Given the expression
![(7-2)\cdot24+34-10](https://img.qammunity.org/2023/formulas/mathematics/college/6vgleg3wzwec0g0r53ryozbbmout8wjs9u.png)
We must need solve what's inside ( ) first, and 7 - 2 = 5, therefore:
![\begin{gathered} (7-2)\cdot24+34-10 \\ \\ 5\cdot24+34-10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/78hqccp7mrj4w6k99f9ita2i7yd2ksbu8z.png)
Now we have a multiplication, we must do them before we do the sums and substractions, and 5 x 24 = 120:
![\begin{gathered} 5\cdot24+34-10 \\ \\ 120+34-10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/o8ntblztllpwh9fgr5a11llkiqj3iijl4l.png)
Now we don't have an order or priority, we can do any of them. I'll do the sum first and then subtract 10 after.
![\begin{gathered} 120+34-10 \\ \\ 154-10 \\ \\ 144 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/q6sawzl5h23jh9uawqflce3kftnlx8cloe.png)
Now we completely simplified the expression, and we can say that
![(7-2)\cdot24+34-10=144](https://img.qammunity.org/2023/formulas/mathematics/college/dz1orawgdoaepb0vguw6lj73h1winr5wn3.png)
The order to solve a numeric expression is:
1 - Solve everything inside ( )
2 - Solve everything inside [ ]
3 - Solve everything inside { }
4 - Divide and Multiply
5 - Add and Subtract