addendA number included to one or more numbers to form a sum.
addition building of 0The sum of any kind of number and 0 is same to the number. The number 0 is often referred to as the additive identity.

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amountIn a percent problem, the section of the whole equivalent to the percent.
associative legislation of additionFor three or more numbers, the amount is the same regardless of how you team the numbers. For example, (6 + 2) + 1 = 6 + (2 + 1).
associative legislation of multiplication

For 3 or much more numbers, the product is the very same regardless of just how you group the numbers. Because that example, 3 • (5 • 7) = 3 • (5 • 7).

In a percent problem, the base represents how much should be considered 100% (the whole); in exponents, the basic is the value that is raised to a power when a number is composed in exponential notation. In the instance of 53, 5 is the base.

capacityThe lot of liquid (or other pourable substance) that an object can hold when it"s full.

A measure of temperature generally used in nations that usage the metric system. On the Celsius scale, water freezes at 0° C and also boils in ~ 100° C.

common denominatorA number the is a many of all of the platform in a team of fractions.
commutative law of additionTwo numbers deserve to be added in any kind of order without an altering the sum. For example, 6 + 4 = 4 + 6.
commutative regulation of multiplication

Two numbers deserve to be multiply in any type of order without an altering the product. Because that example, 8 • 9 = 9 • 8.

Raising a number to a power of 3. 23 is read “2 to the third power” or “2 cubed,” and method use 2 as a aspect three time in the multiplication. 23 = 2 • 2 • 2 = 8.

cupA unit of capacity equal to 8 fluid ounces.
decimal fractionsA portion written together a decimal point and digits to the ideal of the decimal point
decimal numberDecimal numbers are numbers whose location value is based upon 10s, including whole numbers and also decimal fractions, which have decimal points and also digits to the ideal of the decimal point. The number 18, 4.12 and also 0.008 are all decimal numbers.
denominatorThe bottom number of a fraction that tells how many equal parts are in the whole.
differenceThe amount that outcomes from subtracting one number native another, or from subtracting the subtrahend indigenous the minuend.
digitOne that the signs 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9.
distributeTo rewrite the product the the number and a sum or distinction using the distributive property.
distributive building of multiplication over additionThe product the a number and a amount is the same as the amount of the product the the number and each that the addends comprising the sum. Because that example, 3(4 + 2) = 3(4) + 3(2).
distributive property of multiplication over subtractionThe product of a number and also a difference is the same as the distinction of the product that the number and each of the numbers being subtracted. For example, 8(10 – 2) = 8(10) – 8(2).
divisibility testA dominion that tells quickly whether separating a number by an additional number deserve to be done without leaving a remainder.

Can be divided by a number there is no leaving a remainder. Because that example, 20 is divisible through 4 since 20 ÷ 4 = 5 (no remainder).

The number that is being divided into the dividend in a division problem. In the trouble 8 ÷ 2 = 4, 2 is the divisor.

equationA mathematical sentence that mirrors that 2 expressions room equal.
equivalent fractionsTwo or more fractions that name the same part of the whole.
estimateAn answer to a difficulty that is close to the precise number, but not have to exact.
even numberA totality number that is divisible by 2.
expanded form

A method to compose a number as a sum of the worth of its digits. For example, thirty-two is written in expanded form as 30 + 2, or 3 tens + 2 ones, or (3 • 10) + (2 • 1).

The number that indicates how countless times the base is provided as a factor. In the example of 53, 3 is the exponent and method that 5 is provided three times as a factor: 5 • 5 • 5.

A notation the represents repeated multiplication using a base and an exponent. Because that example, 24 is notation that method 2 • 2 • 2 • 2. This notation tells you that 2 is provided as a factor 4 times. 24 = 16. (Also dubbed exponential form.)


A math phrase. For example, 8 • 2 + 3 is an expression. It to represent the quantity 19.


A number the is multiply by one more number or numbers to obtain a product. Because that example, in the equation 4 • 5 = 20, 4 and also 5 space factors.

factor brand methodOne method of convert a measurement native one unit of measure up to an additional unit of measurement. In this method, you main point the initial measurement by unit fractions containing various units of measurement to acquire the new unit of measurement.
factor pair

A pair of numbers whose product is a given number. For example, 2 and 15 space a aspect pair that 30 due to the fact that 2 •15 = 30. Both 2 and 15 are components of 30.

factor treeA diagram showing how a number have the right to be written as factors, and also those components written together a product the factors, and so ~ above until just prime numbers are used.

A measure of temperature commonly used in the joined States. Top top the Fahrenheit scale, water freezes at 32° F and also boils at 212° F.

A unit of volume equal to

 of a cup. One liquid ounce of water in ~ 62°F weighs around one ounce.

footA unit because that measuring length in the U.S. Customary measurement system. 1 foot = 12 inches
fractionAn expression supplied to refer to a part of a whole.
gallonA unit equal to 4 quarts, or 128 liquid ounces.
gramThe base unit of mass in the Metric system.
grouping symbolsSymbols such together parentheses, braces, brackets, and fraction bars that show the numbers to be grouped together.
improper fractionA fraction in i beg your pardon the molecule is same to or better than the denominator.
inchA unit because that measuring length in the U.S. Customary measure up system. 1 foot = 12 inches
inequalityA math sentence that compares two numbers that are not equal.
inverse operationA mathematical procedure that have the right to reverse or “undo” another operation. Enhancement and subtraction space inverse operations. Multiplication and department are inverse operations.
least usual denominator(LCD) The least, or smallest, number that is a lot of of all the denominators in a group of fractions.
least usual multiple(LCM) The least, or smallest, number the is a lot of of 2 or an ext numbers.
lengthThe street from one finish to the various other or the distance from one allude to another.
like denominatorsDenominators that are the same.
literThe basic unit of volume in the Metric system.
lowest termsA fraction is in lowest state if the numerator and also denominator have no typical factors various other than 1.
measurementThe use of traditional units to find out the size or amount of items such as length, width, height, mass, weight, volume, temperature or time.
meterThe basic unit of length in the Metric system.
metric systemA extensively used device of measurement that is based upon the decimal system and multiples that 10.
mileA unit for measuring size in the U.S. Customary measure up system. 1 mile = 5,280 feet or 1,760 yards.
minuendThe number native which an additional number is subtracted.
mixed number

