Common mistakes in math
Find here a list of common mistakes in math made by students on a regular basis. Check the list and avoid making them yourself.
Mistake #1:
Incorrect: 4
^{3} = 4 × 3
Correct: 4
^{3} = 4 × 4 × 4
Mistake #2:
Incorrect: 3
^{2} = 3 × 3 = 9
Correct: (3 × 3) = 9
Mistake #3:
Correct:
8
/
0
= No answer!
Mistake #4:
Incorrect: 5 + 15 = 20
Correct: 5 + 15 = 10
Mistake #5:
Incorrect: √(9 + 16) = √9 + √16 = 3 + 4 = 7
Correct: √(9 + 16) = √(25) = 5
Mistake #6:
Incorrect:
x + 8 > 10
x + 8  8 < 10  8
x = 2
Correct:
x + 8 > 10
x + 8  8 > 10  8
x > 2
Mistake #7:
Incorrect: y
^{3} × y
^{2} = y
^{6}
Correct: y
^{3} × y
^{2} = y
^{5}
Mistake #8:
Incorrect: (2y)
^{4} = 2y
^{4}
Correct: (2y)
^{4} = 16y
^{4}
Mistake #9:
Incorrect: 4 × (2z + 5) = 4 × 2z + 5
Correct: 4 × (2z + 5) = 4 × 2z + 4 × 5
Mistake #10:
Incorrect:
x + 10 = 20
x + 10  10 = 20  10
0 = 10
Correct:
x + 10 = 20
x + 10  10 = 20  10
x + 0 = 10
Mistake #11:
Incorrect:
6x + 3
/
6x + 2


Mistake #12:
Incorrect:
x  6 = 18
x  6 + 6 = 18 + 6
0 = 24
Correct:
x  6 = 18
x  6 + 6 = 18 + 6
x + 0 = 24
Mistake #11:
Incorrect:
6x + 3
/
6x + 2


Mistake #12:
Incorrect:
x  6 = 18
x  6 + 6 = 18 + 6
0 = 24
Correct:
x  6 = 18
x  6 + 6 = 18 + 6
x + 0 = 24