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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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