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Standard Form Notation
Positive indices and standard form - homework

Important to remember:

  • to translate from standard form notation to ordinary form we have to multiply the decimal by 10 (as many times as requested); when we multiply by 10 the decimal moves one place to the right
  • to translate from ordinary form to standard form we are working backwards: first we put the decimal point behind the first digit and to get the power of ten we count how many places we moved the decimal point.

Exercise 1: Write as ordinary numbers:
 
1)  6.248 * 103 = 
2)  6.45 * 106 = 
3)  8.75 * 109 = 
4)  1.381 * 102 = 
5)  3.1 * 108 = 
6)  5.06 * 103 = 
7)  2.15 * 107 = 
8)  4.65 * 102 = 
9)  6.01 * 104 = 
10)  7.805 * 105 = 
11)  9.316 * 106 = 
12)  5.009 * 109 = 
13)  8.88 * 101 = 
14)  7.899 * 105 = 
15)  8.0003 * 103 = 

Exercise 2: Write each number in standard form:
 
1)  968000 =  * 10 to the power of 
2)  219 =  * 10 to the powerof 
3)  961.4 =  * 10 to the power of 
4)  3004 =  * 10 to the power of 
5)  68310.6 =  * 10 to the power of 
6)  89000 =  * 10 to the power of 
7)  287.15 =  * 10 to the power of 
8)  58000 =  * 10 to the power of 
9)  816 =  * 10 to the power of 
10)  5878000 =  * 10 to the power of 
11)  800000000 =  * 10 to the power of 
12)  97.42 =  * 10 to the power of 
13)  12.43 =  * 10 to the power of 
14)  85000000 =  * 10 to the power of 
15)  164.3 =  * 10 to the power of 


 
 
 
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