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### Course: 6th grade (Eureka Math/EngageNY) > Unit 4

Lesson 1: Topic B: Special notations of operations- Intro to exponents
- Squaring numbers
- Intro to exponents
- Meaning of exponents
- Powers of whole numbers
- The zeroth power
- Exponents of decimals
- Powers of fractions
- Powers of fractions & decimals
- Exponents review
- Order of operations introduction
- Order of operations examples: exponents
- Comparing exponent expressions
- Order of operations (no exponents)
- Order of operations
- Worked example: Order of operations (PEMDAS)
- Order of operations with fractions and exponents

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# 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(113 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.(174 votes)

- Can We Negative Square Num.? If yes, How?(67 votes)
- Yes, we can use in imaginary numbers, where (-1)²=i , I think you're gonna see it at the pre-cauculus subject.(56 votes)

- Good Luck guys I am hope you do well(44 votes)
- thanks but I'm just here to answer peoples questions(19 votes)

- what if 6x6x6x9=?(25 votes)
- 6 x 6 x 6 x 9 = 6^3 x 9 = 1944(32 votes)

- What is imaginary numbers?(20 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!(42 votes)

- What are some tips to be a great 6th grader since it is the first time in middle school?(14 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.(3 votes)

- It's the same as finding the square root of something.(13 votes)
- Yes, just the opposite process!

You can say that "squaring" and "square rooting" are inverse operations. (when n >= 0 though)(12 votes)

- what is that bar on top of a number!?(10 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(13 votes)

- I have a 7th Grade Placement test that is part of what determines if I go to the Algebra class next year (the other factors are Grades in Math and Iready Math Diagnostics) So please add more to 6th Grade like getting ready for 7th Grade Placement exam. You don't have to add more questions just make a separate course just to the reason for the Placement exam that many people take.(9 votes)
- are you going into 6th grade or 5th?(2 votes)

- I have a question; I'm going into 8th Grade next year and decided to take the highest math class because the lower classes were too easy for me. Is it going to be extremely harder than before? What can I do to prepare?(5 votes)
- Make sure to understand operations with whole numbers, fractions, decimals, percents, and signed numbers. Make sure to understand the properties of numbers, especially the distributive property.

You will also want to review order of operations, exponents, and solving one-step and two-step equations.

Have a blessed, wonderful day!(9 votes)