Ordering and Comparing Irrational Numbers

Place a point on the number line given for each of the following irrational numbers. 1. Point A: √2

• Point A should be placed at approximately 1.41 on the number line.

• Point A should be placed at approximately 2.00 on the number line.

• Point A should be placed at approximately 1.73 on the number line.

• Point A should be placed at approximately 3.14 on the number line.

Name the point on the number line associated with each irrational number. 13. √62

• Point D

• Point A

• Point B

• Point C

Compare the following numbers using < or >. 23. √17 ___ 9/2

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Compare the following numbers using < or >. 25. √99 ___ 28/3

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Compare the following numbers using < or >. 28. √12 ___ √21

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Compare the following numbers using < or >. 30. √2 ___ 7/4

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List the following numbers in order from least to greatest. 33. √16, 4.2, 39/8

• 39/8, 4.2, √16

• 4.2, 39/8, √16

• √16, 4.2, 39/8

• 4.2, √16, 39/8

List the following numbers in order from least to greatest. 37. √35, √32, √37, 22/3

• 22/3, √32, √35, √37

• √32, 22/3, √35, √37

• √35, √32, 22/3, √37

• √37, √35, √32, 22/3

List the following numbers in order from least to greatest. 38. √10, 3.5, √15, 13/3

• 3.5, 13/3, √10, √15

• √10, 3.5, 13/3, √15

• 13/3, 3.5, √10, √15

• 3.5, √10, 13/3, √15

List the following numbers in order from least to greatest. 39. √65, √60, 8.5, 37/4

• 37/4, √60, √65, 8.5

• √60, 37/4, 8.5, √65

• 8.5, 37/4, √60, √65

• √65, √60, 37/4, 8.5