Warm Up Find each quotient / divided by 3/5

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Presentation transcript:

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

Answers 21.4 -35/3 -1/16

2-7 Square Roots and Real Numbers Objectives: The student will be able to: 1. find square roots 2. classify and order real numbers

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.

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, …

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

5. Use a calculator to find . Round the decimal answer to the nearest hundredth.

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

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

Examples: Name the set or sets to which real number belongs. 1. 3. 2. 4. -327

1. irrational 2. rational 3. natural number, whole number, integer, rational number 4. -327 integer, rational number

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.

Write and in order from least to greatest.