Understanding Real Numbers

The video explains real numbers as any number that can be plotted on a number line. It provides examples like integers, non-terminating decimals, and special numbers like pi and root two. The video categorizes numbers into terminating decimals, non-terminating recurring decimals, and non-terminating non-recurring decimals. It further explains that rational numbers include terminating and recurring decimals, while irrational numbers are non-recurring. Together, rational and irrational numbers form real numbers.

What is the simplest definition of a real number?

• A number that is an integer

• A number that is positive

• A number that is negative

• A number that can be plotted on a number line

Which of the following is a real number?

• Infinity

• Imaginary unit i

• None of the above

• Minus two

Why is the square root of two considered a real number?

• It is a terminating decimal

• It is an integer

• It is a recurring decimal

• It can be plotted on a number line

Which of the following is true about pi?

• It is a non-terminating non-recurring decimal

• It is a terminating decimal

• It is an integer

• It is a non-terminating recurring decimal

What type of decimal is 0.375?

• Terminating decimal

• Non-terminating recurring decimal

• None of the above

• Non-terminating non-recurring decimal

Which of the following is a non-terminating recurring decimal?

• 0.375

• Square root of 2

• 0.666...

• Pi

What is a non-terminating non-recurring decimal?

• A decimal that is an integer

• A decimal that neither ends nor repeats

• A decimal with a repeating pattern

• A decimal that ends

Which of the following is an irrational number?

• 0.5

• 1/3

• 2

• Square root of 2

What do rational and irrational numbers together form?

• Complex numbers

• Whole numbers

• Real numbers

• Natural numbers

What is the relationship between rational numbers and real numbers?

• Rational numbers are not real numbers

• Rational numbers are a subset of real numbers

• Rational numbers are the same as real numbers

• Rational numbers are larger than real numbers