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Evaluate expressions containing square roots. Classify numbers within the real number system.

Objectives. Evaluate expressions containing square roots. Classify numbers within the real number system. The radical symbol , is used to represent square roots. Positive real numbers have two square roots. Reading Math. The expression does not represent

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Evaluate expressions containing square roots. Classify numbers within the real number system.

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  1. Objectives Evaluate expressions containing square roots. Classify numbers within the real number system.

  2. The radical symbol , is used to represent square roots. Positive real numbers have two square roots.

  3. Reading Math The expression does not represent a real number because there is no real number that can be multiplied by itself to form a product of –36. 0 1 4 9 16 25 36 49 64 81 100 02 12 22 32 42 52 62 72 82 92 102

  4. D. A. C. E. B.

  5. The square roots of many numbers like , are not whole numbers. A calculator can approximate the value of as 3.872983346... Without a calculator, you can use square roots of perfect squares to help estimate the square roots of other numbers.

  6. As part of her art project, Shonda will need to make a square covered in glitter. Her tube of glitter covers 13 square inches. What is the greatest side length Shonda’s square can have? 0 1 4 9 16 25 36 49 64 81 100 02 12 22 32 42 52 62 72 82 92 102

  7. real numbers

  8. Rational numbers can be expressed in the form , where a and b are both integers and b ≠ 0: , , . 1 2 a b 7 1 9 10 Natural numbersare the counting numbers: 1, 2, 3, … Whole numbers are the natural numbers and zero: 0, 1, 2, 3, … Integers are whole numbers and their opposites: –3, –2, –1, 0, 1, 2, 3, …

  9. Repeating decimalsare rational numbers in decimal form that have a block of one or more digits that repeat continuously: 1.3, 0.6, 2.14 Irrational numbers cannot be expressed in the form . They include square roots of whole numbers that are not perfect squares and nonterminating decimals that do not repeat: , ,  a b Terminating decimals are rational numbers in decimal form that have a finite number of digits: 1.5, 2.75, 4.0

  10. Write all classifications that apply to each Real number. A. –32 rational number, integer B. 5 rational number, integer, whole number, natural number

  11. 4 9 3a. 7 3c. Write all classifications that apply to each real number. rational number 3b. –12 rational number, integer irrational number

  12. HW Pages35-37/11-19 odd,24-34 even,41-43,45-48,50, 54-62 even

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