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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
Full Transcript
- 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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