Including 2-Digit Numbers with Regrouping |Add Two Two-Digit Numbers with
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Right here we are going to study including 2-digit numbers with regrouping
and begin working with straightforward numbers to get acquainted with the addition of two
numbers.
Regrouping Tens and
Ones:
Allow us to take the
following instance:
Sam has collected 24
leaves and Jane has 7 leaves. What number of leaves they’ve in all?
Learn how to add two two-digit numbers with carrying?
Allow us to comply with the steps and begin studying including 2-digit
numbers with regrouping with the assistance of those examples.
1. 45 + 37
(i) First prepare
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 those
place digits. Add (5 + 7 = 12). Place 2 within the ones column and place 1 above
the tens column as proven.
(iii) Then add
the tens’ place digits. Add (4 + 3 + 1 = 8) and place 8 within the tens column as
proven.
(iv) The reply of the sum 45 + 37 is 82.
Methodology II: 45 + 37
Add those place:
5 ones + 7 ones = 12 ones
Regroup 12 ones
12 ones = 10 ones + 2 ones
= 1 ten + 2 ones
Place 2 within the ones reply column
and place 1 within the tens carry-up column.
Add
the tens place:
4 tens +3 tens + 1 tens = 8 tens
Place
8 within the tens reply column.
So, including 45 + 37 = 82.
2. 58 + 39
(i) First prepare
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 those place digits. Add (8 + 7 = 17). Place 7 within the ones column and place 1 above the tens column as proven.
(iii) Then add
the tens’ place digits. Add (5 + 3 + 1 = 9) and place 9 within the tens column as
proven.
(iv) The reply of the sum 58 + 39 is 97.
Methodology II: 58 + 39
Add those place:
8 ones + 9 ones = 17 ones
Regroup 17 ones
17 ones = 10 ones + 7 ones
= 1 ten + 7 ones
Place 7 within the ones reply
column and place 1 within the tens carry-up column.
Add
the tens place:
5 tens +3 tens + 1 tens = 9 tens
Place
9 within the tens reply column.
So, including 58 + 39 = 97.
Regrouping Tens to
A whole lot:
We will write a 2-digit quantity in numerous methods by
regrouping tens and ones.
|
16 will be written as |
23 will be written as |
Subtraction with borrowing:
3. Allow us to subtract 5 from 23.
Step I: Prepare the numbers into tens and ones.
Step II: We can not subtract 5 from 3.
So, borrow 1 ten from the tens column.
1 ten = 10 ones.
Take these 10 ones to those column.
This offers: 10 + 3 = 13 ones
13 – 5 = 8
Step III: Subtract the tens.
Now since we borrowed 1 ten, we’re left with 1 ten within the tens column.
Thus, 23 – 5 = 18
4. Allow us to subtract 37 from 53.
Step I: Prepare the numbers into tens and ones.
Step II: We can not subtract 7 from 3.
So, borrow 1 ten from the tens column.
1 ten = 10 ones.
Take these 10 ones to those column.
This offers: 10 + 3 = 13 ones
13 – 7 = 6
Step III: Since we’ve borrowed 1 ten from 5 tens, we’re left with 4 tens. Now subtract 3 tens from 4 tens.
4 – 3 = 1
Thus, 53 – 37 = 16
When the sum of digits within the tens place is greater than 9, then we regroup the quantity in tens and tons of.
5. Allow us to add 93 and 21
10 tens is 100
|
6. Allow us to add 49 and 64. Add those and regroup 9 ones + 4 ones = 13 ones. 13 ones = 1 ten and three ones Write 3 in ones place and carry over 1 ten to the tens column. Add the tens 1 + 4 + 6 = 11 tens 11 tens = 1 hundred and 1 ten Write 1 ten at tens place and carry over 1 hundred to tons of column. |
 |
|
7. Allow us to add 28, 34 and Add those and 12 ones = 1 ten and a couple of Write 2 in ones place Add the tens 1 + 2 + 3 11 tens = 1 hundred Write 1 ten at tens |
 |
Questions and Solutions on Including 2-Digit Numbers with Regrouping:
1. Add the next Regrouping Tens and Ones:
(i) 34 + 8
(ii) 16 + 9
(iii) 38 + 5
(iv) 88 + 3
(v) 73 + 8
(vi) 49 + 3
Reply:
1. (i) 42
(ii) 25
(iii) 43
(iv) 91
(v) 81
(vi) 52
2. Add the next Regrouping Tens and Ones:
(i) 37 + 55
(ii) 37 + 26
(iii) 29 + 66
(iv) 56 + 27
(v) 19 + 73
(vi) 13 + 77
(vii) 62 + 29
(viii) 36 + 46
(ix) 28 + 17
(x) 25 + 47
(xi) 13 + 39
(xii) 54 + 17
Reply:
2. (i) 92
(ii) 63
(iii) 95
(iv) 83
(v) 92
(vi) 90
(vii) 91
(viii) 82
(ix) 45
(x) 72
(xi) 52
(xii) 71
3. Add the next Regrouping Tens to A whole lot:
(i) 76 + 92
(ii) 21 + 84
(iii) 99 + 86
(iv) 87 + 55
(v) 44 + 96
(vi) 59 + 66
(vii) 32 + 91
(viii) 41 + 77
(ix) 82 + 38
(x) 24 + 95
(xi) 90 + 60
(xii) 51 + 82
Reply:
3. (i) 168
(ii) 105
(iii) 185
(iv) 142
(v) 140
(vi) 125
(vii) 123
(viii) 118
(ix) 120
(x) 119
(xi) 150
(xii) 133
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