how do you do 10 to the 12 power

10 to the 12th power would be 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10. The answer would be 1000000000000

0.9 x 0.9= 0.81? I see the math and understand how it is done. But 0.81 is smaller than 0.90? How does a bigger number (0.9) multiplied by itself ended up being smaller?

I think it's because they are decimals, so when they are multiplied, they go backwards instead of forwards. Is that helpful at all? It probably isn't. I hope I didn't confuse you more!

A lot of the time when I'm stuck on an equation I tend to watch the video a few times and sometimes it still doesn't help because the person on the video does a lot of the math in their head and that's where it loses me is there any way for me to get one-on-one help?

Hi Christine, Yes, I have that problem sometimes too. Sal (in the voiceover) usually does the mental math faster than we can catch up. Unfortunately there is no feature here that you can get one-on-one help. (or not that I know of) What I would suggest it to pause the video and try to do the math yourself on a piece of paper or in your head. If you don't get that math, you could try searching up how to do it here on Khan Academy.

At the end of the video sals says another way to think about it is "9 tenths of 9 tenths is 81 hundreths" But isn't 0.9/0.9 = 1?

"Of" refers to multiplication; He's saying 0.9*0.9 = 0.81

I really hate how he doesn't fully explain why you don't add the same amount of zeros to the second example here. You moved the decimal two spots to get 0.04 after multiplying 0.2 x 0.2. But why don't you do that for 0.9?

You need to count decimal places needed. In both cases, the numbers being multiplied have 1 decimal place. 1+1 = 2 decimal places in your answer. 2x2 = 4 Since this is one digit, you need to put a zero in front of the 4 to create the 2 decimal place: 0.04 9x9 = 81 This is already a 2 digit number. So, the decimal point goes in front of the 8: 0.81 Note: This is no different then if you multiplied 0.2 x 0.12 There are 3 decimal digits. So, the answer becomes 0.024 You may find it helpful to review the lessons on multiplying decimal numbers.

how do you use a exponent when using a fraction, for example (2/5) and 3 is a exponent.

You have to convert the fraction (2/5) to a decimal (0.4) than you can use the exponent (3) so 0.4x0.4x0.4= 0.064 hope this helps

what is 24 to the power of 5

Sorry, but I can not just give you the answer so I will tell you how to get the answer so you can also write out 24 to the power of 5 like this "24 Times 24 times 24 times 24 times 24 =" so exponents are pretty much multiplying one number as many times as the exponent says to. I hope this helped.

Main content

6th grade

Course: 6th grade > Unit 4

Lesson 3: Powers of fractions and decimals

Exponents of decimals

Name: Exponents of decimals
Uploaded: 2017-10-30T15:32:54Z
Description: Exponents of decimals can be calculated by multiplying the decimal number by itself as many times as the exponent indicates. When multiplying decimals, count the total number of digits to the right of the decimal points in both numbers and place the same number of digits to the right of the decimal point in the product.

Google Classroom

Exponents of decimals can be calculated by multiplying the decimal number by itself as many times as the exponent indicates. When multiplying decimals, count the total number of digits to the right of the decimal points in both numbers and place the same number of digits to the right of the decimal point in the product.

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davion t
Posted 6 years ago. Direct link to davion t's post “how do you do 10 to the 1...”
how do you do 10 to the 12 power
Button navigates to signup pageComment on davion t's post “how do you do 10 to the 1...”
(10 votes)
Answer
- Black Fox
  Posted 6 years ago. Direct link to Black Fox's post “10 to the 12th power woul...”
  10 to the 12th power would be 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10. The answer would be 1000000000000
  Comment on Black Fox's post “10 to the 12th power woul...”
  (30 votes)
Yellow Top White Knot
Posted 5 years ago. Direct link to Yellow Top White Knot's post “At the end of the video s...”
At the end of the video sals says another way to think about it is "9 tenths of 9 tenths is 81 hundreths"

But isn't 0.9/0.9 = 1?
Button navigates to signup pageComment on Yellow Top White Knot's post “At the end of the video s...”
(8 votes)
Answer
- Claire Beamer
  Posted 5 years ago. Direct link to Claire Beamer's post “"Of" refers to multiplic...”
  "Of" refers to multiplication; He's saying 0.9*0.9 = 0.81
  Comment on Claire Beamer's post “"Of" refers to multiplic...”
  (21 votes)
shueytravis5454
Posted 5 years ago. Direct link to shueytravis5454's post “0.9 x 0.9= 0.81? I see th...”
0.9 x 0.9= 0.81? I see the math and understand how it is done. But 0.81 is smaller than 0.90? How does a bigger number (0.9) multiplied by itself ended up being smaller?
Button navigates to signup pageComment on shueytravis5454's post “0.9 x 0.9= 0.81? I see th...”
(10 votes)
Answer
- LucieCR
  Posted 4 years ago. Direct link to LucieCR's post “I think it's because they...”
  I think it's because they are decimals, so when they are multiplied, they go backwards instead of forwards. Is that helpful at all? It probably isn't. I hope I didn't confuse you more!
  Comment on LucieCR's post “I think it's because they...”
  (12 votes)
Christine Queen
Posted 3 years ago. Direct link to Christine Queen's post “A lot of the time when I'...”
A lot of the time when I'm stuck on an equation I tend to watch the video a few times and sometimes it still doesn't help because the person on the video does a lot of the math in their head and that's where it loses me is there any way for me to get one-on-one help?
Button navigates to signup pageButton navigates to signup page
(9 votes)
Answer
- hyunjinsong5
  Posted 3 years ago. Direct link to hyunjinsong5's post “Hi Christine, Yes, I have...”
  Hi Christine,
  Yes, I have that problem sometimes too. Sal (in the voiceover) usually does the mental math faster than we can catch up. Unfortunately there is no feature here that you can get one-on-one help. (or not that I know of)
  
