Square Roots and Perfect Squares

Review of square roots, perfect squares, the real number system, and compare and order numbers

Some text here about the topic of discussion

Let's try it!

You got this and I believe in you!!!! <3 Miss Issa

Squaring a number is raising that number to the power of ^two.

This tells you that you should multiply that number by itself. For example 5² means 5x5, which is just 25.

Taking the square root of a number is the opposite of squaring it. 

Fill in the Blank

What is the positive square root of $$\sqrt{121}$$ ? 

Use guessing and checking if you need to!

When simplifying square roots, knowing your perfect squares is very important.

Fill in the Blank

$$\sqrt{64\ }$$  

Fill in the Blank

$$-\sqrt{36}$$  

Fill in the Blank

$$\sqrt{144}$$  

Match

Match the following

• $$8\times6$$  

• $$9\times9$$  

• $$7\times8$$  

• $$12\times12$$  

• $$17\times17$$  

48

81

56

144

289

• 48

• 81

• 56

• 144

• 289

Fill in the Blank

$$Find\ \ \ \sqrt[]{36}$$  

Fill in the Blank

$$Find\ \ \ \sqrt[]{225}$$  

Fill in the Blank

Miss Issa decides to host a lemonade stand. The table they use has an inside area of 25 feet. What is the length of the sides of their square table?

REVIEW: You will find the approximate square root of imperfect squares. 

REVIEW: Approximating Square Roots

REVIEW: Approximating Square Roots

Multiple Choice

Between which two whole numbers does the √32 fall?

• 4 and 5

• 5 and 6

• 6 and 7

• 7 and 8

Multiple Choice

In between what two integers is the  $$\sqrt{44}$$  ?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7

Multiple Choice

The $$\sqrt{56}$$  is in between which two whole numbers?

• 1 and 2

• 3 and 4

• 5 and 6

• 7 and 8

Multiple Choice

The $$\sqrt{37}$$  is in between which two whole numbers?

• 1 and 2

• 3 and 4

• 6 and 7

• 7 and 8

Multiple Choice

The $$\sqrt{78}$$  is in between which two whole numbers?

• 10 and 11

• 11 and 12

• 9 and 10

• 8 and 9

Learning Target

• I can classify numbers using The Real Number System.

Multiple Choice

Any of the numbers {0, 1, 2, 3} etc.

There is no fractional or decimal part. There are no negatives. These would be:

• Integers

• Whole Numbers

• Irrational Numbers

Multiple Choice

Numbers that can be used for counting. They do not include zero or negatives. What kind of numbers are they?

• Whole

• Counting

• Integers

Number System

Multiple Choice

Is the number. 0.64646464... rational or irrational?

• Irrational because it is nonterminating.

• Rational because it is repeating.

• Irrational because it is an imperfect square.

• Rational because it terminates.

Multiple Choice

The number 9, classifies as all of the following groups except which one?

• Natural

• Whole

• Irrational

• Real

Multiple Choice

Is 36 a natural number?

• Yes

• No

Multiple Choice

Is the fraction 4/5 a natural number?

• Yes

• No

Multiple Choice

Which of the following is NOT a whole number?

• 0

• 3

• 0.4

• 12

Multiple Choice

Which of the following is an integer?

• $$\frac{1}{2}$$  

• 0.53

• -9

• -1.6

Match

Match the following to the BEST (most exact) category that it belongs to

• 0

• 5

• -4

• $$0.\overline{3}$$  

• $$\pi$$  

whole number

natural number

integer

rational

irrational

• whole number

• natural number

• integer

• rational

• irrational

Ordering Rational Numbers

Objective: Order rational numbers on a number line.

Multiple Choice

Make the percent to decimal.

142%

• 1.42

• 14.2

• 0.142

Multiple Choice

Make the percent to decimal.

7%

• .007

• 0.07

• 7

Multiple Choice

Place numbers from least to greatest.

• -3/7, -0.44, √2, 0.14, 141%,

• -0.44, 0.14, -3/7, √2, 141%

• -3/7, -0.44, 0.14, 141%, √2

• -0.44, -3/7, 0.14, 141%, √2

Multiple Choice

Point B could represent which of the following numbers?

• √24
• √30
• √35
• √42

Multiple Choice

Put in the symbol to make the statement true...
-17.5   _________ -√121

• >
• <
• =

Multiple Choice

Which list of numbers is in order from least to greatest?

• A √23, 5, 6, 43%
• B 5, √23, 6, 43%
• C 43%, 5, √23, 6
• D 43%, √23, 5, 6

Multiple Choice

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

• -64 , 3.5 , √27 , 6.666...
• 3.5 , √27 , 6.666..., -64
• 3.5, -64, √27, 6.666...
• 6.666, √27, -64, 3.5