Squares and Square Roots
Fractions and Decimals
Rational or Irrational?
Classifying Real Numbers
Comparing and Ordering Real Numbers
100
sqrt (25)
5
100
Change the fraction to a decimal
3/4
0.75
100
Is the following fraction rational or irrational? Why?
8/9
It is rational because it is a fraction. A number being able to be written as fraction is the definition of what makes a number rational.
100
What is the set of all positive counting numbers starting with 0?
whole numbers
100
Compare the following by changing the ? to an inequality sign
sqrt(16) ? 3
sqrt(16)=4
sqrt(16)>3
200
Which of the following is a perfect square:
4, 10, 15, 300
4
200
Change the decimal below to a fraction.
0.22
22/100 = 11/50
200
Is the following number rational or irrational?
90
It is rational. All integers can be made into fractions by placing the number over 1 as shown.
90 = 90/1
200
True or false: All real numbers are either rational or irrational.
true
200
Compare the following by changing the ? to an inequality sign.
5 ? sqrt(35)
A reasonable estimate for the square root of 35 is 5.9, so therefore
5<sqrt(35)
300
Between which two square roots is
sqrt (58)
7 and 8
300
Change the following fraction to a decimal.
7/11
0.6363...
300
Is the following number rational or irrational? Why?
sqrt (5)
Irrational because square roots of non-perfect squares are irrational.
300
List the subsets of rational numbers from the least specific to the most specific.
integers, whole, natural
300
Compare the following by changing the ? to an inequality sign.
-7/2 ? -2.5
-7/2=-3 1/2=-3.5
-7/2<-2.5
400
Which point would best represent 
sqrt (99)
D
400
Change the following decimal to a fraction.
0.8
0.8 = 8/10 =4/5
400
Is the following decimal rational or irrational? Why?
2.34343434...
It is rational because repeating decimals can be made into fractions
2.343434...=2 34/99
400
List all of the number sets that the following number belongs. Then name the most specific set.
4 sqrt(121)
Because it is equal to 44, it belongs to the sets integers, whole numbers, and natural numbers. Natural numbers is the most specific set.
4 sqrt(121) = 4times11=44
400
List the following values in ascending order.
-6.025, -sqrt(36), -6 1/6, -13/2
-13/2, -6 1/6, -6.025, -sqrt(36)
500
What would a good decimal estimate of
sqrt(31)
Acceptable answers would be 5.5 or 5.6
500
Change the following decimal to a fraction in simplest form.
0.85
17/20
500
Is the following number rational or irrational? Why?
-58
It is rational. -58 can be made into a fraction
-58 = - 58/1
500
In which subsets of the real number set does the following value belong?
-sqrt(49)
Rational and integers
500
List the following values in decreasing order.
8 1/2, sqrt(65), 8.8, 82/9
82/9, 8.8, 8 1/2, sqrt(65)