How do you add in base #8# the numbers #6_8#, #54_8#, #134_8# and #752_8# ?

1 Answer
Oct 18, 2017

Answer:

#6_8+54_8+134_8+752_8 = 1170_8#

Explanation:

Write the numbers in a list, right-aligned so we can add up the columns.

#color(white)(000)6#
#color(white)(00)54#
#color(white)(0)134#
#underline(color(white)(0)752)#

In the units column, add #6#, #4#, #4# and #2# to get #20_8# (i.e. #16_10#). So write a #0# in the units column of the sum and carry #2#.

#color(white)(000)6#
#color(white)(00)54#
#color(white)(0)134#
#underline(color(white)(0)752)#
#color(white)(000)0#
#color(white)(00)color(grey)(2)#

In the eights column, add #5#, #3#, #5# and our carry #2# to get #17_8# (i.e. #15_10#). So write a #7# in the eights column of the sum and carry #1#.

#color(white)(000)6#
#color(white)(00)54#
#color(white)(0)134#
#underline(color(white)(0)752)#
#color(white)(00)70#
#color(white)(0)color(grey)(12)#

In the eight-squared column, add #1#, #7# and our carry #1# to get #11_8# (i.e. #9_10#). So write a #1# in the eight-squared column of the sum and carry #1#.

#color(white)(000)6#
#color(white)(00)54#
#color(white)(0)134#
#underline(color(white)(0)752)#
#color(white)(0)170#
#color(grey)(112)#

In the eight-cubed column, we just have our carry #1#, so write that in the eight-cubed column of the sum and stop.

#color(white)(000)6#
#color(white)(00)54#
#color(white)(0)134#
#underline(color(white)(0)752)#
#1170#
#color(grey)(112)#