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### Course: Arithmetic > Unit 17

Lesson 5: Intro to exponents# Squaring numbers

Learn how to square basic numbers and make a connection between squaring and the area of a square.

Let's start by taking a look at an example evaluating ${3}$ squared:

Here's a question to make sure you got that:

## Connection to a square

Finding ${{3}}^{2}$ (read as "three squared") is the same as finding the area of a square with side length ${3}$ :

## Practice set:

## Challenge set:

## Want to join the conversation?

- what is 5 to the third power(106 votes)
- well, to the power means the number, times itself, however many times the power is. for example,

2 to the fourth power would be 16. because 2 times two is four, that times two is eight, eight times two is sixteen. 2*2*2*2. so five to the three would be 5*5*5. I bet you can find the answer from there.(156 votes)

- Can We Negative Square Num.? If yes, How?(56 votes)
- Yes, we can use in imaginary numbers, where (-1)²=i , I think you're gonna see it at the pre-cauculus subject.(52 votes)

- Good Luck guys I am hope you do well(37 votes)
- thanks but I'm just here to answer peoples questions(19 votes)

- what if 6x6x6x9=?(24 votes)
- 6 x 6 x 6 x 9 = 6^3 x 9 = 1944(29 votes)

- What is imaginary numbers?(19 votes)
- Good question! In the real number system, it is not possible to find the square root of a negative number, since no real number times itself is negative. This is because 0 times itself is 0, a negative number times itself is positive, and a positive number times itself is positive.

To get around this problem, mathematicians invented the imaginary unit i, defined as the square root of -1. This produces an extended number system called the complex numbers, defined as numbers in the form a+bi where a and b are real numbers. For example, 8, 3 - 2i, and 5i are complex numbers. Also, 5i is an example of what is called a pure imaginary number, because 5i is just a real number times i.

Have a blessed, wonderful day!(33 votes)

- What are some tips to be a great 6th grader since it is the first time in middle school?(16 votes)
- I guess socially, stick to your own friend groups and stay out of trouble, but academically, ask as many questions as you can so you can get a firm understanding of what you're learning.(2 votes)

- It's the same as finding the square root of something.(12 votes)
- Yes, just the opposite process!

You can say that "squaring" and "square rooting" are inverse operations. (when n >= 0 though)(10 votes)

- what is that bar on top of a number!?(9 votes)
- It means it's repeating over and over, it comes in handy when you have a 'repeating decimal'. You'll probably learn about repeating decimals when you start to learn about shifting fractions into decimals. Hope that helps <3(11 votes)

- Easy..........

Easy..........

Easy..........(11 votes)- What do you mean by this? Do u need help?(7 votes)

- what are some tips on better prepare my self for 8th grade?(5 votes)
- When i went to 8th grade the summer before i changed up my style. have fun.

and pack a great lunch for the first day(1 vote)