Multiplying by Multiples of 10: A Simplified Approach
Multiplying numbers by multiples of 10 can be a daunting task for many students. However, with a few simple tricks and strategies, this process can be made much easier. In this article, we will explore the various methods of multiplying by multiples of 10 and provide you with some practical tips to make this process a breeze.
Understanding the Concept of Multiplying by 10
When we multiply a number by 10, we are essentially adding a zero to the end of the number. For example, 5 × 10 = 50. This is because the digit 5 is shifted one place to the left, making it 50.
🤔 Note: This concept applies to all numbers, not just single-digit numbers.
Multiplying by Multiples of 10
Now that we understand the concept of multiplying by 10, let’s move on to multiplying by multiples of 10. A multiple of 10 is any number that can be divided by 10 without leaving a remainder. Examples of multiples of 10 include 20, 30, 40, and so on.
To multiply a number by a multiple of 10, we can use the following steps:
- Multiply the number by 10
- Multiply the result by the remaining multiple
For example, let’s say we want to multiply 5 by 20.
- First, multiply 5 by 10: 5 × 10 = 50
- Next, multiply 50 by 2 (the remaining multiple): 50 × 2 = 100
Therefore, 5 × 20 = 100.
Using the "Zero Trick" to Multiply by Multiples of 10
Another way to multiply by multiples of 10 is to use the “zero trick.” This trick involves adding a zero to the end of the number for each multiple of 10.
For example, let’s say we want to multiply 5 by 30.
- Add a zero to the end of 5 for each multiple of 10: 5 becomes 500
- Multiply 500 by 3 (the remaining multiple): 500 × 3 = 1500
Therefore, 5 × 30 = 1500.
Multiplying Decimals by Multiples of 10
Multiplying decimals by multiples of 10 is a bit trickier than multiplying whole numbers. However, the concept remains the same.
To multiply a decimal by a multiple of 10, we can use the following steps:
- Multiply the decimal by 10
- Multiply the result by the remaining multiple
For example, let’s say we want to multiply 0.5 by 20.
- First, multiply 0.5 by 10: 0.5 × 10 = 5
- Next, multiply 5 by 2 (the remaining multiple): 5 × 2 = 10
Therefore, 0.5 × 20 = 10.
Table of Multiples of 10
Here is a table of multiples of 10 to help you with your multiplication:
| Multiples of 10 | Result of Multiplying by 10 |
|---|---|
| 10 | adds a zero to the end of the number |
| 20 | adds two zeros to the end of the number |
| 30 | adds three zeros to the end of the number |
| 40 | adds four zeros to the end of the number |
| 50 | adds five zeros to the end of the number |
| 60 | adds six zeros to the end of the number |
| 70 | adds seven zeros to the end of the number |
| 80 | adds eight zeros to the end of the number |
| 90 | adds nine zeros to the end of the number |
📝 Note: This table can be used as a reference to help you with your multiplication.
To summarize, multiplying by multiples of 10 can be made easy by using the “zero trick” and understanding the concept of multiplying by 10. By adding a zero to the end of the number for each multiple of 10, you can simplify the multiplication process. Additionally, using the table of multiples of 10 can help you with your multiplication.
What is the concept of multiplying by 10?
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Multiplying by 10 involves adding a zero to the end of the number.
How do you multiply a decimal by a multiple of 10?
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To multiply a decimal by a multiple of 10, multiply the decimal by 10 and then multiply the result by the remaining multiple.
What is the “zero trick” in multiplying by multiples of 10?
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The “zero trick” involves adding a zero to the end of the number for each multiple of 10.
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