  What I would suggest it to pause the video and try to do the math yourself on a piece of paper or in your head. If you don't get that math, you could try searching up how to do it here on Khan Academy.
  Comment on hyunjinsong5's post “Hi Christine, Yes, I have...”
  (10 votes)
Ablyss
Posted 3 months ago. Direct link to Ablyss's post “I really hate how he does...”
I really hate how he doesn't fully explain why you don't add the same amount of zeros to the second example here. You moved the decimal two spots to get 0.04 after multiplying 0.2 x 0.2. But why don't you do that for 0.9?
Button navigates to signup pageButton navigates to signup page
(5 votes)
Answer
- Kim Seidel
  Posted 3 months ago. Direct link to Kim Seidel's post “You need to count decimal...”
  You need to count decimal places needed. In both cases, the numbers being multiplied have 1 decimal place. 1+1 = 2 decimal places in your answer.
  2x2 = 4
  Since this is one digit, you need to put a zero in front of the 4 to create the 2 decimal place: 0.04
  
  9x9 = 81
  This is already a 2 digit number. So, the decimal point goes in front of the 8: 0.81
  
  Note: This is no different then if you multiplied 0.2 x 0.12
  There are 3 decimal digits. So, the answer becomes 0.024
  
  You may find it helpful to review the lessons on multiplying decimal numbers.
  Button navigates to signup page
  (9 votes)
wolfboythemathdog
Posted 3 years ago. Direct link to wolfboythemathdog's post “Would zero to the zeroth ...”
Would zero to the zeroth power be one or zero?
Button navigates to signup pageComment on wolfboythemathdog's post “Would zero to the zeroth ...”
(7 votes)
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- aliyah almazan
  Posted 2 years ago. Direct link to aliyah almazan's post “i think it would be just ...”
  i think it would be just a 0
  Comment on aliyah almazan's post “i think it would be just ...”
  (3 votes)
Panda7
Posted a month ago. Direct link to Panda7's post “You ever notice how 9x9 i...”
You ever notice how 9x9 is just 9+9 backwards? 9x9=81 & 9+9=18
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(8 votes)
Answer
H4MZ4 N3R
Posted 3 years ago. Direct link to H4MZ4 N3R's post “What is 0 to the power of...”
What is 0 to the power of 0?
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(6 votes)
Answer
- Biologypro
  Posted 2 years ago. Direct link to Biologypro's post “0 to the power of 0 = 1”
  0 to the power of 0 = 1
  Comment on Biologypro's post “0 to the power of 0 = 1”
  (4 votes)
Yes We Can Do It!!!
Posted 3 years ago. Direct link to Yes We Can Do It!!!'s post “how do you use a exponent...”
how do you use a exponent when using a fraction, for example (2/5) and 3 is a exponent.
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(4 votes)
Answer
- L N
  Posted 3 years ago. Direct link to L N's post “You have to convert the f...”
  You have to convert the fraction (2/5) to a decimal (0.4) than you can use the exponent (3) so 0.4x0.4x0.4= 0.064 hope this helps
  Button navigates to signup page
  (2 votes)
Arianna Covarrubias
Posted 2 years ago. Direct link to Arianna Covarrubias's post “what is 24 to the power o...”
what is 24 to the power of 5
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(3 votes)
Answer
- Peyton Bennett
  Posted 2 years ago. Direct link to Peyton Bennett's post “Sorry, but I can not just...”
  Sorry, but I can not just give you the answer so I will tell you how to get the answer so you can also write out 24 to the power of 5 like this "24 Times 24 times 24 times 24 times 24 =" so exponents are pretty much multiplying one number as many times as the exponent says to. I hope this helped.
  Button navigates to signup page
  (4 votes)

Video transcript

- [Instructor] 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 that if I take something to the third power, that means I take three of that number and I multiply them together. So it'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, two times two is four 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. And 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, four times two is equal to eight 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 nine times nine 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's going to have one, two digits to the right of the decimal point. So 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 nine-tenths is 81 hundredths, but there you go. Using exponents, or taking exponents of decimals is 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 decimal multiplication.