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Multiplying 2-Digit Numbers by 2-Digit Numbers

We will learn how to multiply 2-digit numbers by 2-digit numbers.

Multiplying 2-Digit Numbers by 2-Digit Numbers

Multiplication 2-Digit Numbers × 2-Digit Numbers:

I. Multiply 44 by 18.

                   T     O

                   4     4

           ×      1     8

             3     5     2     1.

         +  4     4     0    2.

             7     9     2     3.

1. 18 = 1 ten and 8 ones

    Multiply 8 ones by both numbers

    44 × 8 ones = 352 ones

2. Multiply 1 ten by both numbers

    44 × 1 ten = 44 tens = 440 tens 

3. Add the two products

    352 + 440 = 792

Thus, 44 × 18 = 792

II. Multiply 32 by 23.

                   T     O

                   3     2

           ×      2     3

                   9     6     1.

         +  6    4           2.

             7     3     6    3.

1. 23 = 2 tens and 3 ones

    Multiply 3 ones by both numbers

    32 × 3 = 96 ones

2. Multiply 2 tens by both numbers

   32 × 2 = 64 tens = 6 hundreds, 4 tens

3. Add the two products and write as - 

    96 + 640 = 736

Thus, 32 × 23 = 736


Multiplying by 2-digit Numbers:

III. Multiply 64 by 23.

Solution:

Step 1. Arrange the numerals as shown

Multiplying 2-Digit Numbers by 2-Digit Numbers

Step 2. Multiply 64 by 3 ones

           64 × 3 = 192 ones

Step 3. Multiply 64 by 2 tens

           64 × 2 tens = 128 tens

                             = 1280

Step 4. Add both the products

           192 + 1280 = 1472


Thus, 64 × 23 = 1472


REMEMBER:

The product of a 2-digit number by another 2- digit number cannot be more than 4-digits.


Word Problems on Multiplying 2-Digit Numbers by 2-Digit Numbers:

1. There are 36 flowers in a garland. How many flowers are there in 25 such garlands?

2-Digits by 2-Digits Multiplication Word Problem

Solution:

Number of flowers in a garland = 36

Number of flowers in 25 garlands = 36 × 25 = 900

Thus, 900 flowers are there in 25 garlands.


Worksheet on Multiplying 2-Digit Numbers by 2-Digit Numbers:

1. Multiply the Following 2-Digit Numbers:

(i)

                 H     T     O

                        2     4

              ×        1     1

            ____________

            ____________

            ____________

(ii)

                 H     T     O

                        3     4

              ×        1     2

            ____________

            ____________

             ____________

(iii)

                 H     T     O

                        2     9

              ×        1     3

            ____________

            ____________

            ____________

(iv)

                 H     T     O

                        4     1

              ×        1     4

            ____________

            ____________

            ____________

(v)

                 H     T     O

                        5     2

              ×        1     5

            ____________

            ____________

            ____________

(vi)

                 H     T     O

                        4     1

              ×        1     7

            ____________

            ____________

            ____________

(vii)

                 H     T     O

                        2     9

              ×        1     8

            ____________

            ____________

            ____________

(viii)

                 H     T     O

                        4     4

              ×        2     0

            ____________

            ____________

            ____________

(ix)

                 H     T     O

                        4     1

              ×        2     2

            ____________

            ____________

            ____________

(x)

                 H     T     O

                        5     1

              ×        2     9

            ____________

            ____________

            ____________

(xi)

                 H     T     O

                        9     6

              ×        3     1

            ____________

            ____________

            ____________

(xii)

                 H     T     O

                        3     5

              ×        4     1

            ____________

            ____________

            ____________


Answer:

1. (i) 264

(ii) 408

(iii) 377

(iv) 574

(v) 780

(vi) 697

(vii) 522

(viii) 880

(ix) 902

(x) 1479

(xi) 2976

(xii) 1435


2. Multiply the given 2-Digit Numbers by 2-Digit Numbers:

(i)

                 H     T     O

                        8     3

              ×        1     2

            ____________

            ____________

             ____________

(ii)

                 H     T     O

                        2     9

              ×        1     5

            ____________

            ____________

             ____________

(iii)

                 H     T     O

                        4     2

              ×        1     8

            ____________

            ____________

            ____________

(iv)

                 H     T     O

                        3     2

              ×        1     3

            ____________

            ____________

            ____________

(v)

                 H     T     O

                        7     3

              ×        1     0

            ____________

            ____________

            ____________

(vi)

                 H     T     O

                        6     6

              ×        1     0

            ____________

            ____________

            ____________

(vii)

                 H     T     O

                        5     4

              ×        1     4

            ____________

            ____________

            ____________

(viii)

                 H     T     O

                        4     3

              ×        2     0

            ____________

            ____________

            ____________

(ix)

                 H     T     O

                        2     7

              ×        2     6

            ____________

            ____________

            ____________

(x)

                 H     T     O

                        2     4

              ×        1     1

            ____________

            ____________

            ____________

(xi)

                 H     T     O

                        1     6

              ×        5     0

            ____________

            ____________

            ____________

(xii)

                 H     T     O

                        1     6

              ×        1     2

            ____________

            ____________

            ____________


Answer:

2. (i) 996

(ii) 435

(iii) 756

(iv) 416

(v) 730

(vi) 660

(vii) 756

(viii) 860

(ix) 702

(x) 264

(xi) 800

(xii) 192


3. Do these Sums in your Notebook:

(i) 18 x 17

(ii) 28 x 16

(iii) 44 x 14

(iv) 61 x 15

(v) 73 x 17

(vi) 63 x 35

(vii) 93 x 18

(viii) 42 x 23

(ix) 45 x 29

(x) 47 x 32

(xi) 19 x 38

(xii) 39 x 28

(xiii) 41 x 41

(xiv) 88 x 42

(xv) 17 x 43

(xvi) 12 x 62

(xvii) 23 × 25

(xviii) 10 x 45

(xix) 33 x 71

(xx) 27 x 82

(xxi) 22 × 87

(xxii) 44 x 87

(xxiii) 21 × 91

(xxiv) 31 × 92


Answer:

3. (i) 306

(ii) 448

(iii) 616

(iv) 915

(v) 1241

(vi) 2205

(vii) 1674

(viii) 966

(ix) 1305

(x) 1504

(xi) 722

(xii) 1092

(xiii) 1681

(xiv) 3696

(xv) 731

(xvi) 744

(xvii) 575

(xviii) 450

(xix) 2343

(xx) 2214

(xxi) 1914

(xxii) 3828

(xxiii) 1911

(xxiv) 2852



3rd Grade Math Lessons

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