Locating Irrational Numbers on a Number Line (Part 1)

This lesson teaches how to locate irrational numbers on a number line without a calculator. It explains the concept of irrational numbers using the square roots of 8 and 51 as examples. The lesson then guides students through understanding square roots by associating them with whole numbers, such as the square root of 25 being 5. Students are encouraged to complete a number line with square roots corresponding to numbers 1 through 10, emphasizing the difference between rational and irrational numbers.

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

• Square root of 4

• Square root of 8

• Square root of 16

• Square root of 9

What is the square root of 25?

• 7

• 6

• 4

• 5

If the square root of a number is 7, what is the original number?

• 56

• 49

• 42

• 36

Which number has a square root of 10?

• 90

• 100

• 80

• 110

What type of numbers are the square roots that correspond to numbers 1 through 10 on the number line?

• Rational numbers

• Irrational numbers

• Composite numbers

• Prime numbers