How do you evaluate #99.86- 13.08- 45.17+ 0.33+ 1.26#?

2 Answers
Shwetank Mauria
Aug 5, 2017

#99.86-13.08-45.17+0.33+1.26=43.20#

Explanation:

To evaluate #99.86-13.08-45.17+0.33+1.26# or similar problems

  1. first make all such numbers upto same places of decimal and here we already have all numbers up to #2dp# and hence not required.
  2. split numbers with positive and negative sign before them separately and add them up separately. Here we have #color(blue)(99.86+0.33+1.26=101.45)# and #color(red)(13.08+45.17=58.25#
  3. subtract smaller number from larger one. Here, we have #color(blue)(101.45)-color(red)(58.25)=43.20#
  4. We have almost got the answer. Only thing left is putting beore it the sign of minus, as sum of those with sign plus was greater and hence we have #99.86-13.08-45.17+0.33+1.26=43.20#

Note that if first number does not have a sign (minus or plus) before it, it means plus.

EZ as pi
Aug 6, 2017

#43.2#

Explanation:

When you are adding and subtracting with decimals. always align the decimal points under each other.

Re-arrange the terms to have the positives first, followed by the negatives. The method of simplifying is the same as with integers,

#color(blue)(99.86 +0.33+1.26)" " color(red)( -13.08-45.17)#

#color(white)(www)99.86color(white)(wwwww) and" " -13.08#
#color(white)(wwww)0.33color(white)(wwwww) and " " -ul45.17#
#color(white)(wwww)ul1.26color(white)(wwwwwwwwww.w) color(red)(-58.25)#
#color(white)(w.w)color(blue)(ul101.45)#

Now combine the positives and the negatives

#" "color(blue)(+101.45#
#" "color(red)(-ul58.25)#
#color(white)(,,,,...)43.2#

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