Final answer:
To choose three rational and three irrational numbers close to 15, we need to understand their definitions and properties.
Rational numbers: 14, 14.5, 15.5
Irrational numbers: √14, 15.2, 15.7
Step-by-step explanation:
Rational numbers can be written as fractions or decimals that terminate or repeat, while irrational numbers cannot be expressed as fractions and have non-terminating and non-repeating decimals.
Three rational numbers that are close to 15 could be 14, 14.5, and 15.5.
These numbers can be expressed as fractions, for example, 14 can be written as the fraction 14/1.
Three irrational numbers close to 15 could be √14, 15.2, and 15.7.
These numbers cannot be expressed as fractions and have decimals that continue indefinitely without repeating.
Ordering the numbers from least to greatest would be:
Rational numbers: 14, 14.5, 15.5
Irrational numbers: √14, 15.2, 15.7