Lesson 1.2 and 1.3: Understand Irrational Numbers

​Lesson 1.2

Understand Irrational Numbers​

Some text here about the topic of discussion

Definitions:

Subject | Subject

Some text here about the topic of discussion

​Separate the rational and irrational numbers:

​½ 

0.555…

0.2122232425…

𝛑

8/7

-15

Multiple Choice

Is 2.252525... a rational or irrational number?

• Rational

• Irrational

Multiple Choice

Is $$\sqrt[]{5}$$  a rational or irrational number?

• Rational

• Irrational

Multiple Choice

Is 0 a rational or irrational number?

• Rational

• Irrational

Multiple Choice

Is 7.222333444555... a rational or irrational number?

• Rational

• Irrational

Lesson 1.3

Compare and Order Real Numbers

​​How to approximate non-perfect squares using perfect squares:

Multiple Choice

Approximate $$\sqrt[]{8}$$  using perfect squares:

• $$3\ <\sqrt[]{8}<4$$  

• $$2\ <\sqrt[]{8\ }<3$$  

• $$3\ <\ \sqrt[]{8}<2$$  

• $$7\ <\sqrt[]{8}<9$$  

Multiple Choice

Approximate $$\sqrt[]{26}$$  using perfect squares.

• $$5\ <\ \sqrt[]{26}<6$$  

• $$6\ <\sqrt[]{26}<7$$  

• $$25\ <\sqrt[]{26}<27$$  

• $$7\ <\sqrt[]{26}<8$$  

Multiple Choice

Approximate $$\sqrt[]{40}$$  using perfect squares.

• $$39\ <\sqrt[]{40}<41$$  

• $$6\ <\sqrt[]{40}<7$$  

• $$36\ <\sqrt[]{40}<49$$  

• $$0<\sqrt[]{40}<1,000$$  

Multiple Choice

$$\sqrt[]{17}$$  would be between what two numbers on a number line?

• 3 and 4

• 4 and 5

• 5 and 6

• 16 and 18

Multiple Select

$$\sqrt[]{70}$$  would be between what two numbers on a number line?

• 8 and 9

• -8 and -9

• 69 and 71

• -69 and -71

​Conclusion: Write two complete sentences about what you learned.