Multiply Multi Digit Numbers Made Easy Worksheet

Multiplying Multi-Digit Numbers: A Step-by-Step Guide

Multiplying multi-digit numbers can be a daunting task for many students. However, with the right approach and practice, it can become a breeze. In this post, we will break down the process of multiplying multi-digit numbers into manageable steps, making it easier for you to understand and solve.

Understanding the Concept

Before we dive into the steps, it’s essential to understand the concept of multiplying multi-digit numbers. When we multiply two numbers, we are essentially adding a number a certain number of times. For example, 3 × 4 means adding 3 together 4 times (3 + 3 + 3 + 3 = 12).

Step-by-Step Guide

Here’s a step-by-step guide to multiplying multi-digit numbers:

Step 1: Write the numbers Write the two numbers you want to multiply, one on top of the other, with the multiplicand (the number being multiplied) on top and the multiplier (the number by which we are multiplying) below.

Step 2: Multiply the multiplicand by each digit of the multiplier Start by multiplying the multiplicand by each digit of the multiplier, beginning from the right. Make sure to line up the digits correctly.

Step 3: Write the partial products Write the partial products of each multiplication, making sure to line up the digits correctly.

Step 4: Add the partial products Add the partial products to get the final product.

Step 5: Check your answer Check your answer by multiplying the numbers in a different order or using a calculator.

Example 1: Multiplying 2-Digit Numbers

Let’s multiply 14 and 25.

Step 1: Write the numbers

Step 2: Multiply the multiplicand by each digit of the multiplier

14 × 20 = 280 14 × 5 = 70

Step 3: Write the partial products

Step 4: Add the partial products

280 + 70 = 350

Step 5: Check your answer

14 × 25 = 350 (using a calculator)

Example 2: Multiplying 3-Digit Numbers

Let’s multiply 147 and 36.

Step 1: Write the numbers

Step 2: Multiply the multiplicand by each digit of the multiplier

147 × 30 = 4410 147 × 6 = 882

Step 3: Write the partial products

Step 4: Add the partial products

4410 + 882 = 5292

Step 5: Check your answer

147 × 36 = 5292 (using a calculator)

📝 Note: Make sure to line up the digits correctly when adding the partial products.

Conclusion

Multiplying multi-digit numbers can be a challenging task, but with the right approach and practice, it can become a breeze. By following the step-by-step guide outlined in this post, you can become more confident and proficient in your ability to multiply multi-digit numbers.

Related Terms:

• Multiplication Worksheet PDF
• Multiplication 2-digit by 2-digit Worksheet
• Multiplication Worksheet grade 4
• Multiplication and division Worksheet
• Multiplication 1 digit Worksheet