Question #0d11d

1 Answer
Feb 14, 2018

#0.0998#

Explanation:

The problem is the decimal in the divisor. #1 div 10color(blue).02#

Always divide by a whole number.

Write is as a fraction and get rid of the 2 decimal places by multiplying the top and bottom by #100#

#1/10.02 xx100/100 = 100/1002#

Now use long division for #100 div 1002#

#color(white)(xxxxxx)0.0998#
#1002 |bar(100.000000)larr" start with " 10000div 1002 #
#color(white)(xx,xxx)ul9018#
#color(white)(xx.xxxx)9820" "larr9820div 1002#
#color(white)(xx,xxxx)ul9018#
#color(white)(xx,xxxxx)8020" "larr 8020 div1002#
#color(white)(xx,xxxxx)ul8016#
#color(white)(xx,xxxxx..x)4#