Factorial, Vectors, Scalars And The Mobius Strip
Factorial
How many different five digit numbers can be formed from the digits 1, 2, 3, 4 and 5? The first position in the number may be occupied by any one of the five digits, i.e. there are five possibilities for the first digit of the number. When this position has been filled, only four possibilities remain for the second possition. For the third position, only three possibilities remain, for the fourth only two, and for the selesai position there is no choose. Hence the total of different numbers that can be formed from the five digits is 5 x 4 x 3 x 2 x 1 = 120.
In general, for n different digits, the total number of possible arrangements is n x (n-1) x ... x 3 x 2 x 1. Such products occur frequently in mathematics and are denoted by n! , which is read as n factorial.
Vectors and Scalars
Listen to the passage and write down the word or phrase in each of the following pairs which occurs in the passage : the second quantity/ a second quantity, both/boat, express/expressed, cylindrical/cylinder, 40/30, both these/both of these, location/locating, consist/consists.
Divide the following quantities into vector or scalar quantities: speed, mass, displacement, weight, force, acceleration, velocity, distance, volume, temperature, momentum, power.
Say the whether the following statements are true or false.
The Mobius Strip
The Mobius Strip is a construction which has some very strange properties. It is named after Mobius (1790-1868). Who first wrote about it in 1865 in a book called Uber die Bertimmung des Inhates eines Polyeders.
Sumber : English For Teaching Mathemaics and Science by Dr. Hamzah Upu, M.Ed.
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