document.write( "Question 260829: My homework says \"Show that the number is a rationsl by righting it in a/b form. Then give the multiplication inverse and the additive inverse of the number\" how would you do that?
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document.write( "1. -4/7
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document.write( "2. 8 2/5
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document.write( "3. -1 1/2 \n" );
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Algebra.Com's Answer #192132 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the product of a number and it's multiplicative inverse is equal to 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "see http://www.mathwords.com/m/multiplicative_inverse_of_a_number.htm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum of a number and it's additive inverse is equal to 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "see http://www.mathwords.com/a/additive_inverse_number.htm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to find the multiplicative inverse of a number, you take it's reciprocal.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you take it's reciprocal by dividing the number into 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to find the additive inverse of a number, you take it's opposite.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to find it's opposite, you reverse the sign.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplicative inverse of 5 is 1/5 because 1/5 * 5 = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "additive inverse of 5 is -5 because 5 + (-5) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "problem number 1:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "number is -4/7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplicative inverse is -7/4 because -(4/7) * (-7/4) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we got that by taking (-4/7) and dividing it into 1 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/(-4/7)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if we multiply numerator and denominator of that expression by 7/7, we get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7/-4 = (-7/4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "additive inverse is 4/7 because -(4/7) + (4/7) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "problem number 2:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "number is 8 + 2/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "convert this number to an improper fraction to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "40/5 + 2/5 = 42/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplicative inverse is 5/42 because 5/42 * 42/5 = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "additive inverse is -42/5 because 42/5 + (-42/5) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "problem number 3:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-1 1/2 is the same as -1 - 1/2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "convert to improper fraction to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-2/2 - 1/2 = -3/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplicative inverse is -2/3 because -(3/2) * (-(2/3) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "additive inverse is 2/3 because -2/3 + 2/3 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "improper fraction is a fraction in a/b form where the numerator is greater than the denominator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |