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

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

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Answer 1 · 2017-12-03T03:21:59

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

$2^{2} \cdot 3 (10^{2} + 3 - 1)$ $2^2 * 3(10^2+3-1)$

$2^{2} \cdot 3 (100 + 3 - 1)$ $2^2 * 3( 100+3-1)$

$2^{2} \cdot 3 (102)$ $2^2*3(102)$

$2^{2} \cdot 306$ $2^2*306$

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

$4 \cdot 306$ $4 *306$

$= 1224$ $=1224$

Answer 2 · 2017-12-03T07:11:13

$1224$ $1224$

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.

$2^{2} \times 3 (10^{2} + 3 - 1)$ $" "color(blue)(2^2) xx3(color(blue)(10^2)+3-1)$
$↓ \times x ↓$ $" "darrcolor(white)(xxx)darr$
$= 4 \times 3 (100 + 3 - 1)$ $=color(blue)(4) xx3(color(blue)(100)+3-1)$

$= 4 \times 3 (100 + 3 - 1)$ $=color(red)(4 xx3)(color(forestgreen)(100+3-1))$
$↓ \times \times x ↓$ $" "color(red)(darr)color(white)(xxxxx)color(forestgreen)(darr)$
$= 12 \times (102)$ $=""color(red)(12)xx" "(color(forestgreen)(102))$

$= 1224$ $=1224$

Answer 3 · 2017-12-03T08:09:15

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

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

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