Unit 4 Vocabulary Properties of Algebraic Notation Expression

Unit 4 Vocabulary Properties of Algebraic Notation

Expression • One or more numbers, variables, or numbers and variables with one or more operations. a+1 a-b 3 x 10 - 8/ b

Equation • A statement that two expressions are equal. It has an equal sign. X+2=6

Term • a number, variable, product, or quotient in an expression. Each term is separated by an operation sign.

Simplify • To combine like terms and perform operations until all terms have been combined.

Identity Property • The product of 1 and any number equals that number.

Distributive Property • You can multiply a sum by a number, or multiply each addend by the number and ad the products, to get the same result.

Commutative Property • Changing the order of the addends/factors does not change the sum/product. (Only works for addition and multiplication)

Associative Property • Grouping the addends/factors in different ways does not change the sum/product. • (Only works for addition and multiplication)

Order of Operations: • When more than one operation is present. • Remember: PEMDAS (Please Excuse My Dear Aunt Sally) • Parenthesis • Exponents • Multiply • Divide • Add • Subtract • Operations inside parenthesis are performed first. • Then multiply and divide from left to right. • Then add and subtract from left to right.

Prime number • Any number whose only factors are 1 and itself. Ex. 2, 13, 17

Composite Number • A whole number that has more than two factors. • Ex. 4, 8, 81

Factors • Two or more numbers that can be multiplied together to make a product. 4 x 3 =12

Multiples • A number that is the product of itself and any whole number • Ex. The first five multiples of 3 : • 3 x 1 = 3 so 3 is a multiple of 3 • 3 x 2 = 6 so 6 is a multiple of 3 • 3 x 3 = 9 so 9 is a multiple of 3 • 3 x 4 = 12 so 12 is a multiple of 3 • 3 x 5 = 15 so 15 is a multiple of 3