How do you evaluate #45\div [ ( 10- 2) \times 2- 11]#?

3 Answers
olivia · EZ as pi
Mar 9, 2018

#9#

Explanation:

#10 - 2 = 8#

#8 xx 2 = 16#

#16 - 11 = 5#

Then .. #45 / 5 = 9#

David Drayer
Mar 9, 2018

Use the order of operation to find the value of the expression

Explanation:

PEMDAS
remember it this way "if you get hurt in (PE call an Medical Doctor, As Soon as possible)

PE is one class so do exponents and parenthesis at the same time.

MD is one person so do Multiplication and Division at one time working from left to right.

ASap is one time so do Addition and Subtraction together working from left to right

Start with the intermost parenthesis

#45 / {(10-2) xx 2 -11} = 45/( 8 xx 2 -11)#

Next do the multiplication with the parenthesis

# 45/( 8 xx 2 -11) = 45/(16 -11)#

Next do the subtraction within the parenthesis

# 45/(16-11) = 45/5#

Next do the final division problem

# 45/5 = 9 #

EZ as pi
Mar 9, 2018

#9#

Explanation:

Work from the inner bracket outwards.

#" " 45 div[color(blue)((10-2))xx2-11]#
#color(white)(xxxxxx.x)darr#
#= 45 div" "[color(red)(8xx2)-11]#
#color(white)(xxxxx.xx.x)darr#
#= 45 div" "[color(green)(16-11)]#
#color(white)(xxxxxxx.xx)darr#
#=45" " divcolor(white)(.xx)5#

#=" "9#

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