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The Number System Know that there are numbers that are not rational, and approximate them by rational numbers. 2Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π² ).
For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

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$- Examining Square Root Relative Values worksheet$ $- Examining Square Root Relative Values worksheet$

- Examining Square Root Relative Values worksheet

- Examining Square Root Relative Values worksheet

Examining Square Root Relative Values

Each worksheet has 20 problems determining which two whole numbers a radical is closer to.

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$- Examining Square Roots worksheet$ $- Examining Square Roots worksheet$

- Examining Square Roots worksheet

- Examining Square Roots worksheet

Examining Square Roots

Each worksheet has 20 problems determining what two whole numbers a square root lies between.

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$- Finding Radicals on a Numberline worksheet$ $- Finding Radicals on a Numberline worksheet$

- Finding Radicals on a Numberline worksheet

- Finding Radicals on a Numberline worksheet

Finding Radicals on a Numberline

Each worksheet has 10 problems finding the location of a radical on a numberline.

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$- Finding Square and Cube Roots with Equations worksheet$ $- Finding Square and Cube Roots with Equations worksheet$

- Finding Square and Cube Roots with Equations worksheet

- Finding Square and Cube Roots with Equations worksheet

Finding Square and Cube Roots with Equations

Each worksheet has 16 problems finding the square and cube root of basic equations.

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$- Rewriting Factors as Squares worksheet$ $- Rewriting Factors as Squares worksheet$

- Rewriting Factors as Squares worksheet

- Rewriting Factors as Squares worksheet

Rewriting Factors as Squares

Each worksheet has 20 problems rewriting a list of factors as a multiplication expression with a square.

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$- Simplifying Radicals worksheet$ $- Simplifying Radicals worksheet$

- Simplifying Radicals worksheet

- Simplifying Radicals worksheet

Simplifying Radicals

Each worksheet has 20 problems simplifying radicals within 100.

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$- Solving Square Roots worksheet$ $- Solving Square Roots worksheet$

- Solving Square Roots worksheet

- Solving Square Roots worksheet

Solving Square Roots

Each worksheet has 20 problems finding the square root of a number.

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$- Solving with Negative Powers worksheet$ $- Solving with Negative Powers worksheet$

- Solving with Negative Powers worksheet

- Solving with Negative Powers worksheet

Solving with Negative Powers

Each worksheet has 20 problems finding the value of a negative power.

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$- Expressing Decimals with Numberlines worksheet$ $- Expressing Decimals with Numberlines worksheet$

- Expressing Decimals with Numberlines worksheet

- Expressing Decimals with Numberlines worksheet

Expressing Decimals with Numberlines

Each worksheet has 8 problems using numberlines to show decimal expansion.

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