We know to multiply two digit numbers by two-digit numbers, and three-digit numbers by one-digit or two-digit numbers.
Now, we will learn the multiplication by three-digit numbers.
In multiplication of a number by a 3-digit number are explained here step by step.
Consider the following examples on multiplication of a number by a 3-digit number:
I. Examples to multiply 2-digit numbers by a 3-digit numbers:
1. Find the product of 36 × 137
Solution:
(i)
(ii)
(a) 137 = 7 ones + 3 tens + 1 hundred |
II. Examples to multiply 3-digit numbers by a 3-digit numbers:
2. Multiply 543 by 278
Solution:
(i)
(a) 278 = 8 + 70 + 200 |
(ii)
(a) 278 = 8 ones + 7 T + 2 H |
3. Multiply 827 × 107
Solution:
(i)
Answer: 88489
(ii) 474 × 240
Answer: 113760
Multiplying by 3-Digit Number
4. Find the product of 528 and 378.
Step I: Arrange the numbers vertically. Step II: Multiply 528 by 8 528 × 8 = 4224 Step III: Multiply 528 by 70 528 × 70 = 36960 Step IV: Multiply 528 by 300 528 × 300 = 158400 Step V: Add: 4224, 36960 and 158400 4224 + 36960 + 158400 = 199584 |
Hence, 528 × 378 = 199584 |
5. Multiply 345 by 224.
The product is 77,280. |
Step I: Multiply 345 by 4 ones. 345 × 4 = 1380 ones = 1380 Step II: Multiply 345 by 2 tens. 345 × 2 = 690 tens = 6900 Step III: Multiply 345 by 2 hundreds. 345 × 2 = 690 hundreds = 69000 Step IV: Add the products. |
III. Example to multiply 4-digit numbers by a 3-digit numbers:
6. Multiply 2437 by 324
Solution:
(i) First Method
The product = 789588
(ii) Second Method
(a) 324 = 4 ones + 2 tens + 3 hundreds |
These are the examples discussed on multiplication of a 2-digit, 3-digit and 4-digit number by a 3-digit number.
7. Multiply 2345 by 142.
The product is 3,32,990. |
Step I: Multiply 2345 by 2 ones. 2345 × 2 = 4690 ones = 4690 Step II: Multiply 2345 by 4 tens. 2345 × 4 = 9380 tens = 93800 Step III: Multiply 2345 by 1 hundred. 2345 × 1 = 2345 hundreds = 234500 Step IV: Add the products. |
Questions and Answers on Multiplication of a Number by a 3-Digit Number:
1. Multiply the given 3-digit numbers by a 3-digit numbers by column method.
(i) 137 × 112 = __________
(ii) 258 × 135 = __________
(iii) 429 × 283 = __________
(iv) 647 × 465 = __________
(v) 874 × 509 = __________
(vi) 173 × 194 = __________
Answers:
(i) 15344
(ii) 34830
(iii) 121407
(iv) 300855
(v) 444866
(vi) 33562
2. Multiply the given 4-digit numbers by a 3-digit numbers by column method.
(i) 1392 × 271 = __________
(ii) 2058 × 380 = __________
(iii) 5483 × 126 = __________
(iv) 4021 × 108 = __________
(v) 3281 × 288 = __________
(vi) 3016 × 160 = __________
Answers:
(i) 377232
(ii) 782040
(iii) 690858
(iv) 434268
(v) 944928
(vi) 482560
3. Multiply the following.
(i) 5424 × 8
(ii) 58549 × 128
(iii) 456 × 729
(iv) 639 × 199
(v) 5024 × 632
(vi) 76592 × 8
Answer:
3. (i) 43392
(ii) 7494272
(iii) 332424
(iv) 127161
(v) 3175168
(vi) 612736
Related Concept
● Addition
● Check for Subtraction and Addition
● Word Problems Involving Addition and Subtraction
● Estimating Sums and Differences
● Multiply a Number by a 2-Digit Number
● Multiplication of a Number by a 3-Digit Number
● Word Problems on Multiplication
● Division of Two-Digit by a One-Digit Numbers
● Division of Four-Digit by a One-Digit Numbers
● Division by 10 and 100 and 1000
● Division by Two-Digit Numbers
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