How many perfect squares are between 1 and 100? This is a question that might seem simple at first glance, but it requires a bit of mathematical thinking to find the answer. In this article, we will explore the concept of perfect squares and determine the exact number of them within the given range.
To begin with, a perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, 25, and so on, are all perfect squares because they are the squares of 1, 2, 3, 4, 5, and so forth. The task at hand is to identify all the perfect squares that lie between 1 and 100.
One way to approach this problem is by listing the perfect squares within the given range. Starting with 1, we can see that the next perfect square is 4, followed by 9, 16, 25, 36, 49, 64, 81, and finally 100. By doing this, we can count the number of perfect squares between 1 and 100.
Upon counting, we find that there are a total of 10 perfect squares between 1 and 100. These are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. Each of these numbers is the square of an integer, and they all fall within the specified range.
In conclusion, the answer to the question “How many perfect squares are between 1 and 100?” is 10. This can be achieved by identifying the perfect squares within the range and counting them. It is a straightforward problem that demonstrates the concept of perfect squares and their occurrence in the real number system.
