Subscribe to our YouTube channel for the latest videos, updates, and tips.


Multiplying 3-Digit Numbers by 2-Digit Numbers

We will learn how to multiply 3-digit numbers by 2-digit numbers.

Multiplication by 3-Digit Numbers × 2-Digit Numbers:

Step-by-step procedures of multiplying 3-digit numbers by 2-digit numbers.

I. Multiply 148 by 18.

      Th         T     O   

               4     1     8

              ×      1     8             

        3     3      4     4     1. 

    +  4     1      8     0     2.   

         7     5      2     4    3.

1. 18 = 1 ten and 8 ones

    Multiply 8 ones by all the numbers

    418 × 8 ones = 3344 ones

2. Multiply 1 ten by all the numbers

    418 × 1 ten = 418 tens = 4180

3. Add the two products [1. + 2.]

    3344 + 4180 = 7524

Thus, 148 × 18 = 7524


II. Multiply 354 by 24.

      Th         T     O   

               3     5     4

              ×      2     4             

        1     4      1     6    1. 

    +  7     0      8     0    2.   

        8     4      9     6    3.

1. 24 = 2 tens and 4 ones

    Multiply 4 ones by all the numbers

    354 × 4 ones = 1416 ones

2. Multiply 2 tens by all the numbers

    354 × 2 tens = 708 tens = 7080

3. Add the two products [1. + 2.]

    1416 + 7080 = 8496

Thus, 354 × 24 = 8496


Multiplying 3-Digit by 2-digit Numbers:

III. Multiply 163 by 25.

Solution:

Step 1. Arrange the numerals as shown

Multiplying 3-Digit Numbers by 2-Digit Numbers

Step 2. Multiply 163 by 5 ones

           163 × 5 = 815 ones

Step 3. Multiply 163 by 2 tens

           163 × 2 tens = 326 tens

                              = 3260

Step 4. Add both the products

           815 + 3260 = 4075

Thus, 163 × 25 = 4075


Worksheet on Multiplying 3-Digit Numbers by 2-Digit Numbers:

Questions and Answers on Multiplying 3-Digit Numbers by 2-Digit Numbers:

1. Multiply the following 3-Digits Number by 2-Digits Number:

(i)

      Th         T     O   

               4     4     1

              ×      1     1             

     ______________

     ______________

     ______________

(ii)

      Th         T     O   

               1     4     0

              ×      1     3             

     ______________

     ______________

     ______________

(iii)

      Th         T     O   

               4     2     0

              ×      1     6             

     ______________

     ______________

     ______________

(iv)

      Th         T     O   

               5     0     3

              ×      1     2             

     ______________

     ______________

     ______________

(v)

      Th         T     O   

               9     3     2

              ×      1     0             

     ______________

     ______________

     ______________

(vi)

      Th         T     O   

               6     2     9

              ×      1     3             

     ______________

     ______________

     ______________

(vii)

      Th         T     O   

               8     3     7

              ×      1     1             

     ______________

     ______________

     ______________

(viii)

      Th         T     O   

               3     3     2

              ×      2     0             

     ______________

     ______________

     ______________

(ix)

      Th         T     O   

               1     8     3

              ×      2     3             

     ______________

     ______________

     ______________

(x)

      Th         T     O   

               2     5     1

              ×      2     7             

     ______________

     ______________

     ______________

(xi)

      Th         T     O   

               1     9     2

              ×      3     8             

     ______________

     ______________

     ______________

(xii)

      Th         T     O   

               1     6     8

              ×      5     2             

     ______________

     ______________

     ______________


Answer:

1. (i) 4851

(ii) 1820

(iii) 6720

(iv) 6036

(v) 9320

(vi) 8177

(vii) 9207

(viii) 6640

(ix) 4209

(x) 6777

(xi) 7296

(xii) 8736


2. Solve the following 3-digits by 2-digits multiplication in your notebook.

(i) 384 × 25

(ii) 245 × 23

(iii) 249 × 34

(iv) 335 × 19

(v) 102 × 28

(vi) 186 × 36

(vii) 158 × 54

(viii) 494 × 18


Answer:

2. (i) 9600

(ii) 5635

(iii) 8466

(iv) 6365

(v) 2856

(vi) 6696

(vii) 8532

(viii) 8892



3rd Grade Math Lessons

From Multiplying 3-Digit Numbers by 2-Digit Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  2. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  3. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  4. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More

  5. Worksheet on Rounding Off Number | Rounding off Number | Nearest 10

    May 15, 25 05:12 PM

    In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to

    Read More