Praxis II: Math (5003) Already Rated A+
1. What is the definition of integers?
Answer: Integers are positive and negative whole numbers, including 0.
2. What is a prime number?
Answer: A prime number is a whole number greater than 1 that only has two factors: itself and 1.
3. What is a composite number?
Answer: A composite number is a whole number greater than 1 that has more than two different
factors.
4. What is the definition of rational numbers?
Answer: Rational numbers include all integers, decimals, and fractions, as well as terminating or
repeating decimal numbers.
5. What are irrational numbers?
Answer: Irrational numbers are numbers that cannot be written as fractions or decimals because they
have an infinite number of decimal places with no recurring pattern.
6. What is the set of all rational and irrational numbers called?
Answer: The set of all rational and irrational numbers is called real numbers.
, 7. What is the order of operations in mathematics?
Answer: The order of operations is PEMDAS (Parentheses, Exponents, Multiplication and Division, and
Addition and Subtraction), with multiplication and division worked from left to right in the absence of
parentheses.
8. What is the commutative property?
Answer: The commutative property states that the order of two numbers can be switched around
without changing the result.
9. What is the associative property?
Answer: The associative property states that grouping numbers together does not change the value.
10. What is the distributive property?
Answer: The distributive property states that a(b + c) = ab + ac.
11. What are the additive identity properties?
Answer: The additive identity properties state that a + 0 = a and any number added to its opposite (-) is
equal to zero.
12. What are the multiplicative identity properties?
Answer: The multiplicative identity properties state that 1 is the multiplicative identity such that a x 1 =
a, and any number multiplied by its reciprocal is equal to 1.
13. What is the law of exponents?
1. What is the definition of integers?
Answer: Integers are positive and negative whole numbers, including 0.
2. What is a prime number?
Answer: A prime number is a whole number greater than 1 that only has two factors: itself and 1.
3. What is a composite number?
Answer: A composite number is a whole number greater than 1 that has more than two different
factors.
4. What is the definition of rational numbers?
Answer: Rational numbers include all integers, decimals, and fractions, as well as terminating or
repeating decimal numbers.
5. What are irrational numbers?
Answer: Irrational numbers are numbers that cannot be written as fractions or decimals because they
have an infinite number of decimal places with no recurring pattern.
6. What is the set of all rational and irrational numbers called?
Answer: The set of all rational and irrational numbers is called real numbers.
, 7. What is the order of operations in mathematics?
Answer: The order of operations is PEMDAS (Parentheses, Exponents, Multiplication and Division, and
Addition and Subtraction), with multiplication and division worked from left to right in the absence of
parentheses.
8. What is the commutative property?
Answer: The commutative property states that the order of two numbers can be switched around
without changing the result.
9. What is the associative property?
Answer: The associative property states that grouping numbers together does not change the value.
10. What is the distributive property?
Answer: The distributive property states that a(b + c) = ab + ac.
11. What are the additive identity properties?
Answer: The additive identity properties state that a + 0 = a and any number added to its opposite (-) is
equal to zero.
12. What are the multiplicative identity properties?
Answer: The multiplicative identity properties state that 1 is the multiplicative identity such that a x 1 =
a, and any number multiplied by its reciprocal is equal to 1.
13. What is the law of exponents?
