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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