How do you simplify #3.2\times -4.1\div 2+3.4\times 3#?

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Answer 1 · 2016-10-22T08:37:18

#3.64#

Count the number of terms.

Work out each term separately and add the answers in the last line.

#color(red)(3.2\times -4.1\div 2)color(blue)(+3.4\times 3)" "larr# there are 2 terms

#=color(red)((cancel3.2^1.6\times -4.1)/cancel2)color(blue)(+3.4\times 3)#

#= color(red)(1.6 xx-4.1)color(blue)( + 3.4 xx3)#

#= color(red)(-6.56)color(blue)( +10.2)" "larr# pos x neg = neg

#=color(blue)( 10.2)color(red)(-6.56)" "larr# easier to do this way

#=3.64#