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

3 Answers
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

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

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