Be Rational
A decimal that continues in a pattern is called . . .
A Repeating Decimal
Provide an example of an integer
any positive or negative whole number
Another name for the Natural Numbers is...
Counting Numbers
Name all of the classifications for the number zero.
Whole, Integer, Rational
Jake claims that the average of two irrational numbers is always irrational. Provide an example to support or refute his claim and explain your reasoning.
False, because the square root of 2 and the square root of negative 2 give you 0. And 0 is a rational number.
True or False: All rational numbers are integers
False (9.5 is rational but not an integer)
Whole numbers include all natural numbers and what other number...
Zero
Integers are...
Positive and Negative Whole Numbers
Name all of the classifications for +8
Natural, Whole, Integer, Rational
A baker uses a recipe that requires 2.5 cups of sugar and 3.25 cups of flour. If the baker decides to double the recipe calculate the amount of sugar and flour needed.
5 cups and 6.5 cups.
A decimal that ends is called a....
Terminating Decimal
Provide an example of a number that is a rational number, but not an integer
any decimal or fraction
True or False: Some real numbers can be classified as both rational and irrational.
False
Name all of the classifications for -19
integer, rational
A student is trying to determine the height of a tree using shadow lengths. They measure the shadow of the tree to be 15.5 meters and the shadow of a 2 meter tall pole to be 3 meters. If you set up a proportion to find the height of the tree, what value will you get?
10.33
True or False: Negative numbers are not rational
False
Provide an example of an irrational number
any non-terminating or non-repeating decimal
If a decimal does not terminate or repeat then the number is ....
An Irrational Number
Name all of the classification for 9/3
natural, whole, integer, rational
In a park a pathway is shaped like a semicircle with a radius of 4 meters. Calculate the length of the pathway. Given that the value of pi is approx. 3.14.
12.56
These numbers can be written as fractions.
Rational Numbers
Eight and a half is an example of what kind of number
Rational
True or False: The natural numbers are a subset of the integers.
True
Name all the classification for 8.2525...
Rational
Maria is measuring the sides of her garden, which has dimensions of 5 meters by 7 meters. She wants to find the diagonal length of the garden using the Pythagorean theorem. If she finds theat the diagnoal length is approx. 8.6 meters, classify the number as rational or irrational and explain your reasoning.
Irrational