In Svelte, when you show or hide an element using a boolean, you can add animations called transitions. The 'in' transition runs when the element appears, making it fade or slide in smoothly. The 'out' transition runs when the element disappears, animating it out before removing it from the page. For example, using in:fade and out:fade on a paragraph toggled by a button, the paragraph fades in when visible becomes true and fades out before it is removed when visible becomes false. This keeps the UI feeling smooth and natural. The execution table shows each step: initial hidden state, fade in start and end, fade out start and end, and finally removal from the DOM. This helps beginners see exactly when transitions happen and how the element state changes.