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Everything You Need to Know about Rational Numbers between 2 and 7
What are Rational Numbers?
Rational numbers are numbers that can be expressed as a ratio of two integers. They are also known as fractional numbers because they can be expressed as fractions. The term “rational” comes from the Latin word “ratio” which means “to calculate”. Rational numbers include all whole numbers, integers, and fractions.
What is the Range of Rational Numbers?
The range of rational numbers is infinite because they can be expressed as fractions with infinite denominators. This means that any number can be expressed as a rational number. However, the range of rational numbers between 2 and 7 is limited. This range includes all the numbers that can be expressed as fractions with numerators between 2 and 7.
Examples of Rational Numbers between 2 and 7
Some examples of rational numbers between 2 and 7 include 2/3, 3/4, 4/5, 5/6, and 6/7. All of these fractions have numerators between 2 and 7 and have a denominator that is greater than the numerator. There are also many other fractions in this range, including 2/7, 3/7, 4/7, 5/7, and 6/7.
Interesting Facts About Rational Numbers between 2 and 7
One interesting fact about rational numbers between 2 and 7 is that all of these fractions can be reduced to lowest terms. This means that all of these fractions can be expressed as fractions with numerators and denominators that are both prime numbers. Another interesting fact is that all of these fractions are also terminating decimals. This means that when you divide the numerator of any of these fractions by the denominator, the answer will be a decimal that has a finite number of places after the decimal point.
Conclusion
Rational numbers between 2 and 7 are a subset of all rational numbers. These numbers can be expressed as fractions with numerators between 2 and 7, and they can also be reduced to lowest terms and expressed as terminating decimals. Understanding these numbers and how they work can be useful in many mathematical applications.
