Respuesta :

Recall that the order of the operations PEMDAS

1. Parenthesis

2. Exponents.

3. Multiplication.

4. Division.

5. Addition.

6. Subtraction.

1. Given expression is

[tex]8-6\div2+3\times5[/tex]

Multiply 3 and 5, we get

[tex]8-6\div2+3\times5=8-6\div2+15[/tex]

Divide 6 by 2, we get

[tex]=8-3+15[/tex]

Subtract 3 from 8, we get

[tex]=5+15[/tex]

Add 5 and 15, we get

[tex]=20[/tex]

The answer is

[tex]8-6\div2+3\times5=20[/tex]

2.Given expression is

[tex]7\times3-15\div5[/tex]

Multiply 7 and 3, we get

[tex]7\times3-15\div5=21-15\div5[/tex]

Divide 15 by 5, we get

[tex]=21-3[/tex]

Subtract 3 from 21, we get

[tex]=18[/tex]

The answer is

[tex]7\times3-15\div5=18[/tex]

3. Given expression is

[tex]8+2(1+12\div2)^2[/tex]

First, we need to solve inside the parenthesis, divide 12 by 2, we get

[tex]8+2(1+12\div2)^2=8+2(1+6)^2[/tex]

Add 1 and 6, we get

[tex]=8+2(7)^2[/tex]

Solve exponent.

[tex]=8+2(49)[/tex]

Multiply 2 and 49, we get

[tex]=8+98[/tex]

Add 8 and 98, we get

[tex]=106[/tex]

The answer is

[tex]8+2(1+12\div2)^2=106[/tex]