Thursday, November 30, 2023

# 2-Digit Addition with Carry Over

After we add two or extra numbers, we add digits of 1’s
place, ten’s place and many others.  If the sum of
digits of 1’s place is greater than 9, it comprises the quantity having tens and
ones, as 8 + 5 = 13 = 10 + 3, i.e., one ten and three ones. This one ten is carried
over to the digit or digits within the ten’s place.

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

Resolution:

 Tens         Ones         1         5              9  +     3              7         9              6  Subsequently, 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 10’s aspect. (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 can be added. Thus, 8 tens + 1 ten = 9 tens. (iv) Subsequently, sum is 9 tens and 6 ones, i.e., 96.

Resolution:

 Tens        Ones          1          6            5    +    4            7         11           2 Subsequently, sum of 65 and 47 = 112 (i) Digits at one’s place are added first i.e. 5 + 7 = 12 = 1 ten and a couple of ones (ii) 1 (one) ten is carried over to 10’s aspect. (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 can be added. Thus, 10 tens + 1 ten = 11 tens. (iv) Subsequently, sum is 11 tens and a couple of 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. Phrase Issues on 2-Digit Addition with Carry Over:

(i) Ramesh introduced 25 chocolate bars to buy. Suresh introduced 27 chocolate toffees. What number of sweets are there in all ?

(ii) There are 34 boys and 29 women in a category. What number of college students are there within the class?

(iii) Rohit has Rs 56 and Akash has Rs 39. How a lot cash have they got altogether?

(iv) Ranjana has 28 pens, Rekha has 45 pens and Shashi has 14 pens. What number of pens are there altogether?

(v) Part 2A has 32 youngsters, part 2B has 28 youngsters and part 2C has 17 youngsters. What number of youngsters are there in all three sections?

(vi) There are 57 yellow beads, 16 crimson beads and 12 blue beads in a necklace. What’s the whole variety of beads within the necklace?

3. (i) 52

(ii) 63

(iii) 95

(iv) 87

(v) 77

(vi) 85

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