Exploring Real Numbers for 8th Grade Math

The video tutorial covers the classification of real numbers into rational and irrational numbers, providing examples such as pi and the square root of 5. It explains rational numbers, including fractions and integers, and their properties. The tutorial also discusses whole numbers and integers, emphasizing their role as subsets of rational numbers. It includes practical applications of real numbers in math problems, such as Venn diagrams and ordering numbers. Techniques for converting numbers to decimals and solving problems involving square roots are also demonstrated.

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

• π (pi)

• 1/2

• 3

• 0.75

What is a characteristic of rational numbers?

• They are always positive

• They can be written as a ratio of two integers

• They have non-repeating, non-terminating decimals

• They cannot be written as fractions

Which of the following is a rational number?

• √2

• 0.333...

• π (pi)

• √5

Which of the following is NOT a whole number?

• 0

• 3

• -2

• 5

What is the relationship between integers and rational numbers?

• All integers are rational numbers

• All rational numbers are integers

• Integers cannot be rational numbers

• Rational numbers are always positive

Which set does the number -12 belong to?

• Whole numbers

• Irrational numbers

• Natural numbers

• Integers

What is the correct classification for the number -√144?

• Whole number

• Rational number

• Irrational number

• Natural number

How do you convert a fraction to a decimal?

• Multiply the numerator by the denominator

• Subtract the numerator from the denominator

• Divide the numerator by the denominator

• Add the numerator and the denominator

Which of the following is the correct order from least to greatest for the numbers 0.67, 0.65, 0.7, and 0.65?

• 0.65, 0.67, 0.65, 0.7

• 0.67, 0.65, 0.65, 0.7

• 0.7, 0.67, 0.65, 0.65

• 0.65, 0.65, 0.67, 0.7

What is the approximate value of √48?

• 7.5

• 6.5

• 6.9

• 7.1