Track / Stage 4 / 238 of 340 #498 of 1964

Problem 498

AMC 12 late, AIME early

Algebra Difficulty 4.8 Find the answer

What is the difference between the greatest and the least of the following five quantities?
$20+20 \quad 20 \times 20 \quad 202+0 \quad\left(2^{0}\right)^{\left(2^{0}\right)} \quad 20+2+0$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

SolUtion
399

The five quantities are $40,400,202,1^{1}=1$ and 22 .
The difference between the greatest and least of these is $400-1=399$ .

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.