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Wednesday, June 7, 2023

# Multiplying 2-Digit Quantity by 1-Digit Quantity

Right here we’ll be taught multiplying 2-digit quantity by 1-digit
quantity. In two alternative ways we’ll be taught to multiply a two-digit quantity by a
one-digit quantity.

Examples of multiplying 2-digit quantity by 1-digit quantity with out Regrouping:

We can have a fast overview of multiplication of 2-digit quantity by 1-digit quantity with out regrouping:

1. Multiply 24 by 2.

 T     O                2     4             ×        2                4     8 First multiply those by 2. 4 × 2 = 8. Write 8 below O. Now multiply the tens by 2. 3 × 3 = 9. Write 9 below T.

2. Multiply 34 and a pair of

Resolution:

 Step I: Organize the numbers vertically. Step II: First multiply the digit on the ones place by 2. 2 × 4 = 8 ones Step III: Now multiply the digit on the tens place by 2. 2 × 3 = 6 tens  Thus, 34 × 2 = 68

3. Multiply 20 by 3 by utilizing expanded kind

Resolution:

20         →                           2 tens + 0 ones

×    3         →                                       ×      3

6 tens + 0 ones

= 60 + 0

= 60

Due to this fact, 20 × 3 = 60

4. Multiply 50 by 1 by utilizing quick kind

Resolution:

50                      →                50

×    1                      →             ×   1

0                                           50

(i) First digit of 1’s place is multiplied by 1, i.e., 0 × 1 = 0

(ii) Then digit at ten’s place is multiplied by 1, i.e., 5 tens × 1 = 5 tens

Therefore, 50 × 1 = 50

Examples of multiplying 2-digit quantity by 1-digit quantity with Regrouping:

1. Multiply 66 by 3

 T     O                1                6     6             ×        3         1     4     8 First multiply those by 3. 6 × 3 = 18 = one ten + 8 ones Write 8 below O. carry 1 ten Now multiply the tens by 3. 6 × 3 = 18 Add 1 to the product. 18 + 1 = 19

2. Multiply 25 by 3

 Step I: Organize the numbers vertically. Step II: First multiply the digit on the ones place by 3. 3 × 5 = 15 = 1 ten + 5 ones Write 5 within the ones column and carry over 1 to the tens column Step III: Now multiply the digit on the tens place by 3. 3 × 2 = 6 tens Now, 6 + 1 (carry over) = 7 tens  Thus, 25 × 3 = 75

3. Multiply 46 by 4

 Step I: Organize the numbers vertically. Step II: Multiply the digit on the ones place by 4. 6 × 4 = 24 = 2 tens + 4 ones Write 4 within the ones column and carry over 2 to the tens column Step III: Now multiply the digit on the tens place by 4. 4 × 4 = 16 tens Now, 16 + 2 (carry over) = 18 tens = 1 hundred + 8 tens Write 8 on the tens place and 1 on the hundred place.  Thus, 46 × 4 = 184

4. Multiply 20 by 3 by utilizing expanded kind

Resolution:

20         →                           2 tens + 0 ones

×    3         →                                       ×      3

6 tens + 0 ones

= 60 + 0

= 60

Due to this fact, 20 × 3 = 60

5. Multiply 26 by
7 by utilizing expanded kind

Resolution:

26          →       20 + 6          →           2 tens + 6 ones

×      7          →         ×   7           →                          ×     7

(2 × 7) tens + (6 ×
7) ones

2 tens + 6 ones

×                  7 ones

14 tens + 42 ones

= 14 tens + (40 + 2) ones

= 14 tens + 4 tens + 2 ones

= 18 tens + 2 ones

= 180 + 2

= 182

Due to this fact, 26 × 7 = 182

6. Multiply 48 by
6 by utilizing quick kind

Resolution:

48

×         6

24 ← 48

= 28 tens 8 ones

= 288

Therefore, 48 × 6 = 288

(i) 48 × 6 is written in column from.

(ii) 8 ones are multiplied by 6, i.e., 6 × 8 = 48 ones = 4
tens + 8 ones

8 is written is one’s column and 4 tens is gained.

(iii) Gained 4 is carried to the ten’s column.

