yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Exponents of decimals


2m read
·Nov 11, 2024

What we're going to do in this video is get some practice evaluating exponents of decimals.

So let's say that I have 0.2 to the third power. Pause this video, see if you can figure out what that is going to be.

Well, this would just mean if I take something to the third power, that means I take 3 of that number and I multiply them together. So that's 0.2 times 0.2 times 0.2.

Well, what is this going to be equal to? Well, if I take 0.2 times 0.2, that is going to be 0.04. One way to think about it: 2 times 2 is 4, and then I have one number behind the decimal to the right of the decimal here.

I have another digit to the right of the decimal right over here. So my product is going to have two digits to the right of the decimal, so it’d be 0.04.

Then if I were to multiply that times 0.2, so if I were to multiply that together, what is that going to be equal to? Well, 4 times 2 is equal to 8, and now I have one, two, three numbers to the right of the decimal point.

So my product is going to have one, two, three numbers to the right of the decimal point.

So now that we've had a little bit of practice with that, let's do another example.

So let's say that I were to ask you, what is 0.9 squared? Pause this video and see if you can figure that out.

All right, well, this is just going to be 0.9 times 0.9, and what's that going to be equal to? Well, you could just say 9 times 9 is going to be equal to 81.

And so let's see, in the two numbers that I'm multiplying, I have a total of one, two numbers or two digits to the right of the decimal point.

So my answer is going to have one, two digits to the right of the decimal point, so I put the decimal right over there and I'll put the zero, so 0.81.

Another way to think about it is nine tenths, of 9/10 is 81 hundredths.

But there you go: using exponents or taking exponents of decimals, it's the same as when we're taking it of integers. It's just in this case, you just have to do a little bit of a decimal multiplication.

More Articles

View All
Evaluating composite functions | Mathematics III | High School Math | Khan Academy
[Voiceover] So, we’re told that g of x is equal to x squared plus 5 x minus 3 and h of y is equal to 3 times y minus 1 squared, minus 5. And then, we’re asked, what is h of g of negative 6? And the way it’s written might look a little strange to you. T…
15 Ways to Train Your Brain Like a Genius
Your brain is the most powerful weapon you can train to use. If you fine-tune it to your advantage, you can unlock its true potential and there’s really not much to it. It’s been said that the brain stops developing at 25, but that’s not entirely true. Yo…
Chimú 101 | National Geographic
(Gentle music) [Narrator] Before the Spanish conquest and before the Inca empire, one group created the most important South American civilization at the time, the Chimu. The Chimu civilization lasted almost half a millennium, from the year 1000 to aroun…
Controlling a plane in space
Hello everyone! So I’m talking about how to find the tangent plane to a graph, and I think the first step of that is to just figure out how we control planes in three dimensions in the first place. What I have pictured here is a red dot representing a po…
Get in the flow: Watch this if your life is a mess
If this sounds like you, I truly want you to watch this video. Do you often find yourself disorganized, struggling to follow through on anything, and frequently incapable of completing simple tasks, such as tidying up a room or washing dishes? Constantly …
The ULTIMATE Beginner's Guide to Investing in Real Estate Step-By-Step
What’s up you guys! It’s Graham here. So, this video is really meant to be a real estate beginner tutorial where I can really cover the basics and outline the blueprints of exactly what’s needed in order to prepare for and actually invest in real estate. …