Learn to arrange for adding numbers in expanded form (in short form and in long form). The numbers are written in column form; the digits are arranged in expanded form and then finally find the sum of the given numbers.
Solved examples on adding numbers in expanded form:
1. Add 32 and 25
Solution:
Numbers are written in column form T O
3 2
+ 2 5
5 7
Adding ones: 2 ones + 5 ones = 7 ones
This 7 is written in one’s column.
Adding tens: 3 tens + 2 tens = 5 tens
This 5 is written in tens column.
Thus, answer is 57
2. In other way, add the expanded form of the numbers 32 + 25
Solution:
32 = 30 + 2 Expanded form of the numbers
+ 25 = 20 + 5
= 50 + 7
= 57
The numbers are written in expanded form as 32 = 30 + 2 and 25 = 20 + 5.
Now digits of one’s place are added, i.e., 2 + 5 = 7.
Again numbers of ten’s place are added, i.e., 30 + 20 = 50
Therefore, total sum = 50 + 7 = 57
3. Add 63 and 35 in long form.
Solution:
Numbers are placed in column
63 Sum of digit of one’s place = 3 ones + 5 ones = 8 ones
+ 35 Sum of digit of ten’s place = 6 ten’s + 3 ten’s = 9 ten’s
Therefore, sum = 98 = 9 ten’s + 8 ones
4. Add 38 and 61 in short form.
Solution:
38 Sum of digit of one’s place = 8 + 1 = 9
+ 61 Sum of digit of ten’s place = 30 + 60 = 90
Therefore, sum = 99 = 90 + 9
5. Add 23, 31 and 44
Solution:
23 Sum of digit of one’s place = 3 + 1 + 4 = 8
+ 31 Sum of digit of ten’s place = 2 + 3 + 4 = 9
+ 44
Therefore, sum = 98
More solved examples on 3-digits for adding numbers in expanded form.
6. Add 314 and 563
Solution:
First the digits are arranged in columns
Sum of digit of one’s place = 4 + 3 = 7
Sum of digit of ten’s place = 1 + 6 = 7
Sum of digit of hundred’s place = 3 + 5 = 8
314
+ 563
Therefore, sum = 877
7. Add 361 and 527 by arranging the numbers in expanded form.
Solution:
361 = 3 hundreds + 6 tens + 1 one + 527 = 5 hundreds + 2 tens + 7 one Sum = 8 hundreds + 8 tens + 8 one =888 |
or, 361 = 300 + 60 + 1
+ 527 = 500 + 20 + 7 Sum = 800 + 80 + 8 = 888 |
8. Add 231, 402 and 355
Solution:
231 ones = 1 + 2 + 5 = 8
+ 402 tens = 3 + 0 + 5 = 8
+ 355 hundreds = 2 + 4 + 3 = 9
Therefore, addition sum = 988
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