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Posts tagged with irrational numbers

Why don’t tape measures show √2?

March3

Your boss asks you to cut a length of wood exactly to √2. So, you get out your tape measure and ….what? There is NO √2! There should be though? After all, √2 is an exact length!! It was worked out on a calculator so you should be able to measure it? Why don’t rulers […]

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Pi Day Revisited

December1

Yes, today is NOT Pi Day – well, not officially. After all, every day is Pi Day since every day Pi is being used to solve both simple and complex problems, many times without anyone realizing it. Yes, Pi might just have to be the most exciting irrational number on the planet! What do we mean […]

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Irrational Numbers are the never-stay-still numbers!

June24

Yes, irrational numbers are encountered in junior high school. These are like those friends of yours who never stay still in one place. Our mathematical definition is that irrational numbers have decimal expansions that keep on going. They are not rational numbers that can be shown as a simple fraction (one integer divided by another […]

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Relationships – the facebook of numbers

February22

Yes, it’s true – numbers behave much like people. For example, one group of numbers is even and another group odd (you may recognise the odd ones at a party); other numbers are very much alone – we call these the Prime Numbers (more on them in another blog). The Prime Numbers are the ones […]

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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