Maths Olympiad Prep

Track / Stage 4 / 54 of 340 #314 of 1964

Problem 314

AMC 12 late, AIME early
Algebra Difficulty 4.6 Find the answer

31. Calculate: (1)4+(2)3+(3)2+(4)1=(-1)^{4}+(-2)^{3}+(-3)^{2}+(-4)^{1}=

A number or a short expression. Spacing, $ signs and \frac vs / are all fine.

Official solution

Answer: -2.
Solution: Original expression =18+94=2=1-8+9-4=-2.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.