Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication Distributive Property of Multiplication over Addition Additive Inverse Multiplicative Inverse Use properties to justify steps: Example: Jane wants to find the sum: 3 + 12 + 17 + 28. She uses the following plus 17 is 20, and 12 logic, “3 plus 28 is 40. The sum of 20 and 40 is Why is this okay? The table below shows how to justify her 60.” thinking using properties for each step. Statement Step Justification 3 + 12 + 17 + 28 No change, this is where she started. This expression was given. 3 + 17 + 12 + 28 The 17 and the 12 traded places. Commutative Property of Addition Jane chose to add the numbers in pairs (3 + 17) + (12 + 28) first, which is like inserting parentheses. Associative Property of Addition Jane is now following the Order of 20 + 40 Jane found the sums in the parentheses. Operations. 60 3 + 12 + 17 + 28 = 60 Add, so . . . 1) The expression 3(x 4) + 12 has been written in five different ways. State the property that allows each – change.
Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication Distributive Property of Multiplication over Addition Additive Inverse Multiplicative Inverse Use properties to justify steps: Example: Jane wants to find the sum: 3 + 12 + 17 + 28. She uses the following logic, “3 plus 17 is 20, and 12 plus 28 is 40. The sum of 20 and 40 is 60.” Why is this okay? The table below shows how to justify her thinking using properties for each step. Statement Step Justification 3 + 12 + 17 + 28 No change, this is where she started. This expression was given. 3 + 17 + 12 + 28 The 17 and the 12 traded places. Commutative Property of Addition (3 + 17) + (12 + 28) Jane chose to add the numbers in pairs first, which is like inserting parentheses. Associative Property of Addition 20 + 40 Jane found the sums in the parentheses. Jane is now following the Order of Operations. 60 Add, so . . . 3 + 12 + 17 + 28 = 60 1) The expression 3(x – 4) + 12 has been written in five different ways. State the property that allows each change.
7-3-Student%20Workbook.docx