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### Course: Class 7 (Old)>Unit 11

Lesson 4: Large numbers in standard form

# Orders of magnitude exercise example 1

Created by Sal Khan.

## Want to join the conversation?

• What does the carrot sign mean?
• Weyoweyoweyo. Watch out, here comes the grammar wagon!
It's actually spelled caret and has many uses. Here it's being used to express exponentiation.
http://en.wikipedia.org/wiki/Caret
• is there an exercise for this video cause it seems quite cool
• so how would i enter a negative exponent?
• Enter this - before your exponent. Example: -3^4
• why does he use the carrot sign?
• The carrot sign means the exponent so 5 to the 4th power would be written as 5^4
(1 vote)
• what website do you use to show the questions
(1 vote)
• The website in the video is KhanAcademy. That is what KhanAcademy used to look like.
• Can someone help me understand this question?
By how many orders of magnitude do a \$20 bill and a nickel differ?
(1 vote)
• if I understand the Wikipedia source (https://en.wikipedia.org/wiki/Order_of_magnitude) correctly:

One order of magnitude is 10 to the first power. Two orders of magnitude is 10 to the second power. And so on.

20\$ = 2 * 10^3 cents
1 nickel = 5 * 10^0 cents

The difference in the powers of ten (the difference between the exponents of 10) between the two quantities is 3. Therefore they differ by three orders of magnitude.

Only powers of 10 are considered, not single digits less than 10.
...
However, my reply needs expert confirmation. Someone with more experience is welcome to throw some cents :)
• Is there an actual introduction to order of magnitude because I don't fully understand it yet