When we add two or more numbers, we add digits of one’s place, ten’s place etc.  If the sum of digits of one’s place is more than 9, it contains the number having tens and ones, as 8 + 5 = 13 = 10 + 3, i.e., one ten and 3 ones. This one ten is carried over to the digit or digits in the ten’s place.

Solved examples 2-digit addition with carry-over are given in the following:

Solution:

 Tens         Ones        1         5              9 +     3              7        9              6 Therefore, sum of 59 and 37 = 96 (i) Digits at one’s place are added first i.e. 9 + 7 = 16 = 1 ten and 6 ones (ii) 1 (one) ten is carried over to ten’s side. (iii) Now digits at tens place are added i.e., 5 + 3 = 8 tens. To this sum i.e., 8, the carried over 1 ten is also added. Thus, 8 tens + 1 ten = 9 tens. (iv) Therefore, sum is 9 tens and 6 ones, i.e., 96.

Solution:

 Tens        Ones         1          6            5   +    4            7        11           2Therefore, sum of 65 and 47 = 112 (i) Digits at one’s place are added first i.e. 5 + 7 = 12 = 1 ten and 2 ones (ii) 1 (one) ten is carried over to ten’s side. (iii) Now digits at tens place are added i.e., 6 + 4 = 10 tens. To this sum i.e., 10, the carried over 1 ten is also added. Thus, 10 tens + 1 ten = 11 tens.(iv) Therefore, sum is 11 tens and 2 ones, i.e., 112.

Or

 6 5  =    6 tens   +   5 ones  +  4 7  =    4 tens   +   7 ones           =   10 tens   +  12 ones         = 10 tens + 1 ten + 2 ones           =   11 tens   +  2 ones           = 112 5 ones + 7 ones = 12 ones = 1 ten + 2 ones 6 tens + 4 tens = 10 tens 10 tens + 1 ten (carried over) = 11 tens The sum = 11 tens + 2 ones = 112

3. Word Problems on 2-Digit Addition with Carry Over:

(i) Ramesh brought 25 chocolate bars to shop. Suresh brought 27 chocolate toffees. How many chocolates are there in all ?

(ii) There are 34 boys and 29 girls in a class. How many students are there in the class?

(iii) Rohit has Rs 56 and Akash has Rs 39. How much money do they have altogether?

(iv) Ranjana has 28 pens, Rekha has 45 pens and Shashi has 14 pens. How many pens are there altogether?

(v) Section 2A has 32 children, section 2B has 28 children and section 2C has 17 children. How many children are there in all three sections?

(vi) There are 57 yellow beads, 16 red beads and 12 blue beads in a necklace. What is the total number of beads in the necklace?

3. (i) 52

(ii) 63

(iii) 95

(iv) 87

(v) 77

(vi) 85

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