Reviewing Key Concepts from Module 1

The video tutorial reviews rational and irrational numbers, starting with an overview of real and not real numbers. It explains irrational numbers like pi and non-perfect square roots, and rational numbers such as fractions and repeating decimals. The tutorial includes practice problems to identify rational and irrational numbers and provides instructions on converting numbers to decimals and ordering them.

What are the two categories of numbers discussed?

• Real and Imaginary

• Whole and Fractional

• Rational and Irrational

• Positive and Negative

What makes a number not real?

• Having a negative sign outside the square root

• Being a non-terminating decimal

• Having zero in the denominator

• Being a perfect square root

Which of the following is an example of an irrational number?

• 2/3

• Pi (π)

• Square root of 16

• 0.75

Which of the following is a characteristic of irrational numbers?

• They can be written as a fraction

• They have a repeating decimal pattern

• They include non-perfect square roots

• They are always positive

How can you determine if a square root is not perfect?

• It has a negative number inside the square root

• It can be simplified to a whole number

• It cannot be simplified to a product of the same number

• It is a fraction

What does a non-terminating decimal do?

• Repeats a pattern indefinitely

• Ends after a finite number of digits

• Goes on indefinitely without repeating

• Can be written as a simple fraction

What is the root word of 'rational'?

• Rate

• Ratio

• Ration

• Rationalize

Which of the following numbers is rational?

• Square root of -9

• Pi (π)

• Square root of 8

• 3.14

What property does a terminating decimal have?

• It ends after a finite number of digits

• It repeats indefinitely

• It has a square root

• It includes the number pi (π)

Which of the following numbers would be considered rational?

• Pi (π) over 4

• Decimal with a non-repeating pattern

• Square root of -16

• 3.142857