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Right here we’ll study including 2-digit numbers with regrouping

and begin working with simple 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?

**Methods to add two two-digit numbers with carrying?**

Allow us to observe 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**.

**Technique 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**.

**Technique 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 Tons of:

When the sum of digits within the tens place is greater than 9, then we regroup the quantity in tens and tons of.

**3. Allow us to add 93 and 21**

10 tens is 100

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. |

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 Tons of:**

(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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