Subtracting 3-Digit Numbers with Borrowing

Here we will learn subtracting 3-digit numbers with borrowing. The subtractions with borrowing are solved step-by-step in four different ways.

Worked-out examples on subtracting 3-digit numbers with borrowing:

1. Subtract 239 from 425

Solution:

Smaller number is written under the greater number in column form for subtracting ones, tens, hundreds respectively.

(i) First ones are subtracted. Since, 9 > 5, so, 9 cannot be subtracted

from 5. So, 1 ten or 10 ones are borrowed from 2 tens leaving 1 ten

there. 1 ten = 10, now 10 + 5 = 15 ones.

15 ones – 9 ones = 6 ones.


Therefore, 6 is written in one’s column.

     H         T           O

               1 T   →   10

        4              2           5

 -   2          3           9

                             6

(ii) Now tens are subtracted. Since, 1 ten < 3 tens, so, 3 tens cannot be

subtracted from 1 ten. So, 1 hundred or 10 tens are borrowed from 4

hundred leaving 3 hundred there. Now, 10 tens + 1 tens = 11 tens,

11 tens – 3 tens = 8 tens.


Therefore, 8 is written in ten’s column.

       H            T            O

 1H → 10T            1T → 10

            4                2            5

 -     2            3            9

                    8             6

(iii) Now hundreds are subtracted.

Since, 3 hundred > 2 hundred,

So, 2 hundred is subtracted from 3 hundred.

3 hundred – 2 hundred = 1 hundred,

Therefore, 1 is written in hundred’s column.


Thus, 425 – 239 = 186

       H            T            O

 1H → 10T            1T → 10

            4                2            5

 -     2            3            9

       1            8             6


2. Subtract 457 from 832.

Solution:

832 – 457

                H             T             O

                8             3             2

         -     4              5             7

               3              7             5

(i) 457 is written under the greater number 832 in column form.

(ii) 2 < 7, so, 1 ten is borrowed from tens. 1 ten or 10 + 2 = 12 ones; 12 ones – 7 ones = 5 ones.

(iii) 3 tens – 1 ten = 2 tens, it is smaller than 5 tens. So, 1 hundred is borrowed from 8 hundred.

1 hundred or 10 tens + 2 tens = 12 tens; 12 tens – 5 tens = 7 tens.

(iv) 8 hundred – 1 hundred = 7 hundred; 7 hundred – 4 hundred = 3 hundred

Therefore, subtracting 3-digit numbers with borrowing 457 from 832 = 375




2nd Grade Math Practice

From Subtracting 3-Digit Numbers with Borrowing 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. Formation of Numbers | Smallest and Greatest Number| Number Formation

    Jul 15, 25 11:46 AM

    In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,

    Read More

  2. Formation of Square and Rectangle | Construction of Square & Rectangle

    Jul 15, 25 02:46 AM

    Construction of a Square
    In formation of square and rectangle we will learn how to construct square and rectangle. Construction of a Square: We follow the method given below. Step I: We draw a line segment AB of the required…

    Read More

  3. 5th Grade Quadrilaterals | Square | Rectangle | Parallelogram |Rhombus

    Jul 15, 25 02:01 AM

    Square
    Quadrilaterals are known as four sided polygon.What is a quadrilateral? A closed figure made of our line segments is called a quadrilateral. For example:

    Read More

  4. 5th Grade Geometry Practice Test | Angle | Triangle | Circle |Free Ans

    Jul 14, 25 01:53 AM

    Name the Angles
    In 5th grade geometry practice test you will get different types of practice questions on lines, types of angle, triangles, properties of triangles, classification of triangles, construction of triang…

    Read More

  5. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More