Six Rational Numbers - Mathematics

by Gagan Bhullar
(Amritsar, Punjab, India.)

When a number that can be expressed as the quotient of two integers (where integer
in the denominator does not equal zero), that number is a rational number.

find six rational numbers between 3 and 4.

Comments for Six Rational Numbers - Mathematics

 Mar 30, 2012 Six Rational Numbers by: Staff Question:by Gagan Bhullar (Amritsar, Punjab, India.) find six rational numbers between 3 and 4.Answer:A RATIONAL NUMBER is a number which can be written as a fraction a/b. Have you ever noticed that the first 5 letters of the word rational spell the word RATIO. We use ratios in everyday life all the time. For example, one person might say a car gets 25 miles per gallon. This is the ratio 25:1, or the fraction 25/1. Another person might say that to mix cookie batter add 1 cup of water for every 3 cups of flour. This is the ratio 1:3, or the fraction 1/3. >>> Many numbers between 3 and 4 are rational numbers.Six examples are: 3.1 = 31/103.2 = 32/103.3 = 33/103.4 = 34/103.5 = 35/103.6 = 36/10Don’t be concerned about a number such as 19/6 (also between 3 and 4). The decimal equivalent of 19/6 is a repeating decimal. 19/6 = 3.16666666…Even though the decimal equivalent of 19/6 is a repeating decimal, it is still a rational number because it can be written at a fraction (a/b). An IRRATIONAL NUMBER, on the other hand cannot be written as a fraction. The decimal value of an irrational number does not have a pattern which repeats itself. An example of an irrational number which is between 3 and 4 is the square root of 11. √11 ≈ 3.316624790355399849114932736670686683927088545589353597058682146116484642609....The numbers do not appear in a pattern which repeats itself, no matter how many decimal places are computed. One way to remember the difference between the decimal equivalent of a rational number and the decimal equivalent of an irrational number is: The decimal equivalent of a rational number will terminate, or have a repeating pattern. The decimal equivalent of an irrational number will never terminate, and it never has a repeating pattern. This is sort of like an irrational person: there is NO PATTERN to their behavior – what they say or do unpredictable.Thanks for writing. Staff www.solving-math-problems.com