Math 7 and 8 Vocabulary

Distance Problem
 d = rt                   distance = rate (mph) x time
Mary travels 3 mph for 5 hours. Write an equation to show how you would solve to find the distance Mary traveled.
(Use the distance formula)
d = r x t
d = 3 x 5
d = 15 miles



associative property of addition
Definition: changing the grouping of terms in a sum does not change the sum
Context: (9 + 4) + 3 = 9 + (4 + 3)

associative property of multiplication
Definition: changing the grouping of factors in a product does not change the product
Context: (7 x 3) x 2 = 7 x (3 x 2)

commutative property of addition
Definition: in a sum, you can add terms in any order
Context: 6 + 3 = 3 + 6

commutative property of multplication
Definition: in a product, you can multiply factors in any order
Context: 3 x 9 = 9 x 3

distributive property of multiplication over addition
Definition: multiplication may be distributed across addition
Context: 5 x (35 + 45) = (5 x 35) + (5 x 45)

identity property of addition
Definition: the sum of any number and zero is the number
Context: 9 + 0 = 9

identity property of multiplication
Definition: the product of any number and one is the number
Context: 7 x 1 = 7

order of operations
Definition: a set of rules for evaluating an expression with more than one operation
Context: The teacher told the students to observe the order of operations when solving expressions.