Comparing Irrational and Rational Numbers

This lesson teaches how to compare rational and irrational numbers. It covers comparing rational numbers by aligning decimals and using the greater than sign. It explains irrational numbers, such as those with non-repeating decimals, and how to compare them. The lesson also discusses pi, its approximation, and how to compare it with 3.14. Finally, it covers estimating square roots of non-perfect squares for more precise comparisons.

What is the process for comparing two rational numbers in decimal form?

How do you determine which of two negative numbers is greater?

What is an irrational number and how is it represented?

What is the significance of the dot dot dot when comparing irrational numbers?

Explain how to compare the irrational number pi with the rational number 3.14.

How can you estimate the value of a square root that is not a perfect square?

Describe the steps to compare an irrational number like radical 18 to a rational number like 4.5.