Exploring the Real Number System

The video tutorial reviews the real number system, focusing on converting fractions to decimals, understanding repeating decimals, and classifying real numbers. It covers evaluating expressions with cube roots, approximating square roots, and comparing numbers. The tutorial also explores the multiplication of rational and irrational numbers, providing examples and explanations to clarify these mathematical concepts.

How do you convert the fraction 9/50 into a decimal?

• Add 50 to 9

• Subtract 50 from 9

• Multiply 9 by 50

• Divide 9 by 50

What is the decimal representation of 7/18 with repeating digits?

• 0.38

• 0.387

• 0.39

• 0.389

What is the result of 2 plus the cube root of 27?

• 5

• 29

• 8

• 3

Which number category does 3 belong to after simplifying 48/16?

• Natural only

• Natural, Whole, Integer, Rational

• Irrational only

• Whole, Integer

Approximately what is the square root of 51 to the nearest tenth?

• 6.9

• 7.0

• 7.2

• 7.1

What is the classification of the square root of 76?

• Natural

• Integer

• Rational

• Irrational

What is the nearest integer approximation for the square root of 87?

• 8

• -8

• 9

• -9

Which number is greater: the square root of 125 or the square root of 135?

• Square root of 135

• Square root of 125

• Both are equal

• Cannot be determined

What is the approximate side length of a square with an area of 66 square feet?

• 6 feet

• 7 feet

• 8 feet

• 9 feet

A rational number multiplied by an irrational number results in which type of number?

• Sometimes rational

• Sometimes irrational

• Always rational

• Always irrational