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Right here we are going to be taught including 2-digit numbers with out regrouping
and begin working with straightforward numbers to get acquainted with the addition of two
numbers.
We’re going to begin working with the essential addition of two-digits with every little thing organized as a result of that is what we are going to at all times do with larger numbers in future.
Addition of 2-digit
Numbers
Allow us to learn to add 2-digit numbers
Utilizing an Abacus
For instance:
1. Allow us to add 31 and 27 utilizing an abacus.
|
Step 1: Put those beads collectively. 1 + 7 = 8 |
Step 2: Put the tens beads collectively. 3 + 2 = 5 We get the quantity 58. |
Thus, 31 + 27 = 58
2. Allow us to add 45 and 50 utilizing an abacus.
|
Step 1: Put those beads collectively. 5 + 0 = 5 |
Step 2: Put the tens beads collectively. 4 + 5 = 9 We get the quantity 95. |
Thus, 45 + 50 = 95
add two two-digit numbers with out carrying?
Let’s comply with the steps and begin studying including 2-digit numbers with out regrouping with the assistance of an instance.
1. Allow us to add 22 and 36.
|
Step I: Write every digit of numbers in place worth columns. |
 |
|
Step II: (i) Add those and write within the as soon as place. 2 ones + 6 ones = 8 ones. (ii) Add the tens and write within the tens place. 2 tens + 3 tens = 5 tens. |
 |
Reply: 22 + 36 = 58
Addition
with out carrying:
2. Allow us to add 72 and a pair of.
First add those after which the tens.
Thus, 72 + 2 = 74
3. Allow us to add 32 and 27.
Step 1: Organize the numbers in tens and ones.
|
Step 2: Add those. |
Step 3: Add the tens. |
 |
 |
Thus, 32 + 27 = 59
4. 26 + 41
(i) Organize the numbers vertically in order that the tens’ place digits and ones’ place digits are lined up which suggests in easy one quantity must be written above the opposite quantity.
Draw a line below
the underside quantity.
(ii) Add first those’ place
digits. (6 + 1 = 7).
(iii) Then add the tens’ place
digits. (2 + 4 = 6).
(iv) The reply of 26 + 41 =
67.
Technique II: 26 + 41
26 = 2 tens + 6 unit → addend
+ 41 = 4 tens + 1 unit → addend
67 = 6 tens + 7 unit → sum
So, including 26 + 41 =
67.
Observe the steps of one other instance
of including 2-digit numbers.
5. 53
+ 32
(i) Organize the numbers vertically
in order that the tens’ place digits and ones’ place digits are lined up which suggests in
easy one quantity must be written above the opposite quantity. Draw a line below
the underside quantity.
(ii) Add first those’ place
digits. (3 + 2 = 5).
(iii) Then add the tens’ place
digits. (5 + 3 = 8).
(iv) The reply of 53 + 32 = 85.
Technique II: 53 + 32
53 = 5 tens + 3 unit → addend
+ 32 = 3 tens + 2 unit → addend
85 = 8 tens + 5 unit → sum
So, including 53 + 32 = 85.
6. Allow us to now think about addition of three numbers 12, 14 and 53
|
Step I: Write every digit of numbers in place worth columns. Step II: (i) Add those and write within the as soon as place. 2 ones + 4 ones + 3 ones = 9 ones. |
 |
|
(ii) Add the tens and 1 ten + 1 ten + 5 tens
|
 |
Reply: 12 + 14 + 53 = 79
Regrouping
We are able to write a 2-digit quantity in numerous methods by regrouping it into tens and ones.
16 may be written as
Addition
with Carrying
7. Add
6 and 4.
Since we can not have greater than 9 beads within the ones rod, we
change 10 ones to 1 ten and 0 ones.
Thus, 6 + 4 = 10
8. Add
58 and 34.
Step 1: Organize the numbers in tens and ones.
|
Step 2: Now, add those. 8 ones + 4 ones = 12 ones Since 12 is greater than 9, we modify it to tens and ones. 12 ones = 1 ten + 2 ones. Add. Carry over if wanted. Write 2 within the ones place and carry over 1 ten to the tens |
 |
|
Step 3: Then, add the tens. 5 tens + 3 tens = 8 8 tens + 1 ten carried over = 9 tens Write 9 within the tens place. Thus, 58 + 34 = 92 |
 |
Addition of Greater than Two 2-Digit Numbers
With out Carrying
9. 16 + 32 + 21 = ?
|
Step I: Organize the numbers in tens and ones. |
Step II: Add those. |
Step III: Add the tens. |
 |
 |
 |
Thus, 16 + 32 + 21 = 69
Addition of Greater than Two 2-Digit Numbers
With Carrying
10. 45 + 17 + 30 = ?
Step I: Organize the numbers in tens and ones.
|
Step II: Add those.  |
Step III: Add the tens.  |
Thus, 45 + 17 + 30 = 92
Regrouping Tens
140 may be written as
|
140 may be written as |
 |
or 1 hundred + 4 tens = 140
Someday after we add two 2-digits numbers, we get a 3-digit quantity.
11. Add 60 and 40.
First put those beads collectively.
0 + 0 = 0
Then, put the tens beads collectively.
6 tens + 4 tens = 10 tens
Since we can not have greater than 9 beads within the tens rod,
we modify 10 tens to 1 hundred.
Thus, 60 + 40 = 100
12. Add 85 and 42.
Step 1: Organize the quantity in tens and ones
Step 2: Add those. 5 + 2 = 7
Step 3: Add the tens.
8 tens + 4 tens = 12 tens.
Regroup 12 tens into I hundred and a pair of tens.
Write I within the lots of place and a pair of within the tens place.
