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.
Dec 12, 24 09:20 AM
Dec 09, 24 10:39 PM
Dec 09, 24 01:08 AM
Dec 08, 24 11:19 PM
Dec 07, 24 03:38 PM
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.