# 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 onesStep III: Now multiply the digit at the tens place by 3.0 × 3 = 0 tensStep IV: Now multiply the digit at the hundreds place by 3. 2 × 3 = 6 hundreds 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 onesWrite 4 in the ones column and carry over 2 to the tens columnStep III: Now multiply the digit at the tens place by 4.4 × 4 = 16 tensNow, 16 + 2 (carry over) = 18 tens = 1 hundred + 8 tensStep IV: Now multiply the digit at the hundreds place by 4.2 × 4 = 8 hundreds Now, 8 + 1 (carry over) = 9 hundred 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 onesWrite 8 in the ones column and carry over 1 to the tens columnStep III: Now multiply the digit at the tens place by 6.6 × 5 = 30 tensNow, 30 + 1 (carry over) = 31 tens = 3 hundred + 1 tensWrite 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 hundredsNow, 24 + 3 (carry over) = 27 hundreds = 2 thousands and 7 hundreds. Write 7 at the tens place and 2 at the thousands place. Thus, 453 × 6 = 2718

3. Multiply 167 by 2.

 H     T     O              ﻿ 1     1﻿               1     6      7                     ×      2               3     3      4 7 × 2 = 14 = 1 ten + 4 ones.write 4 under O.Carry 1 ten. 6 × 2 = 12 + 1 = 1313 = 1 hundred + 3 tens. write 3 under T.Carry 1 hundred. 2 × 1 = 2 + 1 = 3write 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 tensWrite 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 hundredsWrite 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

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

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

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 = _____

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