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.

`0.040404...`

`4/99`

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)`

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