Mathematics is indeed a universal language. Even errors are universal. Here are the top ten errors in algebra which are beyond borders and colors.
#10. Squaring the negative. A minus a squared unless it’s been snared:
#09. Logarithms: The log of the sum ain’t the sum of the log:
#08. Shifting function: Add to y go high, add to x go west:
#07. Inequality: Multiplying the inequality by a negative flips the inequality:
#06. On exponents: When in doubt, write it out:
#05. Fractional exponent: Don’t flip over the root.
#04. Subtraction: Don’t forget to share the minus and the negativity.
#03. Cancellation: Cancel factors, not individual terms.
#02. Quadratics: Remember exponents 2, answers 2.
#01. Squaring: Don’t forget to FOIL. .
Here is a funny video of common algebra mistakes listed above:
Here is one comment from YouTube viewer:
For all the idiots who say #10 and #2 contradict themselves are completely wrong.#10:-8^2 IS NOT (-8)^2. Without the parenthesis, -8^2 = (-1)(8)(8), which equals -64. Do you guys see it now? (-8)^2 = (-8)(-8) = 64, which is 100% correct. I see where you guys are coming from, but thats why its a top 10 mistake.#2:5*5 = 25, -5 * -5 = 25. What’s wrong? How does this contradict #10?
Do you agree? How would you explain to students that when they know that is the negative number 8?