# Was my math teacher right?

1. May 6, 2015

### DaveDem

In math class my teacher said that if you take any base or A and square it that the answer is howmany times two goes into the base multiplied by the base times 2, does this always work?

2. May 6, 2015

### Staff: Mentor

Can you give a couple of examples in different bases?

3. May 6, 2015

### DaveDem

16 squared
16/2=8 16*2=32
32*8=256

4. May 6, 2015

### DaveDem

500 squared
500/2=250 500*2=1000
250*1000=250000

5. May 6, 2015

### DaveDem

13 squared
13/2=6.5 13*2=26
6.5*26=169

6. May 6, 2015

### Staff: Mentor

Have you tried it with other nunbers like 3, 5 or 7?

7x7=49

7/2=3.5

7*2=14

3.5 x 14 = 49

Like that?

7. May 6, 2015

### Staff: Mentor

Okay so basically you are dividing by two and then multiplying by two so the operations cancel out right?

8. May 6, 2015

### DaveDem

yes exactly! i kinda came up with it but said it was my math teacher cause of the whole "if it doesnt come from someone with proof of knowlege we dont want to hear it" thing

9. May 6, 2015

### Staff: Mentor

Okay so you understand how it works now?

10. May 6, 2015

### Staff: Mentor

Many of these math tricks work in a similar way by trying to hide the fact that you are multiplying by a factor early and then cancelling it out by dividing later on using valid math operations throughout the process.

11. May 6, 2015

### Staff: Mentor

For example in your case you could say to add the number to itself instead of using times two to hide that fact and people may be fooled at first.

12. May 6, 2015

### Staff: Mentor

13. May 6, 2015

### Staff: Mentor

Theres no need to preface questions with my math teacher said unless they really said it. Its best to be honest rather than impune the integrity of your teacher for the sake of an answer.