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EMC 1 - Integers & Order of Operations

Vocabulary words students in N-MUSD are expected to know. The first sets concern math. In particular, the Essential Math Concepts, identified by CUSD.

AB
absolute valueThe distance from a point on the number line to zero, or the value of any number ignoring its sign (The makes the number positive.).
associative propertyThe property which states that for all real numbers a, b, and c, their sum or product is always the same, regardless of their grouping: (a+b)+c=a+(b+c), (ab)c=a(bc).
baseA side of a polygon or a face of a solid figure by which the figure is measured. A height or altitude intersects the base.
commutative propertyThe property which states that two or more addends can be added or that two or more factors can be multiplied in any order without changing the sum or product.
differenceThe amount by which one value is greater or smaller than another.
distributive propertyThe property which states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products: a(b+c)=ab+ac.
evaluateFind what a math expression equals, often by substituting a value for a variable: 3x7=21 or 8y=?, y=4, 8x4=32.
exponentThe number that indicates how many times the base is used as a factor: 4 X 4 X 4 = 4 cubed, 4 is the base; 3 is the exponent.
identity propertyThe property which states that multiplying a number by 1 does not change the number's value: 6 X 1 = 6, 1 x a = a, 3 x 2/2 = 6/2.
increased byIf you increase a value by an amount or number, it becomes bigger by that amount or number.
integerThe set of whole numbers and their opposites: 8, -23, 14/2.
less thanA number to the left of another number on the number line: 6<8. The symbol is also called less than.
more thanA number to the right of another number on the number line. 8>6. The symbol is also called more than.
numerical expressionA mathematical phrase that includes only numbers and operation symbols: 60+25, 42÷7+5.
order of operationsThe order in which the multiplication, division, addition, and subtraction are done within an expression when evaluating it.
PEMDASIn the order of operations, working left to right repeatedly: Parentheses, Exponents; then Multiplication, Division; then Addition, Subtraction.
powerThe value of a number represented by a base and an exponent or simply the expression formed by a base and exponent.
productThe result after numbers and/or variables are multiplied: 7x9=63, 9x7y=63y.
quotientThe result after numbers and/or variables are divided: 7÷2=7/2, 8y÷2=4.
simplifyThe result of either combining like terms in an expression: 4y+3y+2=7y+2 or using the property of a/a=1 to reduce a fraction so that no common factor exists in both the numerator and denominator: 18/21=6/7.
sumThe result after numbers and/or variables are added: 13+2=15, 3y+34y=37y.
totalAnother name for sum. Often used for more than one adden: 8+9+23+17=57.
variable expressionAn expression that uses one or more letters to represent one or more numbers: 8y, -2yz+3z.
whole numberThe set of natural numbers and 0, {0, 1, 2, 3, . . .}.
zero propertyAdding zero to a number does not change the number's value: 0+7=7, 0+11y=11y.


Math & Science Teacher
Estancia High School
Costa Mesa, CA

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