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Results tagged with algebra
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user 13585
Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
9
votes
Best way to explain the thinking steps from x² = 9 to x=±3
If you think of this as an algebra step, it would be taking the square root of both sides. But you would want to keep both the answers, 3 and -3. …
- 1,940
15
votes
How should I convince a student who thinks they proved $1=-1$
Should we impose that $(a^m)^n=a^{mn}$ only when $a \gt 0$?
Maybe you should tell your student that he/she have discovered by himself/herself the proof that the rule $(a^m)^n=a^{mn}$ cannot be true wi …
- 1,940
0
votes
Good ways to help students overcome the mistake that $ 2a - 3b + 7a + 4b = -5a + 7b$
How about take out the common factor?
$$\begin{aligned}2a - 3b + 7a + 4b
&=(???)a+(???)b\\
&=(2+7)a+(-3+4)b\\
&=9a+b\\
\end{aligned}$$
Then you explain that to find out $???$ they must take the number …
- 1,940