Given the expression
[tex](7-2)\cdot24+34-10[/tex]We must need solve what's inside ( ) first, and 7 - 2 = 5, therefore:
[tex]\begin{gathered} (7-2)\cdot24+34-10 \\ \\ 5\cdot24+34-10 \end{gathered}[/tex]Now we have a multiplication, we must do them before we do the sums and substractions, and 5 x 24 = 120:
[tex]\begin{gathered} 5\cdot24+34-10 \\ \\ 120+34-10 \end{gathered}[/tex]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.
[tex]\begin{gathered} 120+34-10 \\ \\ 154-10 \\ \\ 144 \end{gathered}[/tex]Now we completely simplified the expression, and we can say that
[tex](7-2)\cdot24+34-10=144[/tex]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