Replace each ___ with <, >, or = to make a true statement.#1.

#2.

Order each group of numbers from least to greatest.#3.

#4.

Bell Ringer

Homework Check

Open Notes Pop QuizYou need a piece of paper, a pencil, your

calculator, and your notes You may not talk or use your computer.When you are finished, turn in to me and

quietly work on something for another class or read a book.

Section 10.1

Square and Square Roots

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VocabularyPerfect Square – The square of an integer

Square Root – One of the squares two equal factors

Radical Sign – Used to indicate a positive square root,

NotesEvery positive number has both a positive

and a negative square root.

A negative number like -36 has no real-number square root because the square of a number cannot be negative.

Example 1Find Square Roots

Example 2Find Square Roots

Find each square root.a. b.

c. d.

Your TurnFind Square Roots

Example 3Estimate Square Roots

You can estimate the square root

of an integer that is not a

perfect square by

determining between

which two consecutive integers the square root

lies.

Example 4Estimate Square Roots

Example 5Estimate Square Roots

Estimate each square root to the nearest integer.

Your TurnPractice Estimating Square Roots

Example 6Use a Calculator to Find a Square Root

Example 7Use a Calculator to Find a Square Root

Use a calculator to find √57 to the nearest tenth.

Your TurnPractice Using a Calculator to Find a Square Root

Example 8Use a Calculator to Find a Negative Square Root

Example 9Use a Calculator to Find a Negative Square Root

Use a calculator to find -√42 to the nearest tenth.

Your TurnPractice Using a Calculator to Find a Negative Square Root

Example 10Use Square Root to Solve Problems

Example 11Use Square Roots to Solve Problems

The tallest building in Houston, Texas, is the JP Morgan Chase Tower, standing at 1002 feet. About how far to the horizon can a person standing on the top floor see? Round your

answer to the nearest tenth.

When finding square roots in real-world situations, use the positive square root when a negative answer

does not make sense.

Your TurnPractice Using Square Roots to Solve Problems

Spring Port Ledge Lighthouse in Maine is approximately 55 feet high. Estimate and

then calculate about how far a person who is standing on the observation deck can see on a clear day. Round to the nearest tenth of a

mile.

Quiz TomorrowYou will have a Quiz Tomorrow covering 3.1,

3.2, and 10.1.The topics covered in these sections are:

Fractions and DecimalsRational NumbersSquares and Square Roots

There will be no vocabulary on this quiz.Make sure you know how to solve problems

from each section. Use your notes and homework to study for this quiz.

HomeworkSection 10.1 #1-10