Properties of Numbers

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1.3

• Properties of Numbers

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Properties Of Addition

• Commutative Property of Addition Changing the
  order of addends does not change the sum.
• 9 5 5 9
• Associative Property of Addition Changing the
  grouping of addends does not change the sum.
• (9 5) 4 9 (5 4)
• Identity Property of Addition The sum of 0 and
  any number is that number.
• 0 9 9

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Properties of Multiplication

• Commutative Property of Multiplication Changing
  the order of factors does not change the product.
• 4 x 6 6x 4
• Associative Property of Multiplication Changing
  the grouping of factors does not change the
  product.
• (4 x 6) x 2 4 x (6 x 2)
• Identity Property of Multiplication The product
  of 1 and any number is that number.
• 4 x 1 4

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Example 1

• Use mental math to find the total number of books
  in a carton that contains 43 math books, 15
  history books, and 57 science books.

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Example 1 Answer

• 115 books

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Example 2

• Use mental math to find 2 x 17 x 50

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Example 2 Answer

• 1,700