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]