Hello There!
Question:-
2 + (4 × 2) – (16 ÷ 2)
We need to simplify the arithmetic expression.
Solution:-
The arithmetic expression given may be rewritten as :-
![\sf \: 2 + (4 \: * \: 2) - \bigg( (16)/(2) \bigg)](https://img.qammunity.org/2022/formulas/mathematics/high-school/yt7mtrlx5jov8eoeifedyrz8r32sey5d0m.png)
Firstly , Solve For Multiplication :-
![\sf \longmapsto \: 2 + 8 - (16)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/x7952y5skio0huudbx4bcqdyy8xr5ip8me.png)
Secondly, Solve for Addition:-
![\sf \longmapsto \: 10 - (16)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/k7ht83gwlit4eojwk7vt98sze5l26e34dh.png)
Simplify the Fraction:-
![\sf \longmapsto \: (10)/(1) - (16)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/qfd45yk6v070qj1855bay6b50o0lbhsoos.png)
On Simplification:-
![\sf \longmapsto \: (10(2) - 16)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/xg5cbuh23evfngoguini8jelmjnzmo3zos.png)
![\sf \longmapsto \: (20 - 16)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/rjszvqtv5ec56ok9trsusnqhpfcks5ol7v.png)
![\sf \longmapsto \: \cancel(4)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/1ow76vyrlp6qjo8fy9r0y5byznqiie7k7o.png)
![\sf \longmapsto \: 2](https://img.qammunity.org/2022/formulas/physics/high-school/975rrxvi12lyn9nn5043xedbwopa7x3t3z.png)
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Henceforth,The simplified form of the arithmetic expression is :-
![\boxed{ \boxed{\huge\bf \: 2}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/koo36d9iipcz7k8ikkzjomt6nrbnpa8ch6.png)
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Please let me know if you have any further questions.
~MisterBrian