2020 AMC 10B Problem 1

Below is the professionally curated solution for Problem 1 of the 2020 AMC 10B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 10B solutions, or check the answer key.

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Concepts:whole number operations

Difficulty rating: 450

What is the value of $1 - (-2) - 3 - (-4) - 5 - (-6)?$

$-20$

$-3$

$3$

$5$

$21$

Solution:

Subtracting a negative is the same as adding the corresponding positive number, so $1-(-2)-3-(-4)-5-(-6)=1+2-3+4-5+6.$ Now combine the terms: $(1+2+4+6)-(3+5)=13-8=5.$

Thus, D is the correct answer.

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