### Another puzzle

Those who enjoyed solving 100 pirates will want to take a look at the 2 Numbers puzzle, on Naught Much. Other people's solutions are in the comments, so be sure not to cheat!

Elias.

Elias.

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Those who enjoyed solving 100 pirates will want to take a look at the 2 Numbers puzzle, on Naught Much. Other people's solutions are in the comments, so be sure not to cheat!

Elias.

Elias.

We have just returned from a day in Baalbek. Internet access is down, so I am writing this to debrief myself. I have always wanted to go to Baalbek as it is an iconic place in Lebanon. I didn't know much about what was there, except for the fact that I would find a well preserved Roman temple. It was a very Lebanese experience! The army had come in and shut down the whole place in preparation for a visit to the Baalbek festival by the President, the Prime Minister and several other dignitaries. We found ourselves pleading our case with those in charge. We then gained the concession of being allowed to join a group of French tourists who were being looked after by a well-connected guide. The guide was very knowledgeable. He conducted the tour entirely in French. The temples I learned that the first temple was built by the Phoenecians. It was dedicated to Baal. Bek came from the name of the location, the Bekaa valley. The Romans then transformed it into the largest temple dedicated

Knowing that I teach year seven mathematics, people often ask me my opinion on whether kids should learn their times tables (or multiplication tables if you prefer). In this post, I argue that times tables should be learned at some stage of the child's education, but only as part of many ideas related to multiplication. (c) Can Stock Photo Firstly, multiplication tables should not be learned too early. My kids' primary school holds off till kids reach grade 3. A kid who "knows the answer" to 3x8 will not feel the need to group objects in threes or in eights and will miss discovering a few things about multiplication:

## Comments

v good

what about this?

using algebra to prove that

1= 0

Let x = y. (x,y are nonzero)

Then x2 = xy.

Subtract the same thing from both sides:

x2 - y2 = xy - y2.

Dividing by (x-y), obtain

x + y = y.

Since x = y, we see that

2y = y.

Thus 2 = 1, since we started with y nonzero.

Subtracting 1 from both sides,

1 = 0.

what is wrong with this theory?

If x = y, then x - y = 0

You cannot divide by (x - y) since you cannot divide by 0.