Context for Mathematics: Numbers and Operations

Question 1

Basic building blocks of mathematics

Answer 1

Numbers

Question 2

Any positive or negative whole number, including zero. Does not include fractions, decimals, or mixed numbers.

Answer 2

Integer

Question 3

Any whole number greater than 1 that has only two factors, itself and 1; that is, a number that can be divided evenly only by 1 and itself.

Answer 3

Prime number

Question 4

Any whole number greater than 1 that has more than two different factors.

Answer 4

Composite Number

Question 5

A number system that uses ten different digits.

Answer 5

Decimal
Base Ten Systems

Question 6

Includes all integers, decimals, and fractions, including any terminating or repeating decimal number, that can be represented as a ratio.

Answer 6

Rational Number

Question 7

Cannot be written as fractions or decimals because decimal place is infinite and there is no recurring pattern.

Answer 7

Irrational Numbers

Question 8

The set of all rational and irrational numbers.

Answer 8

Real numbers

Question 9

A mathematical process that takes some value(s) as input(s) and produces and output.

Answer 9

Operation

Question 10

Each quantity in addition.

Answer 10

Addends

Question 11

The result of addition.

Answer 11

Sum

Question 12

The quantity that is decreased by the subtrahend in subtraction.

Answer 12

Minuend

Question 13

The minuend is decreased by this quantity in subtraction.

Answer 13

Subtrahend

Question 14

The result of subtraction.

Answer 14

Difference

Question 15

Indicates how many times to add the multiplicand to itself in multiplication.

Answer 15

Multiplier

Question 16

The multiplier indicates how many times to add this quantity to itself.

Answer 16

Multiplicand

Question 17

The result of multiplication

Answer 17

Product

Question 18

Th quantity that tells us how many parts to divide the dividend into

Answer 18

Divisor

Question 19

The divisor tells us how many times to divide this quantity into.

Answer 19

Dividend

Question 20

The result of division.

Answer 20

Quotient

Question 21

Designate which operations should be done first when there are multiple operations.

Answer 21

Parentheses

Question 22

A superscript number placed next to another number at the top right. Indicates how many times the base number is to be multiplied by itself.

Answer 22

Exponents

Question 23

Another way of writing a fractional exponent. Uses a radical symbol.

Answer 23

Roots

Question 24

Any number to the power of 1 is equal to itself.

a^1 = a

Answer 24

Identity Exponent Rule

Question 25

Any number raised to the power of 0 is equal to 1.

a^0 = 1

Answer 25

Zero Exponent Rule

Question 26

Add exponents to multiply powers of the same base number.

a^m x a^n = a^m+n

Answer 26

Product Rule of Exponents

Question 27

Subtract exponents to divide powers of the same number.

a^m / a^n = a^m-n

Answer 27

Quotient Rule of Exponents

Question 28

When a power is raised to a power, the exponents are multiplied.

(a^m)^n = a^(m x n)

Answer 28

Power of a Power Rule of Exponents

Question 29

Multiplication and division operations inside parentheses can be raised to a power. This is the same as each term being raised to that power.

(a x b) ^ m = a^m x b^m
(a / b) ^ m = a^m / a^b

Answer 29

Power of a Product/Quotient Rule of Exponents

Question 30

A negative exponent is the same as the reciprocal of a positive exponent.

a^-n = 1/a^n

Answer 30

Negative Exponent Rule

Question 31

Numbers that are multiplied together to obtain a product.

Answer 31

Factors

Question 32

A number that divides exactly into two or more other numbers.

Answer 32

Common Factor

Question 33

The largest number that is can divide exactly into two or more numbers.

Answer 33

Greatest Common Factor

Question 34

Integer increments of a given factor.

Answer 34

Multiples

Question 35

Smallest number that are integer increments of a given factor.

Answer 35

Least Common Multiple