How do you evaluate #2^ { 2} \times 3( 10^ { 2} + 3- 1) #?

3 Answers
Victor · EZ as pi
Dec 3, 2017

1224

Explanation:

You want to follow BEDMAS (Bracket, exponent, division, multiplication, addition, subtraction)

From BEDMAS, we start by dealing with the numbers in the bracket

# 2^2 * 3(10^2+3-1) #

#2^2 * 3( 100+3-1)#

# 2^2*3(102)#

#2^2*306#

Now let's deal with the exponents so we can multiply the numbers together

#4 *306 #

#=1224#

EZ as pi
Dec 3, 2017

#1224#

Explanation:

This is all one term, but there are several operations and they have to be done in the correct order. However, we can do more than one operation at a time.

Before you can calculate an answer for the bracket, there is a power to be simplified inside the bracket.

#" "color(blue)(2^2) xx3(color(blue)(10^2)+3-1)#
#" "darrcolor(white)(xxx)darr#
#=color(blue)(4) xx3(color(blue)(100)+3-1)#

#=color(red)(4 xx3)(color(forestgreen)(100+3-1))#
#" "color(red)(darr)color(white)(xxxxx)color(forestgreen)(darr)#
#=""color(red)(12)xx" "(color(forestgreen)(102))#

#=1224#

Kushagra
Dec 3, 2017

Expand squares
#2^2xx3(10^2+3-1)#
#darrcolor(white)(dddd)darr#
#4xx3(100+3-1)#
Multiply and add
#4xx3(100+3-1)#
#color(white)(d)darr color(white)(dddiii)darr#
#12color(white)(Ddddi)(103-1)#
Subrtract
#12(102)#
#102# can be written as #100+2#
#12(100+2)#
Expand
#12xx100+12xx2#
Easy peasy lemon squeezy
#1200+24#
You get
#1224#

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