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Published byEvangeline McLaughlin Modified over 5 years ago

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**Warm Up Find each quotient 1. -98.44/-4.6 2. -7 divided by 3/5**

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Answers 21.4 -35/3 -1/16

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**2-7 Square Roots and Real Numbers Objectives: The student will be able to:**

1. find square roots 2. classify and order real numbers

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**A square root is one of two equal factors of a number.**

If x2 = y then x is a square root of y. In the expression , is the radical sign and 64 is the radicand.

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**What numbers are perfect squares?**

1 • 1 = 1 2 • 2 = 4 3 • 3 = 9 4 • 4 = 16 5 • 5 = 25 6 • 6 = 36 49, 64, 81, 100, 121, 144, …

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1. Find the square root: 8 2. Find the square root: -0.2 3. Find the square root: ±11 4. Find the square root:

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**5. Use a calculator to find .**

Round the decimal answer to the nearest hundredth.

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**Rational numbers can be written as terminating or repeating decimals, or fractions.**

Irrational numbers cannot be written as terminating or repeating decimals, or fractions. Examples: Note: 3 and 24 are not perfect squares

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**The set of real numbers consists of the set of rational numbers and the set of irrational numbers.**

Rational Numbers Irrational Numbers Integers Whole Numbers Natural Numbers

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Examples: Name the set or sets to which real number belongs.

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irrational rational natural number, whole number, integer, rational number integer, rational number

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You can write a set of real numbers in order from greatest to least or least to greatest. To do so, find a decimal approximation for each number in the set.

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**Write and in order from least to greatest.**

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