Including 2-Digit Numbers | Add Two Two-Digit Numbers with out Carrying
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Right here we’ll 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 all the things organized as a result of that is what we’ll all the time do with greater numbers in future.
Addition of 2-digit
Numbers
Allow us to discover ways 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
How you can add two two-digit numbers with out carrying?
Let’s observe 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 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.
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 ought to be written above the opposite quantity.
Draw a line underneath
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.
Methodology 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.
Comply with 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 ought to be written above the opposite quantity. Draw a line underneath
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.
Methodology 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 take into account 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. |
Reply: 12 + 14 + 53 = 79
Regrouping
We will write a 2-digit quantity in numerous methods by regrouping it into tens and ones.
16 could 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 alter 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 = ?
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.
Thus, 45 + 17 + 30 = 92
Regrouping Tens
140 could be written as
or 1 hundred + 4 tens = 140
Someday once 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 alter 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 tons 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.
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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