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Course: Pre-algebra>Unit 5

Lesson 1: Meaning of 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:
${3}^{2}=3×3=9$
Here's a question to make sure you got that:
What does it mean to square a number?

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:

Problem 1A
${1}^{2}=$

Challenge set:

Problem 2A
${a}^{2}=$

Want to join the conversation?

• what is 5 to the third power
• 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.
• Can We Negative Square Num.? If yes, How?
• Yes, we can use in imaginary numbers, where (-1)²=i , I think you're gonna see it at the pre-cauculus subject.
• Good Luck guys I am hope you do well
• thanks but I'm just here to answer peoples questions
• what if 6x6x6x9=?
• 6 x 6 x 6 x 9 = 6^3 x 9 = 1944
• What is imaginary numbers?
• 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!
• What are some tips to be a great 6th grader since it is the first time in middle school?
• 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.
• It's the same as finding the square root of something.