Understanding Multiplication: A Comprehensive Guide
Multiplication is one of the fundamental operations in mathematics that plays a crucial role in various practical applications and academic pursuits. In this article, we will explore the concept of multiplication, walk through a detailed example, and provide a step-by-step solution to a complex multiplication problem. By the end, you will have a solid understanding of how to solve such problems.
The Basics of Multiplication
Multiplication is a form of repeated addition. It is a way to express the operation of adding a number to itself a specified number of times. The number of times a number is added is called the multiplicand, and the number you are multiplying by is called the multiplier.
Example: Understanding the Problem
Let's consider the problem: 6 x 160 x 25 x 3.3.
Breaking Down the Multiplication Problem
To solve the problem 6 x 160 x 25 x 3.3, we need to follow a sequential multiplication process. Let's break it down step by step:
6 x 160 960
960 x 25 24000
24000 x 3.3 79200
Step-by-Step Solution
Now, let's go through these steps in detail:
Step 1: 6 x 160
First, we calculate 6 x 160:
6 x 160 6 x (100 60) 6 x 100 6 x 60
6 x 100 600
6 x 60 360
600 360 960
Step 2: 960 x 25
Next, we calculate 960 x 25:
960 x 25 960 x (20 5) 960 x 20 960 x 5
960 x 20 19200
960 x 5 4800
19200 4800 24000
Step 3: 24000 x 3.3
Finally, we calculate 24000 x 3.3:
24000 x 3.3 24000 x 3 24000 x 0.3
24000 x 3 72000
24000 x 0.3 7200 (since 0.3 3/10, we get 24000 x 3/10 7200)
72000 7200 79200
Therefore, the final answer is 79200.
Conclusion
Multiplication is a versatile and essential tool in both academic and practical settings. By practicing and understanding the step-by-step process, you can solve more complex mathematical problems with confidence. If you have any further questions or need additional clarification, feel free to reach out!