Thus, 85 + 42 = 127
Addition With Carrying Twice
12. Add 69 and 55
Step 1: Organize the numbers in tens and ones.
|
Step 2: Add those |
Step 3: Add the tens. |
Step 4: Add the lots of. |
 |
 |
 |
Thus, 69 + 55 = 124
Questions and Solutions on Including 2-Digit Numbers with out Regrouping:
Addition of 2-Digit Numbers with out Regrouping:
1. Discover the sum of the 2 2-Digit Numbers.
(i) 25 + 11
(ii) 14 + 32
(iii) 44 + 31
(iv) 53 + 22
(v) 16 + 12
(vi) 31 + 46
Reply:
1. (i) 36
(ii) 46
(iii) 75
(iv) 75
(v) 28
(vi) 77
2. Discover the sum of the three 2-Digit Numbers.
(i) 34 + 11 + 23
(ii) 45 + 22 + 31
(iii) 53 + 14 + 32
(iv) 11 + 22 + 33
(v) 71 + 14 + 13
(vi) 33 + 13 + 32
(vii) 23 + 45 + 11
(viii) 61 + 24 + 13
(ix) 54 + 13 + 22
(x) 44 + 11 + 10
Reply:
2. (i) 68
(ii) 98
(iii) 99
(iv) 66
(v) 98
(vi) 78
(vii) 79
(viii) 98
(ix) 89
(x) 65
3. Addition of 2-Digit Numbers with out Regrouping:
|
(i) |
T O 1 6 + 2 2 ________ |
(ii) |
T O 2 3 + 3 1 ________ |
|
(iii) |
T O 4 6 + 1 1 ________ |
(iv) |
T O 6 4 + 3 1 ________ |
|
(v) |
T O 7 1 + 2 6 ________ |
(vi) |
T O 3 3 + 5 5 ________ |
|
(vii) |
T O 6 4 + 2 2 ________ |
(viii) |
T O 5 7 + 3 2 ________ |
|
(ix) |
T O 2 1 + 1 6 ________ |
(x) |
T O 1 6 + 5 3 ________ |
Reply:
3. (i) 38
(ii) 54
(iii) 57
(iv) 95
(v) 97
(vi) 88
(vii) 86
(viii) 89
(ix) 37
(x) 69
4. Add the next 2-Digit Numbers with Carry Over if wanted.
|
(i) |
T O 2 7 + 3 4 ________ |
(ii) |
T O 1 4 + 1 8 ________ |
|
(iii) |
T O 3 8 + 3 5 ________ |
(iv) |
T O 6 7 + 2 5 ________ |
|
(v) |
T O 2 2 + 2 9 ________ |
(vi) |
T O 6 9 + 2 4 ________ |
|
(vii) |
T O 5 7 + 3 3 ________ |
(viii) |
T O 2 1 + 1 9 ________ |
|
(ix) |
T O 5 6 + 3 8 ________ |
(x) |
T O 4 4 + 2 4 ________ |
Reply:
4. (i) 61
(ii) 32
(iii) 73
(iv) 92
(v) 51
(vi) 93
(vii) 90
(viii) 40
(ix) 94
(x) 68
5. Add the next greater than two 2-Digit Numbers with Carry Over if wanted.
|
(i) |
T O 2 1 4 0 + 2 2 ________ |
(ii) |
T O 1 5 1 2 + 1 1 ________ |
|
(iii) |
T O 3 4 2 2 + 1 2 ________ |
(iv) |
T O 4 2 3 3 + 1 2 ________ |
|
(v) |
T O 1 1 2 2 + 3 5 ________ |
(vi) |
T O 2 1 2 5 + 1 0 ________ |
|
(vii) |
T O 3 0 2 8 + 1 0 ________ |
(viii) |
T O 3 2 2 0 + 1 4 ________ |
|
(ix) |
T O 1 5 6 1 + 1 2 ________ |
(x) |
T O 4 3 2 0 + 2 2 ________ |
|
(xi) |
T O 3 8 2 0 + 3 8 ________ |
(xii) |
T O 3 2 1 8 + 2 9 ________ |
|
(xiii) |
T O 1 7 2 8 + 4 0 ________ |
(xiv) |
T O 3 6 2 0 + 1 8 ________ |
Reply:
5. (i) 83
(ii) 38
(iii) 68
(iv) 87
(v) 68
(vi) 56
(vii) 68
(viii) 66
(ix) 88
(x) 85
(xi) 96
(xii) 79
(xiii) 85
(xiv) 74
6. Add the next 2-Digit Numbers with Carrying Twice.
|
(i) |
H T O 4 0 + 6 1 ______________ |
(ii) |
H T O 9 2 + 2 5 ______________ |
|
(iii) |
H T O 8 4 + 4 2 ______________ |
(iv) |
H T O 6 3 + 7 6 ______________ |
|
(v) |
H T O 9 1 + 5 2 ______________ |
(vi) |
H T O 2 5 + 8 2 ______________ |
|
(vii) |
H T O 7 6 + 5 1 ______________ |
(viii) |
H T O 5 1 + 5 1 ______________ |
|
(ix) |
H T O 9 5 + 9 6 ______________ |
(x) |
H T O 6 7 + 5 3 ______________ |
|
(xi) |
H T O 3 4 + 7 9 ______________ |
(xii) |
H T O 4 8 + 8 5 ______________ |
|
(xiii) |
H T O 9 1 + 5 9 ______________ |
(xiv) |
H T O 8 3 + 2 8 ______________ |
|
(xv) |
H T O 5 6 + 7 6 ______________ |
(xvi) |
H T O 4 7 + 6 8 ______________ |
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