Comparing Real Numbers for 8th Grade Mathematics

This video tutorial covers the comparison of real numbers, focusing on the distinction between rational and irrational numbers. It explains the properties of these numbers, how to classify them into natural, whole, integers, and rational categories, and how to identify which set a number belongs to. The tutorial also provides methods for comparing and ordering real numbers using decimal notation.

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

• 2/3

• √3

• 0.75

• 4

What is the definition of an irrational number?

• A number that is always positive

• A number that cannot be expressed as a ratio of two integers

• A number that is always negative

• A number that can be expressed as a fraction

Which set of numbers includes the counting numbers and zero?

• Rational numbers

• Natural numbers

• Integers

• Whole numbers

Which of the following is a whole number but not a natural number?

• 0

• 3

• 2

• 1

What type of number is -2.5?

• Rational number

• Integer

• Whole number

• Natural number

Which of the following numbers is both an integer and a rational number?

• √2

• π

• 3

• 0.5

How do you convert a percentage to a decimal?

• Move the decimal point one place to the right

• Move the decimal point two places to the left

• Move the decimal point one place to the left

• Move the decimal point two places to the right

Which of the following is the correct decimal representation of 2/3?

• 0.67

• 0.66

• 0.666

• 0.6666...

When comparing the numbers 3.3166 and 3.3333, which one is larger?

• 3.3166

• 3.3333

• Cannot be determined

• They are equal

Which of the following numbers is the smallest: -7, -7.7, -7.3, -7.745?

• -7

• -7.7

• -7.745

• -7.3