Section 6.5E: Exercises - Mathematics
Getting a Perfect Square Did you know that by adding number 1 to the multiplication of four consecutive numbers you get a perfect square? Example: 1 * 2 * 3 * 4 + 1 = 25 * Curiosity submitted by user Isaac Farias. The Number PHI Table of Contents Next >> Number Two and the Sayings
The square of a number is one of the integers of the series 1, 4, 9, 16, 25, etc. It is not difficult to verify the relationship between consecutive members of this series. We find that if we add the square of x, twice more x plus 1, the next successive square is obtained. For example, 5 2 + 2.5 + 1 = 25 + 10 + 1 = 36 = 6 2 If we know the value of a given number squared, the next number is easily obtained.
In several European languages, the word "night" resembles the letter "n" with the number 8. See some examples: Portuguese: night = n + eight English: night = n + eight German: nacht = n + acht Spanish: noche = n + ocho French: nuit = n + huit Italian: notte = n + otto The Easter that happened earlier Index Next >> Numeric characters
Western mathematical tradition has long attributed the discovery of this theorem to Pythagoras. More recent historical research has found that the theorem was known to the Babylonians, circa 1500 BC, so long before Pythagoras. The Chinese knew him perhaps around 1100 a.
6 number betting In Mega-Sena six distinct numbers are drawn from 1 to 60. Since no matter the order in which these numbers are drawn, the total amount of possible outcomes is calculated by a combination of 60 elements taken 6 See below how this step-by-step calculation is done, which can be done instantly with our mathematical simulator.
A pentagram is a star made up of five straight lines that has five points. We can see it as a star made by joining the points of a regular pentagon. In the Portuguese language, pentagram means a word with five letters. Forming the Nine Times Table Index Next >> When Does a Century Begin?
Set A = 100, B = 101, C = 102, and so on to Z = 125. Now add the numbers for the name HITLER. H 107 I 108 T 119 L 111 E 104 R 117 107 + 108 + 119 + 111 + 104 + 117 = 666 According to Christian tradition, the number 666 corresponds to the sign of the Beast. Tragic death of some mathematicians Index Next >> Mathematics and earthquakes in Japan
It is natural to suspect that the arithmetic triangle is not a Pascal invention. The name of this triangle varies greatly throughout the world. The French call it Pascal's triangle. The Chinese call it the Yang Hui Triangle. Italians call it the Tarataglia triangle. We find other denominations, such as Tartaglia-Pascal triangle or simply arithmetic triangle or combinatorial triangle.
Choose a three-digit number: Ex: 234 Repeat this number in front of it: 234234 Now divide by 13: 234234/13 = 18018 Now divide the result by 11: 18018/11 = 1638 Divide the result again, only now by 7: 1638/7 = 234 The result is equal to the three digit number you had chosen: 234.
What is firmer? A 3 foot chair or a 4 foot chair? Have you noticed that a 4-foot chair often goes awry? This does not happen with a 3 foot chair, which will always be firmer. This is because three unaligned points will always determine a plane. When we have a chair with 4 feet, we have four points that can determine up to four planes.
The volume of the earth is approximately 1 sextillion cubic meters. To observe the movement of the earth, scientists create computer systems that analyze the earth by dividing it into cubes. In this case, taking cubes of 1 kilometer edge, the system should analyze 1 trillion cubes. Because of this immensity of mathematical calculations, earthquake prediction is difficult.
The deficient numbers were introduced by Nicomachus in the Introductio Arithmetica. They are those whose sum of their own dividers is less than this number. For example, 14 is a poor number because: 14> 1 + 2 + 7 = 10 Why are antennas satellite dishes? Index Next >> The Two Inverse Operations of Potentiation
How much should the jeweler pay? Difficulty level: A jeweler and the innkeeper argue. The jeweler promised to pay the owner of the inn $ 20.00 for the accommodation if he sold the jewelry for $ 100.00 and would pay $ 35.00 if selling the jewelry for $ 200.00. Knowing that the jeweler ended up selling everything for $ 140.00, how much should he pay the innkeeper?