by a 3-Digit Number

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:

**1.** Multiply 543 by 278

**Solution: **

(i)

(a) 278 = 8 + 70 + 200 |

(ii)

(a) 278 = 8 ones + 7 T + 2 H |

**2. **Multiply 827 × 107

**Solution: **

(i)

**Answer: **88489

(ii) 474 × 240

**Answer:** 113760

**Multiplying by 3-Digit Number**

**3.** Find the product of 528 and 378.

528 × 8 = 4224
528 × 70 = 36960
528 × 300 = 158400
4224 + 36960 + 158400 = 199584 |
Hence, 528 × 378 = 199584 |

III. Example to multiply 4-digit numbers by a 3-digit numbers:

**3. ** 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.

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

**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

**From Multiplication of a Number by a 3-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.