Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10. They then graph these decimals on expanded number lines.

Concepts

comparing decimals, decimals, decimals repeating, irrational numbers, rational numbers

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Additional Tags

math

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Instructional Ideas

• Ask your classes to share and explain their answers to help them practice the new vocabulary
• Form human number lines to practice placement of infinite decimals

Classroom Considerations

• Individuals must be familiar with powers of 10 and expanded number lines

Pros

• Includes a set of problems for independent practice
• The teacher guide provides questioning suggestions and helpful explanations

Cons

• None

Common Core

8.NS.A.1 8.NS.A.2 MP3