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# Module 7: Introduction to irrational numbers using geometry

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Intro to square rootsSquare roots of perfect squaresIntro to cube rootsWorked example: Cube root of a negative numberSquare root of decimalDimensions of a cube from its volumeSquare roots reviewCube roots reviewIntro to rational & irrational numbersClassifying numbers: rational & irrationalClassifying numbersClassifying numbers reviewApproximating square rootsApproximating square roots walk throughApproximating square roots to hundredths

Practice

Square rootsGet 5 of 7 questions to level up!

Cube rootsGet 5 of 7 questions to level up!

Equations with square roots & cube rootsGet 3 of 4 questions to level up!

Roots of decimals & fractionsGet 3 of 4 questions to level up!

Equations with square roots: decimals & fractionsGet 3 of 4 questions to level up!

Square and cube challengeGet 3 of 4 questions to level up!

Classify numbers: rational & irrationalGet 5 of 7 questions to level up!

Classify numbersGet 5 of 7 questions to level up!

Approximating square rootsGet 3 of 4 questions to level up!

Learn

Converting a fraction to a repeating decimalConverting repeating decimals to fractions (part 1 of 2)Converting repeating decimals to fractions (part 2 of 2)Comparing irrational numbers with radicalsComparing values with calculatorWriting repeating decimals as fractions reviewWriting fractions as repeating decimals review

Practice

Writing fractions as repeating decimalsGet 5 of 7 questions to level up!

Converting repeating decimals to fractionsGet 5 of 7 questions to level up!

Converting multi-digit repeating decimals to fractionsGet 3 of 4 questions to level up!

Comparing irrational numbersGet 5 of 7 questions to level up!

Comparing irrational numbers with a calculatorGet 5 of 7 questions to level up!

Learn

Finding distance with Pythagorean theoremDistance formulaUse Pythagorean theorem to find area of an isosceles trianglePythagorean theorem word problem: carpetPythagorean theorem word problem: fishing boatPythagorean theorem in 3D

Practice

Distance between two pointsGet 5 of 7 questions to level up!

Use Pythagorean theorem to find perimeterGet 3 of 4 questions to level up!

Pythagorean theorem word problemsGet 3 of 4 questions to level up!

Pythagorean theorem in 3DGet 3 of 4 questions to level up!

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