Lesson Video: Finding the Squares of Numbers | Nagwa Lesson Video: Finding the Squares of Numbers | Nagwa

Lesson Video: Finding the Squares of Numbers Mathematics

We explain what we mean by terms like 5 squared or the square of 16 and how to write them using mathematical notation (5² or 16²) as well as how to evaluate their result.

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Video Transcript

Let’s take a quick look at finding squares of numbers.

A square of a number is a power that has an exponent of two.

If someone says, find the square of five, what do you think they mean? This is what they mean, five with an exponent of two, five squared. When we’re squaring numbers, we’re multiplying them by themselves. Here, that would be five times five. So, the square of five is 25. Here’s a way to visualize this square, five rows of five, for a total of 25 blocks.

Here’s another example.

Find the square of 16.

Well, I know that that means 16 squared, 16 to the power of two. I also know that that means 16 times 16. And from here, we really have two choices, you can solve it by hand or solve it with a calculator. If I’m going to solve it by hand, I set it up this way. It looks like this, for a final answer of 256. And the calculator method, 16 times 16 will return the same answer of 256.

Our last example asks us to find the square of 20.

I know that that means we want to take 20 to the power of two, which means 20 times 20. If I solve it by hand, I start here. This returns the answer of 400. Verifying that with my calculator method also returns the answer of 400. The square of 20 equals 400. Now, it’s your turn to go try and find some squares.

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