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Course: 5th grade > Unit 10
Lesson 5: Comparing decimal place valuesPowers of ten: FAQ
Frequently asked questions about powers of ten.
What is a power of ten?
A power of ten is when you multiply ten by itself a certain number of times. For example, means to multiply ten by itself twice, resulting in .
Try it yourself with this exercise:
What does it mean to multiply and divide by , , or ?
When you multiply a number by , , or , you're making it ten, one hundred, or one thousand times larger.
When you divide a number by , , or , you're making it ten, one hundred, or one thousand times smaller.
Try it yourself with this exercise:
How do I multiply and divide a decimal by , or ?
When you multiply a decimal by , or , you're effectively shifting the decimal point to the right.
- When you multiply by
, the decimal point moves one place to the right. For example, . - When you multiply by 100, the decimal point moves two places to the right. For example,
. - When you multiply by 1000, the decimal point moves three places to the right. For example,
.
When you divide a decimal by , or , you're effectively shifting the decimal point to the left.
- When you divide by
, the decimal point moves one place to the left. For example, . - When you divide by
, the decimal point moves two places to the left. For example, . - When you divide by
, the decimal point moves three places to the left. For example, .
Try it yourself with these exercises:
How do I multiply by a power of ten?
To multiply by a power of ten, you follow the same rules as before. For example, to multiply by , you multiply by , and to multiply by , you multiply by .
Try it yourself with this exercise:
Why do I need to know how to multiply and divide by powers of ten?
Multiplying and dividing by powers of ten is a useful skill in a lot of different situations. For example, you might use it when converting between metric units or when calculating percentages.
Want to join the conversation?
- Can you have negative powers? Like 10^-2?(19 votes)
- Great question for 5th grade! The answer is yes! A negative power means taking the reciprocal of the answer, so 10^-2 = 1/(10^2) = 1/100 = 0.01.
Have a blessed, wonderful day!(29 votes)
- what if the power of ten is like ten to the power of 30 how would you find that?(16 votes)
- Think of the power as how many times you put zero after 1.(10 votes)
- I finished it, and I wonder what would happen if there was a 10 to the power of anything beyond 5(10 votes)
- yes, you can do that! there is a ten to the power of 6, or 7, or 8, or 9... Well, all i'm saying is it can go on forever.(11 votes)
- this is actually pretty fun :)(11 votes)
- i feel like this is too hard(5 votes)
- have a blessed & beautiful day!(12 votes)
- hi! so, i think i'm pretty good at this! if anyone needs help just ask. :)(11 votes)
- its it just me or do yall somethimes acidentaly skip articals too?(8 votes)
- How do you do problems like "The value in the number 8 in this number 1985.89, what is 1/10 more of that number 8?"(6 votes)
- Give me vbuckkkkkkksssssss please?(6 votes)
- do you like cookie
or
ice cream
would you rather of the day(4 votes)