document.write( "Question 1196160: Performing the indicated operations and express final answer using the correct number of significant figures.
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document.write( "1. 765 cm3 ÷ 2.5 cm3 =
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document.write( "2. 45.56 N + 343.9 + 123.8452 \n" );
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Algebra.Com's Answer #828887 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "Problem 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "765 cm^3 ÷ 2.5 cm^3 = 765 ÷ 2.5 = 306 \n" ); document.write( "The value 306 has 3 sig figs, but 2.5 has 2 sig figs \n" ); document.write( "We always round to the smallest sig fig count when multiplying or dividing\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore 306 rounds to 310 when rounding to 2 sig figs \n" ); document.write( "The 0 in 310 is not a sig fig.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 310 \n" ); document.write( "There are no units since they canceled out\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==============================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Problem 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'm assuming every value is in newtons\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "45.56 N + 343.9 N + 123.8452 N \n" ); document.write( "(45.56 + 343.9 + 123.8452) N \n" ); document.write( "513.3052 N\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We round to the nearest tenth because the value 343.9 is the least accurate among the three original values being added. \n" ); document.write( "This works for addition and subtraction only. This rule is similar to the multiplication and division rule mentioned earlier; however, we look at the number of decimal places and not the sig fig count. We go for the smallest decimal place count, i.e. the least accurate decimal\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "513.3052 rounds to 513.3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 513.3 N \n" ); document.write( " \n" ); document.write( " |