Here we will learn numbers having 3-digit addition with carry-over. The additions are solved in three different ways.
Worked-out examples on 3-digit addition with carry-over:
1. Add together 248, 489 and 222 using expanded method in words.
Solution:
By expanding the numbers;
248 = 2 hundreds + 4 tens + 8 ones
489 = 4 hundreds + 8 tens + 9 ones
+ 222 = 2 hundreds + 2 tens + 2 ones
Sum = 8 hundreds + 14 tens + 19 ones
= 8 hundreds + 14 tens + (1 ten) 9 ones
= 8 hundreds + 15 tens + 9 ones
= 8 hundreds + (1 hundred) 5 tens + 9 ones
= 9 hundreds + 5 tens + 9 ones
= 959
Therefore, sum = 959
Steps to understand
better:
(i) Adding one’s column = 8 + 9 + 2 = 19 ones = 1 tens 9 ones
(ii) Adding ten’s column = 4 + 8 + 2 = 14 tens = 1 hundred 4 tens
(iii) Adding hundred’s column = 2 + 4 + 2 = 8 hundreds
(iv) Carrying over 1 ten to ten’s column, 14 tens + 1 ten = 15 tens
= 1 hundred + 5 tens
(v) Carrying over 1 hundred to hundred column, 8 hundred + 1 hundred = 9 hundred
(vi) We get as sum, 9 hundreds + 5 tens + 9 ones = 959.
2. Add together 375, 167 and 253 using expanded method in figures.
Solution:
By expanding the numbers;
375 = 300 + 70 + 5
167 = 100 + 60 + 7
+ 253 = 200 + 50 + 3
Sum = 600 + 180 + 15
= 600 + (100 + 80) + (10 + 5)
= 600 + (100 + 90) + 5
= 700 + 90 + 5
= 795
Therefore, sum = 795
Steps to understand better:
(i) Adding one’s column = 5 + 7 + 3 = 15 ones = 10 + 5
(ii) Adding ten’s column = 70 + 60 + 50 = 180 = 100 + 80
(iii) Adding hundred’s column = 300 + 100 + 200 = 600
(iv) 600 + (100 + 80) + (10 + 5)
(v) 700 + 90 + 5
(vi) We get as sum = 795.
3. Add together 315, 432 and 197 in short method.
Solution:
By short method;
3 1 5
+ 4 3 2
+ 1 9 7
Sum = 8 13 14
= 8 13 ← 1 T + 4
= 8 + 14 + 4
= 8 ← 1 H + 4 + 4
= 9 H + 4 T + 4
Therefore, sum = 944
Steps to understand 3-digit addition with carry-over using short method:
(i) Adding one’s column = 5 + 2 + 7 = 14 = 1 tens 4 ones
(ii) Adding ten’s column = 1 + 3 + 9 = 13 tens = 1 hundred 3 tens
(iii) Adding hundred’s column = 3 + 4 + 1 = 8 hundreds
(iv) Carrying over 1 ten to ten’s column from one’s column 13 + 1 = 14 T = 1 H 4 T
(v) Carrying over 1 hundred to hundred column from ten’s column 8 + 1 = 9
(vi) We get as sum = 944.
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