Finding the product of two or more numbers is an essential part of mathematics. To calculate the product of two or more numbers, one can multiply them, or use a suitable rearrangement of the numbers. Rearranging the numbers can make the calculations easier, and more accurate. In this article, we will discuss the process of finding the product by suitable rearrangement.
What is Suitable Rearrangement?
Suitable rearrangement is when the numbers are rearranged in such a way that it makes the calculation of the product easier. It is the rearranging of the order of the numbers, so that one can multiply the numbers in a simple way. The rearrangement can be done by changing the order of the digits, or by grouping the digits in a certain way.
How to Find the Product By Suitable Rearrangement?
The process of finding the product by suitable rearrangement is quite simple. First, one needs to decide which numbers to rearrange. It is important to remember that only two or more numbers can be rearranged, and not just one. Once the numbers are selected, one needs to decide the order in which the numbers should be rearranged. This can be done by grouping the digits, or by changing the order of the digits.
Next, one needs to multiply the numbers in a simple way. For example, if the numbers are 123 and 456, then one can multiply them in the following way: (1 x 4) + (2 x 5) + (3 x 6) = 24 + 10 + 18 = 52. This is a simple way to multiply two numbers, and the product can be found in a few steps.
Some Examples of Suitable Rearrangement
To understand the process of finding the product by suitable rearrangement better, let us look at some examples:
Example 1: If the numbers are 123 and 456, then one can rearrange the numbers in the following way: (1 x 6) + (2 x 5) + (3 x 4) = 6 + 10 + 12 = 28.
Example 2: If the numbers are 876 and 45, then one can rearrange the numbers in the following way: (8 x 4) + (7 x 5) + (6 x 0) = 32 + 35 + 0 = 67.
Example 3: If the numbers are 12345 and 678, then one can rearrange the numbers in the following way: (1 x 8) + (2 x 7) + (3 x 6) + (4 x 5) = 8 + 14 + 18 + 20 = 60.
Advantages of Suitable Rearrangement
There are several advantages of finding the product by suitable rearrangement. The most important advantage is that it saves time, since the calculations can be done in a few steps. Moreover, it is more accurate than the traditional method of multiplying the numbers, since the rearrangement can help in avoiding errors.
Another advantage of suitable rearrangement is that it can be used with any number, no matter how large or small. This makes it an ideal method for finding the product of large numbers. Moreover, it is very easy to remember and understand, which makes it useful for students of all levels.
Conclusion
Finding the product by suitable rearrangement is a simple and effective method for finding the product of two or more numbers. It is more accurate than the traditional method of multiplying the numbers, and can be used with any number, no matter how large or small. Moreover, it is easy to remember and understand, which makes it a great tool for students of all levels.
