Squares and Square Roots
Converting between Fractions and Decimals
Estimating Square Roots
Classifying Real Numbers
Vocabulary Terms
100

The square of 3.

What is 9?

100

Fractions are converted to decimals by dividing the _______ by the ________.

What is the numerator by the denominator?

100

The square root of 30 is between these two whole numbers.

What is 5 and 6?

100

What are the two main subgroups of Real Numbers?

Rational and Irrational

100

The subsets of rational and irrational numbers make up this number system.

What is the real number system?

200

The square root of 81.

What is 9?

200

Two types of rational decimals are __________ and ___________.

What is terminating and repeating?

200

The square root of 75 is between these two whole numbers.

What is 8 and 9?

200

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

200

Numbers that are defined as "counting numbers starting with 1" are called  ___________.

Natural

300

The square of 15.

What is 225?

300

Ricky ran 7/16 of a mile before stopping to tie his shoe. Write his distance as a decimal.

What is 0.4375?

300

Which of the following statements is not true?

A. The  sqrt(112)  is between 10 & 11

B. The  sqrt(12)  is between 4 & 5

C. The  sqrt(180)  is between 13 & 14

What is B. The

sqrt(12)

 is between 4 & 5?

300

True or False?

Integers are considered whole, rational, and real

False; Integers are not whole because integers includes negatives

300

Numbers that can be written as fractions, terminating decimals, and repeating decimals are _________.

Rational

400

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.

400

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.  

What is 2.333..?

400

Which is larger: 

sqrt(5) or 7?

What is 7?

400

True or False?

Every real number is a rational number.

False; irrational numbers are also real

400

Integers are _________ numbers and their opposites.

whole

500

The length of one side of the square pool at Sammie's gym with an area of 144 square feet.


What is 12 feet?

500

Which of the following fractions converts to a repeating decimal?

A. 7/8   B.3/5   C. 2/9

What is C. 2/9?

500

True or False? Non-perfect square roots are real numbers.

True; non-perfect square roots are irrational. Irrational is a subgroup of Real Numbers

500

True or False?

Some irrational numbers are integers.

False; integers can be written as fractions and are rational.

500

Natural, Whole, Integer, Rational, and Irrational are all ____________ of the real number system.

subsets/subgroups