Multiplying 3-Digit Number by 1-Digit Number

Here we will learn multiplying 3-digit number by 1-digit number.

In two different types we will learn to multiply a three-digit number by a one-digit number.


Multiplication of 3-digit Number by 1-digit Number without Regrouping:

1. Multiply 201 by 3

Step I: Arrange the numbers vertically.

Step II: Multiply the digit at the ones place by 3.

1 × 3 = 3 ones

Step III: Now multiply the digit at the tens place by 3.

0 × 3 = 0 tens

Step IV: Now multiply the digit at the hundreds place by 3.

2 × 3 = 6 hundreds

Multiplying 3-Digit Number by 1-Digit Number

Thus, 201 × 3 = 603


2. Multiply 221 by 2.

               H     T     O

               2     2      1

                     ×      2

               4     4      2

First-Multiply ones by 2.

2 × 1 = 2. write 2 under O.

Then-Multiply tens by 2.

2 × 2 = 4, write 4 under T.

At last-Multiply hundreds by 2.

2 × 2 = 4. write 4 under H.


Multiplication of 3-digit Number by 1-digit Number with Regrouping:

1. Multiply 246 by 4

Step I: Arrange the numbers vertically.

Step II: Multiply the digit at the ones place by 4.

6 × 4 = 24 = 2 tens + 4 ones

Write 4 in the ones column and carry over 2 to the tens column

Step III: Now multiply the digit at the tens place by 4.

4 × 4 = 16 tens

Now, 16 + 2 (carry over) = 18 tens = 1 hundred + 8 tens

Step IV: Now multiply the digit at the hundreds place by 4.

2 × 4 = 8 hundreds

Now, 8 + 1 (carry over) = 9 hundred

Multiplying 3-Digit Number by 1-Digit Number with Regrouping

Thus, 246 × 4 = 984


2. Multiply 453 by 6.

Step I: Arrange the numbers vertically.

Step II: Multiply the digit at the ones place by 6.

6 × 3 = 18 = 1 tens + 8 ones

Write 8 in the ones column and carry over 1 to the tens column

Step III: Now multiply the digit at the tens place by 6.

6 × 5 = 30 tens

Now, 30 + 1 (carry over) = 31 tens = 3 hundred + 1 tens

Write 1 in the tens column and carry over 3 to the hundred column.

 

Step IV: Now multiply the digit at the hundreds place by 6.

6 × 4 = 24 hundreds

Now, 24 + 3 (carry over) = 27 hundreds = 2 thousands and 7 hundreds.

Write 7 at the tens place and 2 at the thousands place.

Multiply 3-digit Number by a 1-digit Number with Regrouping

Thus, 453 × 6 = 2718


3. Multiply 167 by 2.

               H     T     O

               1     1

               1     6      7

                     ×      2

               3     3      4

× 2 = 14 = 1 ten + 4 ones.

write 4 under O.

Carry 1 ten. 6 × 2 = 12 + 1 = 13

13 = 1 hundred + 3 tens.

write 3 under T.

Carry 1 hundred. 2 × 1 = 2 + 1 = 3

write 3 under H.


4. Multiply 294 by 4.

Step I: Align the digits:

      Th     H     T     O

               2     9      4

                     ×      4

                                


Step II: Multiply ones.

4 ones × 4 = 16 ones 1 tens 6 ones.

Write 6 below ones place and carry 1 to the tens place.

      Th     H     T     O

                      1

               2     9      4

                     ×      4

                              6


Step III: Multiply tens.

9 tens × 4 = 36 tens.

36 tens + 1 tens (carried)

= 37 tens

3 hundreds + 7 tens

Write 7 below tens place and carry over 3 to the hundreds place.

      Th     H     T     O

               3     1

               2     9      4

                     ×      4

                      7      6


Step IV: Multiply hundreds. 

2 hundreds × 4 = 8 hundreds.

8 hundreds + 3 hundreds (carried) 

= 11 hundreds

Write 1 in hundreds place and 1 in thousands place.

