Strategies For Using Math Basic Operations Worksheets

What Are the Properties of Math Operations? Commutative Property- The commutative property is when changing the order of the operands does not affect the result. It is a property that is applicable in addition and multiplication problems. The position of the operands can be changed, and the result will be the same. 2 + 3 = 5 , 2 x 3 = 6 When you change the place of the addends and factors; 3 + 2 = 5 , 3 x 2 = 6 The result remains the same. Associative Property - When there is multiplication or an addition expression that contains more than one occurrence, the order in which the operations are performed does not matter. The result will be the same as long as the sequence of the operands stays the same. 2 + (3+5) = 10 Re-arranging the addends; (2+3) + 5 = 10, the answer remains the same. 2 x (3x5) = 30 Re-arranging the factors; (2x3) x 5 = 30, the answer remains the same. Distributive Property- The distributive property applies to expressions that contain both addition and multiplication. The parenthesis can be removed if the number multiplied by a sum is individually multiplied by each digit in the sum. 2 x (3+5) = 2 x 3 + 2 x 5 The property remains valid regardless of how many terms are there in the sum. Identity Element- Identify elements are neutral elements that do not affect the other elements when combined with them. Addition- For addition, the identity element is 0, 2 + 0 = 2 Multiplication- For multiplication, the identity element is 1, 2 x 1 = 2. These are the most common properties for arithmetic problems that help in solving the sums and getting the right answers.

Aligned Standard: Grade 3 Operations - 3.OA.5