a divisor which divides the dividend exactly. A factor of a number which is a prime number is…

    Read More

  4. Adding 2-Digit Numbers | Add Two Two-Digit Numbers without Carrying

    Mar 23, 25 12:43 PM

    Adding 2-Digit Numbers Using an Abacus
    Here we will learn adding 2-digit numbers without regrouping and start working with easy numbers to get acquainted with the addition of two numbers.

    Read More

  5. Worksheet on 12 Times Table | Printable Multiplication Table | Video

    Mar 23, 25 10:28 AM

    worksheet on multiplication of 12 times table
    Worksheet on 12 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More