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ACT Aspire Math: Understanding Positive and Negative Numbers 0 Views


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Description:

What is the sum of all whole numbers from -100 to 105?


Transcript

00:03

Okay Ct aspiring math people never question for here ago

00:06

What is the sum of all whole Numbers from negative

00:09

1002 one hundred five All right so this problem just

00:15

asked us to add up negative one hundred and plus

00:18

negative ninety nine and then plus negative ninety eight all

00:21

the way through one o five were just totally kidding

00:23

No test is that cruel way Think problems that initially

00:27

seem like they're asking us to perform ridiculous volumes of

00:31

calculations will usually feature oppa pattern And this one is

00:34

no different Well to find the pattern here imagine that

00:37

we're on ly adding all the images from negative three

00:40

to three Well then that gets us you know negative

00:42

Three plus give two plus negative one and zero one

00:45

and two and three all that equal zero So interesting

00:49

While all the negative numbers yeah they cancel their positive

00:52

counterparts while zero is left Just chilling in the middle

00:55

So just apply this pattern All the Numbers from negative

00:58

102 positive one o five And well we can just

01:02

kind of cross out from negative hundred deposit of one

01:04

hundred and that gets us these last few numbers here

01:07

So if you had him all up well they add

01:09

up to five Fifteen So the answer here it's

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