Subtracting 3-Digit Numbers
Here we will learn subtracting 3-digit numbers. The subtractions are solved step-by-step in three different ways.
Worked-out examples on subtracting 3-digit numbers:
1. Subtract 263 from 486 (by arranging the numbers in expanded form in words)
Solution:
486 – 263 by arranging the numbers in expanded form in words
486 = 4 hundreds + 8 tens + 6 ones
- 263 = - 2 hundreds + 6 tens + 3 ones
= 2 hundreds + 2 tens + 3 ones
= 223
Steps to understand better:
(i) Subtracting one’s column = 6 ones - 3 ones = 3 ones
(ii) Subtracting tens column = 8 tens - 6 tens = 2 tens
(iii) Subtracting hundreds column = 4 hundreds - 2 hundreds = 2 hundreds
(iv) 2 hundreds + 2 tens + 3 ones = 223
2. Subtract 315
from 637 (by arranging the numbers in expanded form in figures)
Solution:
637 – 315 by arranging the numbers in expanded form in figures
637 = 600 + 30 + 7
- 315 = - 300 + 10 + 5
= 300 + 20 + 2
= 322
Steps to understand better:
(i) Subtracting one’s column = 7 - 5 = 2
(ii) Subtracting tens column = 30 - 10 = 20
(iii) Subtracting hundreds column = 600 - 300 = 300
(iv) 300 + 20 + 2 = 322
3. Subtract 434 from 789 (by placing the numbers in column form).
Solution:
789 – 434 by placing the numbers in column form
H T O 9 ones – 4 ones = 5 ones
7 8 9 8 tens – 3 tens = 5 tens
- 4 3 4 7 hundreds – 4 hundreds = 3 hundreds
3 5 5
Therefore, difference = 355
4. Subtract 405 from 697 by short method.
Solution:
697 – 405 by short method
H T O 7 O – 5 O = 2 O
6 9 7 9 T – 0 T = 9 T
- 4 0 5 6 H – 4 H = 2 H
2 9 2
Therefore, difference = 292
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