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Can anyone please explain how to do the attached problem?  Thanks!

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brandih | eNotes Employee

Posted September 24, 2013 at 5:47 PM via web

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Can anyone please explain how to do the attached problem?  Thanks!

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baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted September 24, 2013 at 6:00 PM (Answer #1)

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Scientific Notation is an expression of a number that is the product of a number that is `1<=x<10`  multiplied by a power of 10.

First, simplify the numerator.

`3 3/7* (2 2/5 + 1 1/10)`

Parenthesis first, `2 2/5 = 2 4/10`

`(2 4/10 + 1 1/10) = 3 5/10 = 3 1/2`

Now, multiply `3 3/7* 3 1/2`

To multiply mxed numbers, change to improper fractions:  `24/7* 7/2`

7's cancel, 2 and 24 cancel to leave 12.

`(12) / (3 *10^4)`

`3* 10^4 = 3* 10000 = 30000`

This is now `12/3000 = 0.0004`  

To place in scientific notation, move decimal to make value between 1 and 10 multiplied by 10 to the power of: how many places you moved decimal.  Decimal to left means negative exponent.  Decimal to right makes positive exponent.

Answer:  `4* 10^-4`

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