Order of Operations

Simplify$5^3-(4\times 2)$

Let's work through each step to solve the expression;

1. P :$4\times 2=8$
2. E :$5^3=125$
3. M/D : This step is not needed in this sum.
4. A/S :$125-8=117$

Therefore, $5^3-(4\times 2)=117$

Simplify $3\times 4+7^2$

Let's work through each step to solve the expression;

1. P : This step is not needed in this problem.
2. E :$7^2=49$
3. M/D :$3\times 4=12$
4. A/S :$12+49=61$

Therefore, $3\times 4+7^2=61$

Evaluate$4-x^2\times 3$ when $x=6$

First you can substitute 6 into the expression, then you can follow PEMDAS;

1. P : This step is not needed in this problem.
2. E :$6^2=36$
3. M/D :$36\times 3=108$
4. A/S :$4-108=-104$

Therefore when $x=6$, $4-x^2\times 3=-104$

Evaluate $x^3-y\times (x+x)$ when $x=6$ and $y=3$

To begin with, you can substitute in your variables to see the expression, then you can continue to solve it using PEMDAS;

$x^3-y\times (x+x)$

$6^3-3\times (6+6)$

1. P :$(6+6)=12$
2. E :$6^3=216$
3. M/D :$3\times 12=36$
4. A/S :$216-36=180$

Therefore, when $x=6$ and $y=3$, $x^3-y\times (x+x)=180$

Evaluate $x+4\times \frac{1}{2}$ when $x=12$

To begin with, you can substitute in your variable to see the expression, then you can continue to solve it using PEMDAS;

$12+4\times \frac{1}{2}$

1. P : This step is not needed in this problem.
2. E : This step is not needed in this problem.
3. M/D : $4\times \frac{1}{2}=2$
4. A/S : $12+2=14$

Therefore, when $x=12$, $x+4\times \frac{1}{2}=14$

Evaluate $5^2+12\times \{3+x\}$ when $x=2$

To begin with, you can substitute in your variable to see the expression, then you can continue to solve it using PEMDAS;

$5^2+12\times \{3+2\}$

1. P : $3+2=5$
2. E : $5^2=25$
3. M/D : $12\times 5=60$
4. A/S : $25+60=85$