classify the following into rational and irrational number. 10π rational or irrational number
Answers
Answer:
irrational
Step-by-step explanation:
Answer:
Rational number
A rational number (Q) is any number which can be written as:
ab
where a and b are integers and b≠0.
The following numbers are all rational numbers:
101;217;−1−3;1020;−36
We see that all numerators and all denominators are integers.
This means that all integers are rational numbers, because they can be written with a denominator of 1.
Irrational numbers
Irrational numbers (Q′) are numbers that cannot be written as a fraction with the numerator and denominator as integers.
Examples of irrational numbers:
2–√;3–√;4–√3;π;1+5–√2
These are not rational numbers, because either the numerator or the denominator is not an integer.
Decimal numbers (EMA5)
All integers and fractions with integer numerators and non-zero integer denominators are rational numbers. Remember that when the denominator of a fraction is zero then the fraction is undefined.
You can write any rational number as a decimal number but not all decimal numbers are rational numbers. These types of decimal numbers are rational numbers:
Decimal numbers that end (or terminate). For example, the fraction 410 can be written as 0,