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Squares and Square Roots Objective: Students will be able to successfully multiply and simplify expressions using squares and square roots. Warm-Up Evaluate:

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Squares and Square Roots Definitions What two “things” create real numbers? o Rational numbers o Irrational numbers Rational Number: o Positive and Negative Whole Numbers o Fractions (and decimals) that terminate o Fractions (and decimals) that repeat Irrational Number: o A number that has a decimal that doesn’t end and has no pattern. o π and e What is a perfect square? – A rational number that is created by multiplying two of the exact same number – Will always be positive!! What is a square root? – Stating the number that creates the value underneath the root – Square roots can only be taken of positive numbers! What is an imaginary number???? o A number that can’t be calculated or approximated o i – what’s that?

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Squares and Square Roots Combine the following:

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Squares and Square Roots Calculate the following:

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Squares and Square Roots Calculate the following:

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Squares and Square Roots Calculate the following:

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Squares and Square Roots Homework: – Pg. 538 Written Exercises#1 – 12, 29 – 32

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The Real Number System. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers 4 9 15 0 1/2 -8 -3 0.45 -¾ 18% π √2√2 − -5.368257….

The Real Number System. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers 4 9 15 0 1/2 -8 -3 0.45 -¾ 18% π √2√2 − -5.368257….

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