(iv) Now 4 tens is multiplied by 6, i.e., 4 tens × 6 = 24
tens

(v) Carried 4 tens is added to 24 tens, i.e., 4 tens + 24
tens = 28 tens

7. Discover the
product of 58 × 5.

Resolution:

58

×   5

25 ← 40

= 25 + 4 ← 0

= 29          0

= 290

(i) 8 ones × 5 = 40 = 4 tens + 0 one

(ii) 5 tens × 5 = 25 tens

(iii) 25 tens + 4 tens = 29 tens

Therefore, 58 × 5 = 290

8. Multiply 37 by
8

Resolution:

3  7

×          8

5   6

+   2   4   0

2   9    6

(i) 7 ones × 8 = 56 ones = 5 tens 6 ones

56 is positioned in such means that 5 comes below tens and 6 below
ones

(ii) 3 tens × 8 = 24 tens = 240 ones

= 2 a whole lot, 4 tens and 0 ones

240 is positioned under 56 in such means that 2 comes below a whole lot,
4 below tens and 0 below ones.

Therefore, 37 × 8 = 296

Questions and Solutions on Multiplying 2-Digit Quantity by 1-Digit Quantity:

Multiplication of 2-Digit Quantity by 1-Digit Quantity With out Regrouping:

I. Discover the product:

(i) 23 × 3 =

(ii) 44 × 2 =

(iii) 33 × 2 =

(iv) 22 × 4 =

(v) 32 × 3 =

(vi) 40 × 2 =

(vii) 43 × 2 =

(viii)  12 × 3 =

(ix) 23 × 2 =

(x) 11 × 9 =

(xi) 21 × 4 =

(xii) 13 × 3 =

I. (i) 69

(ii) 88

(iii) 66

(iv) 44

(v) 96

(vi) 80

(vii) 86

(viii) 36

(ix) 46

(x) 99

(xi) 84

(xii) 39

Multiplication of 2-Digit Quantity by 1-Digit Quantity With Regrouping:

II. Discover the product:

(i) 46 × 2

(ii) 19 × 4

(iii) 27 × 3

(iv) 18 × 5

II. (i) 92

(ii) 76

(iii) 81

(iv) 90

III. Multiply the next:

(i) 78 × 4

(ii)  63 × 6

(iii) 51 × 6

(iv) 39 × 8

(v) 72 × 9

(vi) 45 × 7

(vii) 17 × 4

(viii) 88 × 8

III. (i) 312

(ii)  398

(iii) 306

(iv) 312

(v) 648

(vi) 315

(vii) 68

(viii) 704

IV. Remedy the next:

(i) 37 × 6

(ii) 72 × 4

(iii) 56 × 7

(iv) 84 × 2

(v) 45 × 9

IV. (i) 37 × 6

(ii) 72 × 4

(iii) 56 × 7

(iv) 84 × 2

(v) 45 × 9

V. Multiply the next :

 (i)                     T     O                     3     1                     ×    2                   _______ (ii)                     T     O                     4     7                     ×    1                   _______
 (iii)                     T     O                     1     1                     ×    3                   _______ (iv)                     T     O                     2     2                     ×    2                   _______
 (v)                     T     O                     2     3                     ×    2                   _______ (vi)                     T     O                     2     6                     ×    3                   _______
 (vii)                     T     O                     4     9                     ×    2                   _______ (viii)                     T     O                     2     3                     ×    4                   _______
 (ix)                     T     O                     1     6                     ×    6                   _______ (x)                     T     O                     1     9                     ×    5                   _______
 (xi)                     T     O                     5     2                     ×    5                   _______ (xii)                     T     O                     2     3                     ×    6                   _______
 (xiii)                     T     O                     6     4                     ×    9                   _______ (xiv)                     T     O                     3     2                     ×    7                   _______
 (xv)                     T     O                     7     5                     ×    8                   _______

VI. Multiply the next:

(i) 21 × 5 = _____

(ii) 34 × 2 = _____

(iii) 23 × 3 = _____

(iv) 27 × 3 = _____

(v) 38 × 2 = _____

(vi) 18 × 4 = _____

(vii) 25 × 8 = _____

(viii) 32 × 6 = _____

(ix) 29 × 4 = _____

(x) 45 × 5 = _____

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