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Lesson 1: Absolute value

Interpreting absolute value as distance

In this video, we work through a bunch of examples that stretch our thinking on absolute value.

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• What if the absolute value was 0
• The absolute value is the distance from zero. If the absolute value of a number is zero, that number itself is also zero.
• help! I don't get anything of this absolute value part . its very frustrating :(
• I'm not sure what don't you understand, but absolute value is simply THE DISTANCE FROM THE NUMBER TO 0. For example, if you imagine two numbers on a number line: -4 to 0. That would be four blocks away right? Which means, the absolute value of -4 is 4. If you have any other questions you can reply to this. I will be checking them :)
• "this is a lot of fun"

me : 😭😂🥲
• is everyone here bots?? lol i cant tell if its set up or not..
• We aint bots.
• Almost 11 minutes 💀 💀 💀 💀 💀.
• this is confusing
• This is 11 minutes long... WHY!!
• Once upon a time, in a quaint little neighborhood nestled between rolling hills and lush green meadows, there lived two inseparable companions named Lincoln and Charlie. Lincoln was a spirited beagle with expressive brown eyes that sparkled with curiosity, while Charlie was a charming pug with a wrinkled face that hid a heart full of adventure.

Their friendship was as legendary as the tales told around the neighborhood. From the moment they met, Lincoln and Charlie were bound by an unbreakable bond. They did everything together, from chasing butterflies in the park to napping under the warm afternoon sun.

One sunny morning, the two friends woke up to find a note stuck to their front door. It was an invitation to the Annual Pet Parade, a grand event where pets and their owners would dress up and march through the town in a colorful procession. Excitement bubbled in their hearts as they imagined the endless possibilities of costumes they could choose.

Lincoln, with his love for history and all things patriotic, decided to dress up as Abraham Lincoln, complete with a tiny stovepipe hat and a miniature beard. He would be a beagle of distinction.

Charlie, on the other hand, was known for his sense of humor and bubbly personality. He chose to be the clown of the parade, donning a brightly colored polka-dotted outfit, oversized shoes, and a red rubber nose that made everyone laugh.

In the days leading up to the parade, they spent hours rehearsing their routine. Lincoln would solemnly march with a miniature American flag in his mouth while Charlie tumbled and somersaulted around him. The whole neighborhood would gather to watch, and the laughter and applause echoed through the streets.

As the big day approached, Lincoln and Charlie's excitement reached a fever pitch. They couldn't wait to showcase their unique talents to the world. They even practiced their parade routine in front of the neighborhood cats and birds, who watched in amazement and, for once, didn't seem to mind the noisy duo.

Finally, the day of the Annual Pet Parade arrived. The sun shone brightly, and a gentle breeze carried the sweet scent of blooming flowers. Lincoln and Charlie, dressed in their costumes, proudly led the parade. The townsfolk cheered, clapped, and tossed treats to their beloved beagle and pug.

Lincoln marched with grace and pride, holding his flag high, while Charlie tumbled and cartwheeled, causing peals of laughter from the crowd. It seemed as if the whole world had come together to celebrate the joy of their friendship.

After the parade, Lincoln and Charlie were awarded the "Most Entertaining Duo" prize, and they beamed with pride as they received their trophy. But, in their hearts, they knew that the real prize was the love and friendship they shared.

As the sun began to set on that memorable day, Lincoln and Charlie returned home, tired but content. They curled up together on their favorite rug, sharing stories of their grand adventure. Their hearts were full, knowing that they were more than just pets; they were a symbol of the unbreakable bond between friends.

And so, in that charming little neighborhood, Lincoln the beagle and Charlie the pug continued their journey through life, knowing that as long as they had each other, they could conquer any adventure that lay ahead.
• Help! Is the equation |a-b|=|a|-|b| true all the time or just only for this special case?

at , sal agreed that |a-b| is the same thing as |a|-|b|
also in a previous video sal said |a-b| = |b-a|

so, it seems like we can say |b-a| = |b|-|a|.
if this is logical then why the following equation is not true:
let's imagine a=-9 and b=-2
|a|-|b|=|b|-|a|
⇒ |-9|-|-2| = |-2|-|-9|
⇒ 9-2 = 2-9
⇒ 7 ≠ -7