# How do you simplify 7 + 14 - 3 +5 times 2^3 using PEMDAS?

Feb 28, 2016

$7 + 14 - 3 + 5 \times {2}^{3} = \textcolor{b l u e}{58}$

#### Explanation:

$7 + 14 - 3 + 5 \times {2}^{3}$

First we take care of the exponent.

${2}^{3} = 8$

Carry out the multiplication.

$5 \times 8 = 40$

Now add or subtract from left to right.

$7 + 14 - 3 + 40 = 58$

Feb 28, 2016

#### Explanation:

P- parenthesis

E-exponents

M/D - multiplication / division (from left to right)

A/S - addition / subtraction (from left to right)

In any mathematical expression, the above order must be followed.

Given that,

$7 + 14 - 3 + 5 \times {2}^{3}$

Let
$x = 7 + 14 - 3 + 5 \times {2}^{3}$

(1). There is no parenthesis in above expression.

(2).There is an exponent term in above expression.

$x = 7 + 14 - 3 + 5 \times 8$ [since ${2}^{3} = 8$]

(3).There is a multiplication symbol in between 5 and 8.

$x = 7 + 14 - 3 + 40$

(4)Reduce above expression to single number by adding and subtracting from left to right.

$x = 21 - 3 + 40$

$x = 18 + 40$

$x = 58$