document.write( "Question 84597: Write the answer in scientific notation. (2.4 x 10^-5)(4 x 10^-4) \n" ); document.write( "
Algebra.Com's Answer #60983 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Given:
\n" ); document.write( ".
\n" ); document.write( "(2.4 x 10^-5)(4 x 10^-4)
\n" ); document.write( ".
\n" ); document.write( "For this multiplication you find the product of 2.4 times 4. It is 9.6.
\n" ); document.write( ".
\n" ); document.write( "Next you find the product of 10^-5 times 10^-4. This is done by adding the exponents
\n" ); document.write( "to get the product of 10^(-5-4) = 10^-9
\n" ); document.write( ".
\n" ); document.write( "So in scientific notation form the product for the given two factors is:
\n" ); document.write( ".
\n" ); document.write( "9.6 x 10^-9
\n" ); document.write( ".
\n" ); document.write( "This is the answer to the problem. Note that in scientific notation the product of the two
\n" ); document.write( "numbers should be such that there is only 1 integer to the left of the decimal place.
\n" ); document.write( "To get this you might have to add or subtract from the exponent of ten. In this problem you
\n" ); document.write( "did not have to worry about that because 9.6 has only one integer to the left of the decimal
\n" ); document.write( "place.
\n" ); document.write( ".
\n" ); document.write( "Suppose, for example, the answer had been 103.2 x 10^7. You can convert this to scientific
\n" ); document.write( "notation by putting a decimal point between the 1 and the zero (moving the decimal point
\n" ); document.write( "to the left two places), and adding 2 to the exponent of 10. This would make the answer
\n" ); document.write( "1.032 x 10^9.
\n" ); document.write( ".
\n" ); document.write( "As another example, suppose the answer had been 0.00343 x 10^5. Convert it by moving the
\n" ); document.write( "decimal point 3 places to the right and subtracting 3 from the exponent of 10. This makes
\n" ); document.write( "the answer in scientific notation 3.43 x 10^2.
\n" ); document.write( ".
\n" ); document.write( "Hope this helps you to understand scientific notation a little better.
\n" ); document.write( ".
\n" ); document.write( "Hope this
\n" ); document.write( "
\n" );