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A rational number is one which can be expressed as a ratio of two integers.
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What is the difference between ratio and rational numbers?
Rational numbers are equivalent to ratios of two integers (the denominator being non-zero). A ratio is a relationship between two set of values. For example, the ratio of the circumference of a circle to its diameter is pi, which is not a rational number.
How to explain making equivalent ratios?
Equivalent ratios are ratios that represent different numbers but the relationship between the numbers is same.
Are rational numbers ratios?
Yes, they are.
How can the division of rational numbers be used in data?
Ratios
What is the relationship between ratios and fractions?
They are all different ways of representing the same thing: a relationship between two numbers.
Can negative one half be a rational number?
Yes - all numbers that can be written as ratios, even negative numbers, are rational numbers.
What is the relationship between ratios fractions and percents?
They are all different ways of representing the same thing: a relationship between two numbers.
Are ratios always rational?
No, but the reverse is true. All rational numbers are ratios but not all ratios are rational. You will often come across π being defined as the RATIO of the circumference of a circle to its diameter (there are other definitions). However, the word "rational" is derived from "ratio".
What is the name of equivalent ratios?
Equivalent ratios are often referred to as "proportional ratios." These are ratios that express the same relationship between two quantities, even though the numbers may differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.
What are rational numbers and why are they important?
Rational numbers are ratios of two integers (the second of which is not zero). They are important if any number needs to be divided into equal parts.
Why are there irrational numbers?
Because there are numerical values which cannot be expressed as ratios of two integers. That is, there are numbers that are not rational.
What is the relationship of a fraction to a ratio?
Fractions and ratios are practically the same thing. Fractions are rational numbers (notice the word "ratio" at the beginning of "rational"). They are sometimes used in slightly different contexts, but both express parts of a whole.
