`sqrt (25)`
5
Change the fraction to a decimal
`3/4 `
0.75
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.
What is the set of all positive counting numbers starting with 0?
whole numbers
Compare the following by changing the ? to an inequality sign
`sqrt(16) ? 3`
`sqrt(16)=4`
`sqrt(16)>3`
Which of the following is a perfect square:
4, 10, 15, 300
4
Change the decimal below to a fraction.
`0.22`
`22/100 = 11/50`
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`
True or false: All real numbers are either rational or irrational.
true
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)`
Between which two square roots is
`sqrt (58)`
7 and 8
Change the following fraction to a decimal.
`7/11`
`0.6363...`
Is the following number rational or irrational? Why?
`sqrt (5)`
Irrational because square roots of non-perfect squares are irrational.
List the subsets of rational numbers from the least specific to the most specific.
integers, whole, natural
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`
Which point would best represent
`sqrt (99)`
D
Change the following decimal to a fraction.
`0.8`
`0.8 = 8/10 =4/5`
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`
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`
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)`
What would a good decimal estimate of
`sqrt(31)`
Acceptable answers would be 5.5 or 5.6
Change the following decimal to a fraction.
`0.040404...`
`4/99`
Is the following number rational or irrational? Why?
`-58`
It is rational. -58 can be made into a fraction
`-58 = - 58/1`
In which subsets of the real number set does the following value belong?
`-sqrt(49)`
Rational and integers
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)`