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Standard Form Notation
Positive indices and standard form - part 2


Writing ordinary numbers in standard form can be done in a similar way, working backwards.

For example, to write 51000 in standard form, we first put the decimal point behind the first digit 5.100. How many places have we moved the decimal point? Four places. Therefore 51000 (ordinary form) = 5.1000 * 104 = 5.1 * 104 (standard form)

Remember: In order to have standard form, we have to have two parts:

  • the decimal part with the decimal point after the first digit
  • the power of ten part

Exercise 2

Write the following numbers in standard form:

a) 2000

Solution:

b) 342000 =  * 10 to the power of 
c) 5390 =  * 10 to the power of 
d) 3898000 =  * 10 to the power of 
e) 218 =  * 10 to the power of 
f) 54.66 =  * 10 to the power of 
g) 706.04 =  * 10 to the power of