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Advanced Math/learning to read a ruler


Hi, what's is the easiest way to read a ruler?

Between inches, know each mark is half of the interval it is in.
That is, between two digits, the big mark in the middle is 1/2 inch from the mark below.

The next smaller mark between the inch mark and the 1/2 inch mark is the 1/4 mark.
If it is between the inch mark and the 1/2 inch mark, it is 1/4 more than the inch.
If it is between the 1/2 mark and the next inch mark, it is 1/2 + 1/4 = 2/4 + 1/4 = 3/4.

The next smaller mark is the 1/8 of an inch.  What ever two bigger marks it is between,
it adds an 1/8 of an inch to the one that is less.

Some rulers have the next smaller mark, which is 1/16 of an inch above the next bigger mark below.  I'm not sure if they exist, but if there was a ruler that had an even smaller mark,
it would be 1/32 of an inch above the mark right below.

This is done because in the USA, rulers are marked up so each smaller mark is
1/2 of the next larger mark.  See, 1/4 is 1/2 of 1/2, 1/8 is 1/2 of 1/14,
1/16 is 1/2 of 1/8, 1/32 is 1/2 of 1/16.

The only way to get really good at reading them is to keep doing it.
After doing it for quite a while, I recognize every 1/8 of an inch as 0.125 inches.

So 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 is really
0.125, 0.250, 0.375, 0.500, 0.625, 0.750, 0.975, and 1.000.

These can be rewritten as 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 1 and
0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, and 1.

In metric, everything is 1/10 of the next bigger size.  A decimeter is 1/10 of a meter, a centimeter is 1/10 of a decimeter, a millimeter is 1/10 of a centimeter.  That seems to make more sense especially since the same thing applies to weight.

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Scott A Wilson


I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math. I can also say that I broke 5 minutes for a mile, which is over 12 mph, but is that relevant?


Experience in the area; I have tutored people in the above areas of mathematics for over two years in I have tutored people here and there in mathematics since before I received a BS degree back in 1984. In just two more years, I received an MS degree as well, but more on that later. I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman. I tutored at Mathnasium for well over a year. I worked at The Boeing Company for over 5 years. I received an MS degreee in Mathematics from Oregon State Univeristy. The classes I took were over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors in both my BS and MS degrees. Past/Present Clients: College Students at Oregon State University, various math people since college, over 7,500 people on the PC from the US and rest the world.

My master's paper was published in the OSU journal. The subject of it was Numerical Analysis used in shock waves and rarefaction fans. It dealt with discontinuities that arose over time. They were solved using the Leap Frog method. That method was used and improvements of it were shown. The improvements were by Enquist-Osher, Godunov, and Lax-Wendroff.

Master of Science at OSU with high honors in mathematics. Bachelor of Science at OSU with high honors in mathematical sciences. This degree involved mathematics, statistics, and computer science. I also took sophmore level physics and chemistry while I was attending college. On the side I took raquetball, but that's still not relevant.

Awards and Honors
I earned high honors in both my BS degree and MS degree from Oregon State. I was in near the top in most of my classes. In several classes in mathematics, I was first. In a class of over 100 students, I was always one of the first ones to complete the test. I graduated with well over 50 credits in upper division mathematics.

Past/Present Clients
My clients have been students at OSU, people who live nearby, friends with math questions, and several people every day on the PC. I would guess that you are probably going to be one more.

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