(1) \( 46 \pi+(-72 \pi) \)

When you combine \(46 \pi\) and \(-72 \pi\), you can think of it like mixing two types of pizza. One is extra cheesy (46 slices) and the other is super spicy but in the negative (you owe 72 slices!). So, when you combine them, it's like having a debt of 26 slices but it's all about the pie! This simplifies to \(-26 \pi\). Now, if you want to visualize this mathematically, you can represent it on a number line where positive values show what you own and negative values show your debts. This way, you can see how the two quantities balance out, giving a clearer picture of how combining these amounts affect your total. Plus, it makes math a bit more relatable!