Mathia Vocabulary Module 1

The _______________ states that for any numbers a, b, and c, a(b + c) = ab + ac.

• Expressions

• Common Factor

• Composite Number

• Distributive Property

Answer explanation

The Distributive Property states that a(b + c) = ab + ac, illustrating how multiplication distributes over addition. This is a fundamental property in algebra, making 'Distributive Property' the correct choice.

Tags

CCSS.6.EE.A.3

An ______ is a mathematical sentence that uses an equals sign to show that two expressions are the same as one another. It can contain numbers, variables, or both in the same mathematical sentence.

• Equation

• Expression

• Exponent

• Equivalent Fraction

Answer explanation

An equation is a mathematical sentence that uses an equals sign to indicate that two expressions are equal. It can include numbers and variables, making 'equation' the correct choice over the other options.

Tags

CCSS.6.EE.A.2C

A number is _____ if it has exactly two distinct factors: 1 and the number itself.

• Composite

• Prime

• Fraction

• Multiple

Answer explanation

A number is prime if it has exactly two distinct factors: 1 and itself. Composite numbers have more than two factors, while fractions and multiples do not fit this definition. Therefore, the correct answer is 'Prime'.

Tags

CCSS.4.OA.B.4

A number is _______ if it has more than 2 factors.

• Composite

• Prime

• Even

• Odd

Answer explanation

A number is composite if it has more than two factors, meaning it can be divided by numbers other than 1 and itself. In contrast, a prime number has exactly two factors. Therefore, the correct answer is composite.

Tags

CCSS.4.OA.B.4

The _______ is the number or variable that is repeatedly multiplied.

• Exponent

• Variable

• Base of Power

• Multiple

Answer explanation

The base of power is the number or variable that is multiplied by itself. In expressions like a^n, 'a' is the base, while 'n' is the exponent. Therefore, the correct answer is 'Base of Power'.

Tags

CCSS.6.EE.A.1

The _______ of two whole numbers is the largest whole number that is a factor of both numbers.

• Greatest Common Factor

• Least Common Multiple

• Base of Power

• Distributive Property

Answer explanation

The Greatest Common Factor (GCF) of two whole numbers is the largest whole number that divides both numbers without leaving a remainder. It is the correct term for the definition provided in the question.

An ______ is any symbolic mathematical form that may include constants, variables, and operators.

• Equation

• Expression

• Exponent

• Exterior Angle

Answer explanation

An expression is a symbolic mathematical form that can include constants, variables, and operators. Unlike an equation, which states a relationship between two expressions, an expression itself does not include an equality sign.

Tags

CCSS.6.EE.A.2B

A _______ is a whole number that is a factor of two or more integers or expressions.

• Common Factor

• Common Multiple

• Common Denominator

• Common Tangent

Answer explanation

A common factor is a whole number that divides two or more integers without leaving a remainder. It is the correct choice as it directly relates to factors of integers, unlike the other options.

Tags

CCSS.4.OA.B.4

A ______ is a multiple that is shared by two or more integers or expressions.

• Common Denominator

• Common Factor

• Multiplication

• Common Multiple

Answer explanation

A common multiple is a number that is a multiple of two or more integers. It is the correct term for a shared multiple, distinguishing it from a common factor, which refers to shared divisors.

Tags

CCSS.4.OA.B.4

The _______ of two whole numbers is the smallest whole number that is a multiple of both numbers.

• Least Common Multiple

• Greatest Common Factor

• Least Common Multiple

• Distributive Property

Answer explanation

The Least Common Multiple (LCM) of two whole numbers is the smallest whole number that is a multiple of both numbers. This makes 'Least Common Multiple' the correct answer, as it directly defines the concept in the question.