Lesson 1.3: Compare and Order Real Numbers

​Lesson 1.3

Compare and Order Real Numbers​

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Definition:

Real Numbers: All rational and all irrational numbers are real numbers. The only numbers that are not real numbers are imaginary numbers, which are the result of taking the square root of a negative number.

Subject | Subject

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​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.