In a paragraph explain what the order of operations are, why they are important, and what would happen if we did not use them. You may use mathematical equations to support your explanation.

You mean BODMAS,

BODMAS means Brackets Order/Of Division Multiplication Addition Subtraction.

As the names given respectively, frist we need to start with the brackets, then order/of after that division and then multiplication, then addition and lastly subtraction.

Let's see with an example :

4(2+3)+3²×1-10

= 8+12+3²×1-10

= 8+12+9×1-10

= 8+12+9-10

= 20+9-10

= 29-10

= 19

By seeing the example, we can get BODMAS very easily.