The numbers of multiples of given number area)1b)finitec)infinited)non...
There seems to be an error in the given options. The correct answer to the question "The numbers of multiples of a given number are" is actually "C) infinite".
Let's break down the concept of multiples and explain why the correct answer is infinite.
Explanation:
What are multiples?
Multiples are the numbers that can be divided evenly by a given number without leaving a remainder. For example, the multiples of 3 are 3, 6, 9, 12, 15, and so on.
Multiple patterns:
When we look at the multiples of any given number, we can observe a pattern. Multiples of a number are obtained by multiplying that number by different whole numbers. For example, the multiples of 3 can be obtained by multiplying 3 by 1, 2, 3, 4, and so on.
Infinite multiples:
Since there is no limit to the whole numbers we can use to multiply a given number, there is no limit to the number of multiples we can obtain. Therefore, the multiples of any given number are infinite.
Examples:
Let's take a few examples to further illustrate the concept:
- Multiples of 2: 2, 4, 6, 8, 10, 12, 14, ...
- Multiples of 5: 5, 10, 15, 20, 25, 30, 35, ...
- Multiples of 7: 7, 14, 21, 28, 35, 42, ...
As you can see, in each case, we can keep finding multiples by multiplying the given number by different whole numbers, and the list goes on indefinitely.
Conclusion:
In conclusion, the multiples of a given number are infinite because we can always find more multiples by multiplying the given number by different whole numbers.