Multiples of 5:


In mathematics, a multiple of a number is a number that can be obtained by multiplying that number by any integer. In this case, we are looking for the multiples of 5. Let's examine the given options and determine which one is correct.

a) 100:


To check if 100 is a multiple of 5, we need to divide it by 5. If the result is an integer, then 100 is a multiple of 5. In this case, 100 divided by 5 equals 20, which is an integer. Therefore, 100 is a multiple of 5.

b) 600:


Similarly, we need to divide 600 by 5 to check if it is a multiple of 5. 600 divided by 5 equals 120, which is an integer. Hence, 600 is a multiple of 5.

c) 700:


Dividing 700 by 5 gives us 140, which is an integer. Therefore, 700 is a multiple of 5.

d) Infinite:


The correct answer is option D, infinite.


Explanation:


There are an infinite number of multiples of 5. This is because any number multiplied by 5 will give us a multiple of 5. For example, 5 multiplied by 1 is 5, 5 multiplied by 2 is 10, 5 multiplied by 3 is 15, and so on. This pattern continues indefinitely, producing an infinite number of multiples of 5.

Key Points:
- A multiple of a number is obtained by multiplying that number by any integer.
- To check if a number is a multiple of 5, we divide it by 5 and check if the result is an integer.
- Options a, b, and c are all multiples of 5.
- Option d, infinite, is the correct answer because there are an infinite number of multiples of 5.