**part of one object**. Perhaps you have a fifty percent or a quarter. These worths are in between the whole values. So, as soon as you look in ~ a number line, almost every one of the feasible values are taken into consideration rational numbers. It"s not just about the points where you uncover integers.Rational Numbers: 1, 2, 500, -250, -36, 1/2, 1/3, -1/4, 2 2/3, -150 5/13

You are watching: Is -5 a rational number

Rational numbers encompass natural numbers, whole numbers, and integers. They have the right to all be created as

**fractions**. Sixteen is natural, whole, and an integer. Because it can likewise be created as the proportion 16:1 or the fraction 16/1, that is also a reasonable number.It"s simple to look in ~ a portion and speak it"s a rational number, but math has actually its rules. The term rational number is based on the idea that

**ratios**(1:2). Together you are starting to learn, ratios can additionally be written as fountain (1/2). Look in ~ the

**decimal**0.5. Girlfriend can acquire 0.5 v the division problem 1 split by 2 (1 ÷ 2). Another way to write that department problem is 1/2. Since the 0.5 deserve to be

**expressed**(written as) as the fraction 1/2, 0.5 is a reasonable number. That 0.5 is likewise called a

**terminating decimal**.What around the decimal 0.66 . This is a

**repeating decima**l that will never ever end. It"s just sixes forever. Is the a rational number? Yes. Girlfriend can acquire the value with the division problem 2 split by 3 (2 ÷ 3). Another way to write that division problem is 2/3. Since the 0.66 can be expressed together the fraction 2/3, it is a reasonable number.

0.66666666666666666666666666666...3 ) 2.00000000000000000000000000000...- 18 20 - 18 20 - 18 20 - 18 20 - 18 20 This will simply go ~ above forever. |

**One much more time:**• two Integers: 5, 12• Two possible rational numbers: 5/12 and also 12/5In department terms: • Five split by twelve. • Twelve divided by five.Both of these numbers space rational since they are found in between the integer worths on the number line.5 ÷ 12 = 0.4166 (found on the number line in between the integers 0 and also 1)12 ÷ 5 = 2r2 = 2.4 (found ~ above the number line between the integers 2 and also 3)A quick note. Sometimes you gain a repeating decimal when you divide two integers. You could see one third written together 0.3. The line above the three is referred to as a

**vinculum**. In math, it means the numbers keep repeating that method forever. Try to execute the department yourself. 1÷3 offers you a never-ending solution. That"s why mathematicians usage the bar over the numbers. Friend don"t must remember the surname of the bar, just remember the the bar means, "This number repeats forever."

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Useful reference Materials

**Wikipedia:**

*https://en.wikipedia.org/wiki/Fraction_%28mathematics%29*

**Encyclopædia Britannica:**

*http://www.britannica.com/topic/fraction*

**University of Delaware:**

*https://sites.google.com/a/udel.edu/fractions/*

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