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


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.


A. 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


Thus, 221 × 2 = 442


MULTIPLICATION OF A 3-DIGIT NUMBER BY A 1-DIGIT NUMBER WITHOUT REGROUPING:

3. Let us multiply 132 by 3.

Write the numbers one below the other as shown.

3-Digit by 1-Digit Multiplication

Step I: Multiply the ones digit by 3.

2 ones × 3 = 6 ones

Write 6 in the ones place.


Step II: Multiply the tens digit by 3.

3 tens × 3 = 9 tens

Write 9 in the tens place.


Step III: Multiply the hundreds digit by 3.

1 hundred × 3 = 3 hundreds

Write 3 in the hundreds place.


The product is 396.


Word Problems on Multiplication of a 3-digit Number by a 1-digit Number Without Regrouping:

4. Nairitee used 134 beads in a necklace. How many beads will she be used to make 2 necklaces?

134 × 2 = ?

Multiply Once Place

Step I: Arrange the numbers in correct columns.

Multiply the digit in the ones place by 2.

4 ones × 2 = 4 × 2 = 8 or 8 ones

Write 8 in the ones column.

Multiply Tens Place

Step II: Multiply the digit in the tens place by 2.

3 tens × 2 = 30 × 2 = 60 or 6 tens

Write 6 in the tens column.

Multiply Hundreds Place

Step III: Multiply the digit in the hundreds place by 2.

1 hundred × 2 = 100 × 2 = 200 or 2 hundreds

Write 2 in the hundreds column.

So, 134 × 2 = 268

Thus, she will use 268 beads.


You know how we multiply two digit number by one digit number. In the same way we can multiply 3-digit number by one digit number.

5. Multiply 243 by 2.

Solution:

Multiply each place in turn. Start with ones place.

3-Digits by 1-Digit Multiplication

Step I: 3 × 2 = 6 Ones

           Write 6 in ones column

Step II: 4 × 2 = 8 Tens

            Write 8 in tens column

Step III: 2 × 2 = 4 Hundreds

            Write 4 in hundreds column

The product = 486


B. 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


6. Let us multiply 123 by 4.

Write the numbers one below the other as shown.

3-Digit by 1-Digit Multiplication with Regrouping

Step I: Multiply the ones digit by 4.

3 ones × 4 = 12 ones

Regroup: 12 ones = 1 ten and 2 ones

Write 2 in the ones place.

Carry over 1 ten and write it under T.


Step II: Multiply the tens digit by 4.

2 tens × 4 = 8 tens

Add 8 tens and 1 ten (carried over).

8 tens + 1 ten = 9 tens

Write 9 in the tens place.


Step III: Multiply the hundreds digit by 4.

1 hundred × 4 = 4 hundreds


The product is 492.


7. Multiply 542 by 3.

Solution:

3-Digit by 1-Digit Multiply

Step I: 2 × 3 = 6 Ones

            Write 6 in ones column

Step II:× 3 = 12 Tens

            Write 2 in tens column and carry 1 to the hundreds column

Step III:× 3 = 15 hundreds

Add 15 hundreds and 1 hundred (carried over).

15 hundreds and 1 hundred = 16 hundreds

Write 6 in hundreds column and take 1 to the thousands column

The product=1626.

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

8. Let us multiply 145 by 3.

Write the numbers one below the other as shown.

3-Digit by 1-Digit Multiplication with Regrouping Twice

Step I: Multiply the ones digit by 3.

5 ones × 3 = 15 ones

Regroup: 15 ones = 1 ten and 5 ones

Write 5 in the ones place.

Carry over 1 ten and write it under T.


Step II: Multiply the tens digit by 3.

4 tens × 3 = 12 tens

Add 12 tens and 1 ten (carried over).

12 tens + 1 ten = 13 tens

Regroup: 13 tens = 1 hundred and 3 tens

Write 3 in the tens place.

Carry over 1 hundred and write it under H.


Step III: Multiply the hundreds digit by 3.

1 hundred × 3 = 3 hundreds

Add 3 hundreds and 1 hundred (carried over).

3 hundreds + 1 hundred = 4 hundreds

Write 4 in the hundreds place.


The product is 435.


Word Problems on Multiplying a 3-digit Number by a 1-digit Number with Regrouping:

9. There are 235 books in one rack. How many books can 4 such racks hold?

Multiply the Ones Place

Step I: Multiply the digit in the ones place by 4.

5 × 4 = 20

20 is a 2-digit number, keep 0 in the ones column and carry over 2 to the tens column.

Multiply the Tens Place

Step II: Multiply the digit in the tens place by 4.

Add the carried over number to the result.

3 × 4 = 12

12 + 2 = 14

Keep 4 in the tens column and carry over 1 to the hundreds column.

Multiply the Hundreds Place

Step III: Multiply the digit in the hundreds place by 4.

Add the carried over number to the result.

2 × 4 = 8

8 + 1 = 9

Write 9 in the hundreds column.

So, 4 racks can hold 940 books.


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.



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. Average Word Problems | Worksheet on Average Questions with Answers

    May 20, 25 05:40 PM

    In average word problems we will solve different types of problems on basic concept of average. 1. Richard scored 80, 53, 19, 77, 29 and 96 runs in 6 innings in a series. Find the average runs scored…

    Read More

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

    May 19, 25 02:53 PM

    Worksheet on Average
    In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.

    Read More

  3. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  4. 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

  5. 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