      Th     H     T     O

               3     1

               2     9      4

                     ×      4

        1     1     7      6

Hence, 294 by 4 = 1,176


5. Multiply 239 by 8.

Step I: 

      Th     H     T     O

               2     3      9

                     ×      8

                                

Step II: 

      Th     H     T     O

                      7

               2     3      9

                     ×      8

                              2

Step III: 

      Th     H     T     O

               3     7

               2     3      9

                     ×      8

                      1      2

Step IV: 

      Th     H     T     O

               3     7

               2     3      9

                     ×      8

        1     9     1      2

Therefore, 239 × 8 = 1,912


Worksheet on Multiplying 3-Digit Number by 1-Digit Number:

Multiplying 3-Digit Number by 1-Digit Number without Regrouping:

I. Multiply the following:

(i) 134 × 2

(ii) 320 × 3

(iii) 112 × 4

(iv) 301 × 2

(v) 202 × 2

(vi) 131 × 3

(vii) 220 × 4

(viii) 303 × 3


Answer:

I. (i) 268

(ii) 960

(iii) 448

(iv) 602

(v) 404

(vi) 393

(vii) 880

(viii) 909


Multiplying 3-Digit Number by 1-Digit Number with Regrouping:

II. Multiply the following:

(i) 237 × 4

(ii) 142 × 7

(iii) 235 × 4

(iv) 408 × 2

(v) 145 × 6

(vi) 126 × 3

(vii) 435 × 2

(viii) 157 × 5


Answer:

II. (i) 948

(ii) 994

(iii) 940

(iv) 816

(v) 870

(vi) 378

(vii) 870

(viii) 785


III. Multiply the following:

(i) 467 × 8

(ii) 706 × 7

(iii) 982 × 9

(iv) 351 × 6

(v) 738 × 5

(vi) 288 × 7


Answer:

III. (i) 3736

(ii) 4942

(iii) 8838

(iv) 1806

(v) 3690

(vi) 2016


IV. Multiply the Following 3-Digit Numbers by 1-Digit Number:

(i)

               H     T     O

               3     1      3

                     ×      2

                                

(ii)

               H     T     O

               8     6      6

                     ×      1

                                

(iii)

               H     T     O

               2     1      0

                     ×      3

                                

(iv)

               H     T     O

               0     0      3

                     ×      2

                                

(v)

               H     T     O

               1     1      7

                     ×      1

                                

(vi)

               H     T     O

               1     1      4

                     ×      4

                                

(vii)

               H     T     O

               2     1      5

                     ×      3

                                

(viii)

               H     T     O

               1     1      2

                     ×      6

                                

(ix)

               H     T     O

               1     2      3

                     ×      4

                                

(x)

               H     T     O

               3     0      3

                     ×      7

                                

(xi)

               H     T     O

               1     7      4

                     ×      3

                                

(xii)

               H     T     O

               2     8      5

                     ×      8

                                

(xii)

               H     T     O

               2     3      4

                     ×      4

                                

(xiv)

               H     T     O

               3     3      2

                     ×      6

                                

(xv)

               H     T     O

               4     5      2

                     ×      5

                                


V. Multiply and Fill in the Blanks:

(i) 222 × 3 = _____

(ii) 212 × 4 = _____

(iii) 323 × 2 = _____

(iv) 112 × 5 = _____

(v) 124 × 4 = _____

(vi) 225 × 9 = _____

(vii) 666 × 6 = _____

(viii) 444 × 5 = _____

(ix) 245 × 7 = _____

(x) 145 × 4 = _____

You might like these




3rd Grade Math Lessons

From Multiplying 3-Digit Number by 1-Digit Number 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.



Share this page: What’s this?

Recent Articles

  1. Adding 1-Digit Number | Understand the Concept one Digit Number

    Apr 26, 24 01:05 PM

    Add by Counting Forward
    Understand the concept of adding 1-digit number with the help of objects as well as numbers.

    Read More

  2. Subtracting 2-Digit Numbers | How to Subtract Two Digit Numbers?

    Apr 26, 24 12:36 PM

    Subtracting 2-Digit Numbers
    In subtracting 2-digit numbers we will subtract or minus a two-digit number from another two-digit number. To find the difference between the two numbers we need to ‘ones from ones’ and ‘tens from

    Read More

  3. 1st Grade Word Problems on Subtraction | Subtracting 2-Digit Numbers

    Apr 26, 24 12:06 PM

    1st Grade Word Problems on Subtraction
    In 1st grade word problems on subtraction students can practice the questions on word problems based on subtraction. This exercise sheet on subtraction can be practiced by the students to get more ide…

    Read More

  4. Subtracting 1-Digit Number | Subtract or Minus Two One-Digit Number

    Apr 26, 24 11:21 AM

    Cross Out 6 Objects
    In subtracting 1-digit number we will subtract or minus one-digit number from one-digit number or one-digit number from 2-digit number and find the difference between them. We know that subtraction me…

    Read More

  5. Perimeter of a Square | How to Find the Perimeter of Square? |Examples

    Apr 25, 24 05:34 PM

    Perimeter of a Square
    We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square. We know that all the sides of a square are equal. Perimete…

    Read More