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## Class 8 Math (Assamese)

### Course: Class 8 Math (Assamese)>Unit 11

Lesson 4: Numbers in standard form

# Scientific notation examples

More scientific notation examples. Created by Sal Khan.

## Want to join the conversation?

• can you upvote me i need badges.
• How did scienctific notation even come to be?
• The concept's actually pretty old, Archimedes invented the concept of multiplying super small and large numbers by powers of ten. It's just an easier way to write ridiculously long numbers.
• At is that supposed to be negative 0.0000064?
• A negative exponent on the 10s indicates division by 10s.
10^(-1) = 1/10
10^(-2) = 1/10^2 = 1/100
etc.

0.0000064 = 64/10000000
This is division by a lot of 10s.
So, in scientific notation it becomes 6.4 * 10^(-6)

Hope this helps.
• Sal said that 7,012,000,000,000 had 12 places in it. There are actually 13!
• When he said 12 places,he meant 12 places after the 7. Because when you write that in scientific notation it would be 7.012 x 10^12
• would 200 as a scientific notation be:
2.00 x 10^-2 or 2.00 x 10^2
• Sorry if this is late but 200 in scientific notation is 2*10^2

The reason it is not the first one is because having a negative exponent means we divide the number instead of multiplying. The simplified version of 2*10^-2 would be 0.02

Hope that helped! Have a great day.
• i use a simulation programm to calculate magnitude of displacement etc and i see notations like max displacement 4.0858e-02 (mm)
How does this translate?
• e relates to 10^-2, so it would be .040858
• so the decimal always go's between the first and second number
• My teacher showed me something different,this is so confusing!!
• What would be the scientific notation for 437.5?
(1 vote)
• Normal scientific notation involved having only one digit before the decimal point. We can write 437.5 as:
437.5 * 10^0, since any number to the 0th power = 1
From here, we keep increasing the power of ten (and dividing 437.5 by 10 accordingly) until we get our desired format):
43.75 * 10^1
4.375 * 10^2
We have our answer at 4.375 * 10^2. Since 10 squared is a hundred, this answer makes sense. Hope this helps!