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## 6th grade

### Course: 6th grade > Unit 4

Lesson 1: Meaning of exponents# Squaring numbers

CCSS.Math:

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 start color #11accd, 3, end color #11accd squared:

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

## Connection to a square

Finding start color #11accd, 3, end color #11accd, squared (read as "three squared") is the same as finding the area of a square with side length start color #11accd, 3, end color #11accd:

## Practice set:

## Challenge set:

## Want to join the conversation?

- what is 5 to the third power(69 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.(110 votes)

- Can We Negative Square Num.? If yes, How?(40 votes)
- Yes, we can use in imaginary numbers, where (-1)²=i , I think you're gonna see it at the pre-cauculus subject.(28 votes)

- what if 6x6x6x9=?(17 votes)
- 6 x 6 x 6 x 9 = 6^3 x 9 = 1944(15 votes)

- Good Luck guys I am hope you do well(23 votes)
- thanks but I'm just here to answer peoples questions(4 votes)

- What is imaginary numbers?(7 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!(16 votes)

- 5^3 = 125

5 x 5 x 5 = 125(13 votes) - why do we need alphebat letter for math and why can we use them today or in the future(3 votes)
- Nice question!

Alphabet letters like x or y, fill in the missing space.

This is an easy problem: 3 + x = 12

You can see the x substitutes for the blank! When you have a missing piece in your math problem like that, you can put a letter in it to help. Once you get the answer though, make sure to get rid of the letter unless it’s needed for the problem.

Hope this helps ^-^(7 votes)

- can7 to the power of 1 be possibale?(3 votes)
- Yes, but it would just be seven, as 7^1 is just 7*1.(4 votes)

- what if 5 to the 10th power(3 votes)
- 5 to the 10th power is like multiplying 5 10 times.

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5= 9765625(1 vote)

- What 5 x 5 x 5 x 5 x 5 x 5=?(3 votes)