Math (Number and Quantity)

Power Of A Product Property

(x·y)a = xa · ya illustrates which property of exponents?

Power Of 10

A ____ ____ ____ is any of the integer powers of the number ten. (3 words)

Root

A _____ is a number that makes an equation true.

Multiple

A ______ of a number is that number times any whole number.

Scalar

A ________ is a real number, as distinguished from a vector, which is an ordered pair or triple.

Place

A digit's ________ value is the value it signifies when written as part of a number.

Complex Fraction

A fraction which contains fractions in the numerator or denominator is called a ____ ____.

Square Matrix

A matrix that has the same number of rows as columns.

Fraction

A number between 0 and 1, expressed as one number over another, is called a ___.

Positive Number

A number greater than 0 is called ____.

Negative Number

A number less than 0 is called ______.

Rational Number

A number that can be written as a fraction of two integers is called a ___ number. It has a decimal representation that terminates or repeats.

Imaginary

A number that is the square root of a negative number is called ___.

Factor

A number which divides evenly into a given number is called a ___ of that number.

Perfect Square

A number whose square roots are integers or quotients of integers.

Conjugate Pair

A pair of complex numbers who have the same real and imaginary parts, but the imaginary parts have opposite signs. Their products are a nonzero real number.

Composite

A positive number with divisors besides 1 and itself is called ________.

Vectors

A quantity with magnitude and direction that are usually drawn as arrows.

Multiples

A set of numbers in which each number is evenly spaced from the next number is a called consecutive _____.

Pattern

A set of numbers which are related to each other in a specific way are said to follow a _____.

Digit

A single number between 0 and 9, occurring either alone or in a larger number, is called a ____.

Per

A three-letter word used to show division in a word problem.

Rounding

A way to make an approximation to a given number by using fewer digits is called ____.

Operations

Addition, subtraction, multiplication, and division are all called ____.

Rational Exponents

An exponent which is a fraction is called a ______ exponent.

Radical Expression

An expression containing a square (or higher) root is called a _____ expression.

Element Of A Matrix

Each number contained in the matrix.

Equivalent

Expressions that simplify to the same expression are called ____.

Numerator

In a fraction, this is the number above the fraction bar.

Denominator

In a fraction, this is the number under the fraction bar.

Period

In place value, a ______ is each group of three digits separated by commas in a multidigit number.

Base

In x3, x is called the _____.

Complex Numbers

Numbers that consist of a real part and an imaginary part. They are in the form a + bi where a is the real part and bi is the imaginary part.

Ascending Order

Ordering numbers from least to greatest means putting them in _____ order.

Matrix Arithmetic

Performing addition, subtraction, and scalar multiplication of matrices.

Borrow

Sometimes, when subtracting, we have to __________ in order to be able to take a bottom digit of greater value away from a top digit of lesser value.

Solution

The RESULT of solving an equation is called the ____.

Product Of Powers

The ____ of Powers property allows you to rewrite xa· xb as xa + b.

Associative

The ____ property allows you to regroup terms when adding or multiplying, without changing the answer.

Zero Matrix

The _________ matrix of a given dimension is the matrix of that size with 0 as every entry.

Dimension

The _________ of a matrix is usually written as "m x n", where m is the number of rows and n is the number of columns.

Deductive Reasoning

The conclusion is reached based on the facts, definitions, rules, properties, postulates and theorems.

Whole

The counting numbers, together with 0, are called the _____ numbers.

Absolute Value

The distance between 0 and the point representing the real number.

Distance Formula

The formula used to find the length between two points in a coordinate plane.

Distance

The formula used to find the length of a line segment in space.

Rows

The horizontal entries in a matrix.

Greatest Common

The largest factor that two numbers share is called the _____ _____ factor.

Radicand

The number or expression inside a radical symbol.

Power

The number to which a base is raised to is called the ___. This tells you how many times to multiply the base together.

Entries

The numbers in a matrix are called this.

Coordinates

The pair of numbers giving the location of a point are called its ___.

Power

The property that allows you to multiply the exponents, (xa)b = xab, is called the ____ of a power property.

Commutative Property

The property that says you can add or multiply numbers in any order, without changing the answer, is called the ____ Property.

Inductive Reasoning

The reasoning process that involves looking for patterns and making a conjecture.

Sum

The result after adding a set of numbers or algebraic expressions is called a ___.

Product

The result after multiplying a set of numbers or algebraic expressions is called the ___.

Negative Exponent

The rule which allows us to change the sign of an exponent is called the ____ rule.

Real Numbers

The set of all numbers, including all rational and irrational numbers.

Least Common Multiple

The smallest multiple that two numbers have in common is called their ____.

Radical Sign

The symbol for a square root is called the ______ sign.

Columns

The vertical entries in a matrix.

Irrational Numbers

These are numbers that cannot be written as fractions, numbers with decimals that do not end or repeat.

Integers

These numbers are either whole numbers, or the negatives of whole numbers. They are called ______.

Plane

This is a flat surface extending in all directions.

Improper

This is a fraction in which the numerator is larger than the denominator.

Number Line

This is a line representing the set of all real numbers.

Prime Number

This is a number greater than one, which can only be divided by itself and one.

Decimal

This is a number system which uses a base of 10. The valid digits are 0 to 9.

Common Factor

This is a number that can be divided out of each term in an expression.

Odd Number

This is a number which yields a remainder of 1 when divided by 2.

Even Number

This is a number which yields no remainder when divided by 2.

Coordinate Plane

This is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is verti, The intersection of the two axes is called the origin.

Matrix

This is a rectangular arrangement of numbers written between brackets.

Scientific Notation

This is a shorthand way of writing very large or very small numbers, in which a number is expressed as a number between 1 and 10, times 10 raised to an exponent. It is called ____ notation.

Mixed Number

This is a whole number followed by a proper fraction.

Complex Addition

This is addition of complex numbers. You add the real parts together and the imaginary parts together.

X-Axis

This is the horizontal axis in a coordinate graph.

Imaginary Unit

This is the i part of a complex number. It represents the square root of -1.

Pythagorean Theorem

This is the mathematical relation relating the three sides, a, b, c, of a right triangle.

Remainder

This is the number left over when you divide one number into another number.

Percent

This is the number of parts out of 100, the numerator of a fraction where the denominator is 100.

Multiplication

This is the operation used for the following terms: times, product, twice, etc.

Exponent

This is the power to which a number is raised, or the number of times it is multiplied by itself.

Scalar Multiplication

This is the process of multiplying all entries in a matrix or vector by a single number to get a new matrix.

Conclusion

This is the second part of a conditional statement.

Line

This is the straight path connecting two points and extending infinitely in both directions.

Y-Axis

This is the vertical axis in a coordinate graph.

Reduce

This is what we do to a fraction to get it into lowest terms.

Expanded Form

This is when an exponent is written using multiplication.

Distributive Property

This property says you can rewrite 3 x (4 + 5) as (3 x 4) + (3 x 5).

Parity

This term refers to the result of dividing a number by 2. In other words, it describes whether the number is even or odd.

Distance

To calculate this, multiply rate by time.

Lowest

We reduce a fraction to get it into ___ terms.

Divisible

We say a number is __________ by another number if, when you divide them, there is no remainder.

Prime Factorization

When a composite number is written as a product of prime numbers we call this its ___ ___. (2 words)

Regroup

When adding two numbers whose sum is greater than 10, you must ____ by adding one to the column to the left.

Complex Multiplication

When you multiply (a + bi)(c + di) you are doing _____ multiplication.

Quotient

xa/xb = x(a-b). This is the _____ of powers property.