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
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.
Recent Articles
-
Fundamental Geometrical Concepts | Point | Line | Properties of Lines
Apr 19, 24 01:55 AM
The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples. -
What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral
Apr 18, 24 02:15 AM
What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments. -
Simple Closed Curves | Types of Closed Curves | Collection of Curves
Apr 18, 24 01:36 AM
In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves. -
Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles
Apr 18, 24 12:31 AM
Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o… -
Time Duration |How to Calculate the Time Duration (in Hours & Minutes)
Apr 17, 24 01:32 PM
We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.