An expression in which a totality number is an unified with a appropriate fraction. For instance 5


is a mixed number.

multipleAny number that has actually a offered number together a factor. Because that example, 4, 8, 16, and 200 space multiples the 4, because 4 is a element of every of these numbers.
multiplication home of 1The product of any number and also 1 is equal to that number. The number 1 is often referred to as the multiplicative identity.
natural numberThe number 1, 2, 3, 4 and so on. Likewise called counting numbers.
numeratorThe top number of a portion that speak how numerous parts that a totality are being represented.
operationA mathematics process; the four simple operations are addition, subtraction, multiplication, and division.
order that operationsThe rule that recognize the sequence of calculations in an expression with an ext than one form of computation.
ounceA unit for measuring weight in the U.S. Customary measurement system. 16 ounces = 1 pound.
percentA proportion that compares a number come 100. “Per cent” method “per 100,” or “how many out the 100.”
perfect square

A whole number that deserve to be expressed together a whole number elevated to a power of 2. For example, 25 is a perfect square due to the fact that 25 = 5 • 5 = 52.

perimeterThe distance about a two-dimensional shape.
periodEach team of 3 digits in a number be separated by a comma.
pintA unit of volume equal come 16 fluid ounces, or 2 cups.
place valueThe worth of a digit based on its position within a number.
place-value chartA graph that mirrors the worth of each digit in a number.
polygonA closed airplane figure bounded by 3 or an ext line segments.
poundA unit because that measuring weight in the U.S. Customary measurement system. 16 ounces = 1 pound.
power the 10

Any totality number that deserve to be represented by 10x. The very first four powers of 10 space 1, 10, 100, and also 1000.

prefixA short collection of letter that represent the size of measurement systems in the Metric System. Metric prefixes encompass centi-, milli-, kilo-, and also hecto-.
prime factorizationA number composed as the product that its prime factors.
prime numberA herbal number with exactly two factors: 1 and also the number itself.
proper fractionA portion in which the numerator is much less than the denominator.
proportionAn equation that states that two ratios are equal.
quartA unit of capacity equal to 32 fluid ounces, or 4 cups.

The symbol used for square root and other roots. That looks favor

 and the number is written under it. For example, the square source of ripe is written with the radical sign:

When a base has actually an exponent, it can be said that the base is “raised to the power” that the exponent. Because that example, 35 is read as “3 increased to the fifth power.”

rateA proportion that compares quantities measured in different units. For example, a rate compares the street traveled to a length of time.
ratioA compare of 2 numbers through division. Because that example, the ratio of 15 boys in a class to 14 girls in the same course is 15:14.

A number that once multiplied through a given number provides a product that 1. Because that example,

 are reciprocals of each other.

roundingFinding a number that’s close come a given number, yet is less complicated to think about.
simplest formA fraction is in simplest form if the numerator and also denominator have actually no usual factors various other than 1.
square root

A worth that can be multiply by itself to provide the initial number. For example if the original number is 9, then 3 is the square root due to the fact that 3 multiply by itself (32, express "3 squared") amounts to 9. The symbol supplied for a square source is called a radical sign and also goes on peak of the number. The square source of 9 is composed as


Multiplying a number by itself, or raising the number to a strength of 2. 82 can be read as “8 to the 2nd power,” “8 to a strength of 2,” or “8 squared.”

standard formA means to write a number using digits. For example, thirty-two is composed in standard type as 32.
subtrahendThe number that is subtracted from another number.
sumThe result when 2 or more numbers space added; the amount that outcomes from addition.
tonA unit for measuring the weight of more heavier items in the U.S. Customary measure system. 1 ton = 2,000 pounds.
trailing zeroA placeholder 0 the occurs after ~ the final non-0 digit in a decimal number. In the number 22.0900, the 0s in the thousandths and also ten-thousandths areas are trailing zeros.
U.S. Customary measure systemThe most common system that measurement used in the unified States. The is based upon English measurement solution of the 18th century.
unit equivalentsStatements the equivalence between measurement devices within a system or in comparison to another system the units. For instance 1 foot = 12 customs or 1 customs = 2.54 centimeters room both instances of unit equivalents.
unit fractions

A fraction where the numerator and also denominator space equal amounts, as in

. Unit fractions offer to assist with conversions in the variable Label method.

unit of measurementA typical amount or quantity. Because that example, an inch is a unit of measurement.
unit priceA price in i m sorry the quantity is expressed together one unit. If 12 liquid bars price $24, the unit price is $2 every 1 candy bar.
unit rateA price in i beg your pardon the second quantity is one unit. If a bird flaps its wings 240 times in 3 minutes, the unit price of soup flapping is 80 flaps per 1 minute.
unlike denominators

Denominators that are different from every other. For instance the fountain

 have different denominators, one denominator being 4 and also the other denominator gift 8.

weightA mathematical description of how heavy an object is.

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whole numberAny of the numbers 0, 1, 2, 3, and also so on.
yardA unit because that measuring size in the U.S. Customary measure up system. 1 yard = 3 feet or 36 inches.