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.


Aultiplication of 3-digit Number by 1-digit Number with 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


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

Questions and Answers on Multiplying 3-Digit Number by 1-Digit Number:

Multiplying 3-Digit Number by 1-Digit Number withb gt 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

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