Understanding the Meaning of 120×5
Introduction
In the world of mathematics, numbers play a crucial role in solving problems and understanding various concepts. Multiplication, one of the fundamental operations, allows us to find the total value of repeated groups or to scale a value by a given factor. One such multiplication problem that we often come across is 120×5.
Multiplication Basics
Before we dive into the meaning of 120×5, let’s briefly review the basics of multiplication. Multiplication is the process of combining equal groups to find their total value. It can be thought of as a shortcut for repeated addition. For instance, 5×3 is the same as adding 5 three times (5+5+5), which equals 15.
Breaking Down 120×5
Now let’s apply the concept of multiplication to understand the meaning of 120×5. The expression 120×5 requires us to multiply 120 by 5. To do this, we can think of 120 as a group of 120 units or objects. By multiplying it by 5, we essentially create 5 identical groups of 120 units.
The Solution: 600
When we multiply 120 by 5, we find that the total value is 600. In other words, if we have 120 objects and replicate them 5 times, we end up with a total of 600 objects. This can be represented as 120×5 = 600.
Real-World Applications
Understanding the meaning of 120×5 can be helpful in various real-world scenarios. Let’s explore a couple of examples:
1. Purchasing Items: Imagine a store selling packs of 120 pencils. If you decide to buy 5 packs, you would end up with a total of 600 pencils. This is because each pack contains 120 pencils, and by buying 5 packs, you multiply the number of pencils per pack (120) by the number of packs (5).
2. Time Calculation: Consider a situation where you need to calculate the total number of hours worked in a week. If a person works 120 hours over 5 days, multiplying these values together (120×5) would give you the total number of hours worked in that week, which is 600 hours.
Conclusion
In conclusion, understanding the meaning of 120×5 is crucial in comprehending the concept of multiplication. By multiplying 120 by 5, we create 5 groups of 120 units, resulting in a total of 600 units. This knowledge can be applied to various real-world scenarios, from calculating quantities in a store to determining the total duration of time spent on a task. Multiplication allows us to efficiently solve problems and find the total value of repeated groups, making it an essential tool in mathematics.
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