Properties of Addition & Multiplication
Mathematics, Grade 9
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Addition Properties Property of Multiplication & Addition Multiplication Properties • Addition and multiplication properties help us solve basic algebraic equations. Property Description Formula Example Property Description Formula Example 6 + 4 = 4 + 6 8 + 0 = 8 You can add numbers in any order without changing their sum. The sum of any number and zero is equal to that number. You can group any of the numbers together without changing their sum. Associative (grouping) Identity Property of Zero Property Description Formula Example Property Description Formula Example You can add the numbers inside the parentheses first and then multiply, or multiply each number in the sum and then add. Property Description Formula Example Property Description Formula Example You can multiply numbers in any order without changing their sum. You can group any of the numbers together without changing their product. The product of any number and one is equal to that number. The product of any number and zero is zero. Associative (grouping) Identity Property of One Property of Zero Distributive a x b = b x a 9 x 6 = 6 x 9 a x 1 = a 4 x 1 = 4 a x 0 = 0 3 x 0 = 0 a + b = b + a a + 0 = a © Copyright NewPath Learning. All Rights Reserved. 93-4601 www.newpathlearning.com Properties of Addition & Multiplication
Addition Properties Property of Multiplication & Addition Multiplication Properties • Addition and multiplication properties help us solve basic . Property Description Formula Example Property Description Formula Example Associative (grouping) Identity Property of Zero Property Description Formula Example Property Description Formula Example Property Description Formula Example Property Description Formula Example Associative (grouping) Identity Property of One Property of Zero Distributive Key Vocabulary Terms • algebraic equation • distributive • associative property • identity property • commutative property of zero © Copyright NewPath Learning. All Rights Reserved. 93-4601 www.newpathlearning.com Properties of Addition & Multiplication \|xiBAHBDy01682tz]
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