How many integers between 1 and 100 are multiples of 5?

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Question: How many integers between 1 and 100 are multiples of 5?

Options:

Correct Answer: 20

Solution:

Multiples of 5 from 1 to 100 are 5, 10, ..., 100. There are 20 multiples.

How many integers between 1 and 100 are multiples of 5?

How many integers between 1 and 100 are multiples of 5?

Step 1: Identify the range of numbers we are looking at, which is from 1 to 100.
Step 2: Understand what a multiple of 5 is. A multiple of 5 is any number that can be divided by 5 without leaving a remainder.
Step 3: List the multiples of 5 within the range. They are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.
Step 4: Count how many multiples of 5 we have listed. There are 20 numbers in total.
Step 5: Conclude that there are 20 integers between 1 and 100 that are multiples of 5.

Multiples of a Number – Understanding how to identify and count multiples of a given integer within a specified range.
Arithmetic Sequences – Recognizing that multiples of a number form an arithmetic sequence where each term increases by the number itself.