Equations w/ Square Roots
Approximating Square Roots
Ordering Real Numbers
Rational or Irrational
Unrelated ?
100
Solve for x.
x² = 21
x = ± √21
100
Which point is the best approximation for the -√7 ?
Point A
100
In which direction from the zero, on the number line, represents a negative number?
To the left, to the left, not the right, not the right!!
100
What is the most famous irrational number?
Pi!
100
What is Ms. Barnes's favorite pi?
Pecan Pi!!
200
A square picture frame as an area of 27 inches squared. What is the length of one side. Do not approximate! No label needed.
√27
200
Which point is the best approximation for the √13 ?
Point F
200
Arrange the following numbers in order from least to greatest.
√37, 6, 6⅕, 6.3
___< ___<___<___
6 < √37 < 6⅕ < 6.3
200
Why are irrational numbers not considered rational numbers?
Irrational numbers cannot be written in fraction form.
200
What is Mr. Dugle's favorite pi?
Apple!
300
Solve for x.
x3 = 64
x = ³√64 = 4
300
Complete the following statement. Use the integers that are closest to the number in the middle.
__________ > √21 > __________
5 > √21 > 4
300
Arrange the following numbers in order from least to greatest.
³√31, 3.2, 3¼, 2², -3.5, -√9
___<___<___<___<___<___
-3.5 < -√9 < ³√31 < 3.2 < 3¼ < 2²
300
Explain why this number is rational.
-7.2
It can be written as a mixed number ( -7⅕ ) and as a fraction ( -36/5 ).
300
How many daughters does Ms. Barnes have?
Zero!
400
Solve for x.
x2 = 32 + 4
x = √36 = 6
400
What is the closest decimal approximation to √12, rounded to the nearest tenth?
3.8
400
Which point is closest to the -√17?
A
400
A decimal that repeats with a pattern is called a ________ and is a _________ number.
A decimal that repeats with a pattern is called a repeating decimal and is a rational number.
400
How many daughters does Mr. Dugle have?
Two!
500
Which statements justify this equation as a rational number?
x2 = 100
A. It can be written as a ratio of two integers.
B. It cannot be written as the ratio of two numbers.
C. It can be written as a whole number.
D. It cannot be written as a whole number.
A and C
500
Complete the following statement. Use the integers that are closest to the number in the middle.
_______ > √48 > _______ < √38 > _______
7 > √48 > 6 < √38 > 7
500
Where would the approximate value of √2 -1 be plotted on the number line? 
C
500
Is 2√100 a rational or irrational number? Why?
Yes. The square root of 100 is 10. 2 x 10=20. 20 can be written as a fraction 20/1.
500
How many sons do Mr.Dugle & Ms. Barnes have combined?
Five!