Evaluating Perfect Square Roots
The square pool at Sammie's gym has an area of 144 square feet. What is the length of one side of the pool?
12 feet
Fractions are converted to decimals by dividing the _______ by the ________.
numerator, denominator
Miranda bought a square frame that has an area of 30 square inches. What is the approximate side length of the frame to the nearest tenth?
approximately 5.5 inches
What are the two main subgroups of Real Numbers?
Rational and Irrational
What term can be defined as "least to greatest" or "increasing" ?
Ascending
Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame?
36 inches
Two types of rational decimals are __________ and ___________.
terminating, repeating
Tristan wants to build a square garden in his backyard that will cover an area of 75 feet squared. If Tristan has 32 feet of material for the perimeter of the garden, does he have enough? If no, what minimum value of material would he need for the perimeter?
No; the approximate side length is 8.5 ft. Tristan would need at least 34 feet of material for the perimeter.
Which of the following is not an irrational subset?
A. repeating decimals
B. pi
C. non-terminating/non-repeating decimals
D. non-perfect square roots
A. repeating decimals
Numbers that are defined as "counting numbers starting with 1" are called ___________.
Natural
Heather is putting together a square bulletin board for her new rom, and the area of the bulletin board is 196 cm2. What is the total distance around the bulletin board?
56 cm
Ricky ran 7/16 of a mile before stopping to tie his shoe. Represent the distance he ran as a decimal. Then, state if the decimal is terminating or repeating.
0.4375; terminating
Which of the following statements is not true?
A. The square root of 112 is between 10 & 11
B. The square root of 12 is between 4 & 5
C. The square root of 180 is between 13 & 14
B. The square root of 12 is between 4 & 5
True or False?
Integers are considered whole, rational, and real
False; Integers are not whole because integers includes negatives
Numbers that can be written as fractions, terminating decimals, and repeating decimals are _________.
Rational
True or False?
The inverse of squaring a number is dividing it by 2
False; the inverse of squaring a number is taking the square root.
Emily ended up using 7/3 cups of flour in a recipe for cookies. Express the amount of flour that she used as a decimal. Then, state if the decimal is terminating or repeating.
2.333...; repeating
A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the sandbox.
approximately 8.6 (between 8 & 9)
True or False?
Every real number is a rational number?
False; irrational numbers are also real
Integers are _________ numbers and their opposites.
whole
Which of the following is NOT an example of a perfect square?
A. 9
B. 200
C. 4
D. 64
B. 200
Which of the following fractions converts to a repeating decimal?
A. 7/8
B.3/5
C. 2/9
C. 2/9
True or False?
Non-perfect square roots are real numbers
True; non-perfect square roots are irrational. Irrational is a subgroup of Real Numbers
True or False?
Some irrational numbers are integers
False; integers can be written as fractions and are rational
Natural, Whole, Integer, Rational, and Irrational are all ____________ of the real number system.
subsets/subgroups