Right here we’ll be taught subtracting 2-digit numbers with
borrowing. The subtractions with borrowing are solved step-by-step in 4
alternative ways.

When we have to subtract larger quantity from a smaller quantity in ones place, we regroup tens into ones.

Regrouping 

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

Allow us to perceive this with the assistance of an instance.

A shopkeeper sells bananas. He has 6 bunches of 10’s and 5 single bananas. 

Nairitee needs to purchase 37 bananas from the shopkeeper. The shopkeeper provides her 3 bunches of 10’s and breaks one bunch of 10’s to present 7 bananas.

The shopkeeper is now left with what number of bananas?

Column Methodology

Prepare the numbers in columns and subtract. In ones place, 5 is smaller than 7. We can not take away 7 from 5. So, we break one ten into 10 ones. Now we’ve, 15 ones in ones place and 5 tens in tens place. 

So, 65 – 37 = 28

Labored-out examples on subtracting 2-digit numbers with borrowing:

1. Subtract 9 from 15.

Resolution:

      T        O

      1        5

    –          9

Since, 5 < 9, so 9 can’t be subtracted from 5. So, 1 ten, i.e., 10 ones is borrowed from the digit 1 of tens place. Now one ten, i.e., 10 ones are added to five ones to make it 15 ones. Now 15 ones – 9 ones = 6 ones.

Subsequently, 15 – 9 = 6

2. Subtract 37
from 65

Resolution:

The numbers are positioned in column type, with the smaller
quantity 37 written beneath the better quantity 65.

           T        O

        1 T   →  10

           6        5

       –   3       
7

            2       8   

(i) first ones are subtracted as 5 < 7 or 7 > 5. So, 7
can’t be subtracted from 5.

(ii) Now 1 ten is borrowed from 6 tens leaving 5 tens there.

(iii) 1 ten = 10 ones. So, 10 ones are added to five ones
making the sum 15 ones

(iv) 7 ones are subtracted from 15 ones i.e., 15 ones – 7
ones = 8 ones. This 8 is written in a single’s column.

(v) Now tens are subtracted. At ten’s place there are 5 tens
left. So 5 tens – 3 tens = 2 tens. So, 2 is written in ten’s column.

(vi) Subsequently, 65 – 37 = 28.

3. Subtract 28
from 83

Resolution:

The smaller quantity 28 is written beneath better quantity 83 in
column type and ones are subtracted first, then the tens.

           T        O

        1 T  →   10

           8        3

       –   2       
8

            5       5   

(i) 3 < 8, so 1 ten, i.e., 10 ones are borrowed from 8
tens with 7tens remaining there.

(ii) Now, 1 ten + 3 = 10 + 3 = 13 ones. So, 13 ones – 8 ones
= 5 ones.

(iii) 7 tens – 2 tens = 5 tens.

Subsequently, 83 – 28 = 55

4. Subtract 69
from 92

Resolution:

The smaller quantity 69 is written beneath better quantity 92 in
column type and ones are subtracted first, then the tens.

           T        O

        1 T  →   10

           9        2

       –   6       
9

            2       3   

(i)  10 + 2 = 12; 12 O
– 9 O = 3 O

(ii) 8 T – 6 T = 2 T

Subsequently, 92 – 69 = 23

Subtraction with Borrowing:

5. Allow us to subtract 5 from 23.

Thus, 23 – 5 = 18

6. Allow us to subtract 37 from 53.

Thus, 53 – 37 = 16

Questions and Solutions on Subtracting 2-Digit Numbers with Borrowing (Regrouping):

1. Regrouping the tens and ones.

2. Subtracting 1-digit quantity from 2-digit quantity with regrouping.

(i) 38 – 9 = _____

(ii) 62 – 7 = _____

(iii) 44 – 6 = _____

(iv) 67 – 8 = _____

(v) 75 – 7 = _____

(vi) 94 – 8 = _____

(vii) 74 – 5 = _____

(viii) 51 – 2 = _____

(ix) 95 – 6 = _____

(x) 42 – 3 = _____

(xi) 53 – 4 = _____

(xii) 62 – 4 = _____

(xiii) 67 – 8 = _____

(xiv) 32 – 5 = _____

(xv) 22 – 9 = _____

(xvi) 93 – 3 = _____

Solutions:

2. (i) 29

(ii) 55

(iii) 38

(iv) 59

(v) 68

(vi) 86

(vii) 69

(viii) 49

(ix) 89

(x) 39

(xi) 49

(xii) 58

(xiii) 59

(xiv) 27

(xv) 13

(xvi) 90

3. Subtracting 2-digit quantity with regrouping.

(i) 80 – 17 = _____

(ii) 38 – 29 = _____

(iii) 71 – 34 = _____

(iv) 47 – 19 = _____

(v) 86 – 27 = _____

(vi) 65 – 47 = _____

(vii) 51 – 25 = _____

(viii) 62 – 37 = _____

(ix) 73 – 57 = _____

(x) 94 – 46 = _____

(xi) 46 – 28 = _____

(xii) 56 – 27 = _____

(xiii) 57 – 19 = _____

(xiv) 31 – 24 = _____

(xv) 41 – 16 = _____

(xvi) 53 – 29 = _____

Solutions:

3. (i) 63

(ii) 9

(iii) 37

(iv) 28

(v) 59

(vi) 18 

(vii) 26 

(viii) 25 

(ix) 16 

(x) 48 

(xi) 18

(xii) 29 

(xiii) 38

(xiv) 7

(xv) 25

(xvi) 24

4. Subtract.

Solutions:

4. (i) 17

(ii) 5

(iii) 35

(iv) 17

(v) 17

(vi) 8

(vii) 24 

(viii) 13

(ix) 14

(x) 49

2nd Grade Math Observe

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