What property of the whole numbers justifies each step in this calculation? 16 +

Question

What property of the whole numbers justifies each step in this calculation? 16 + 7 = (10 + 6) + 7 = 10 - 7 + 6 - 7 = 10 + 7 + 42 = 10 - 7 + (4 + 10 + 2) = 7 + 10 + (4 - 10 + 2) = (7 - 10 + 4 - 10) + 2 = (7 + 4) - 10 + 2 = (11) + 10 + 2 = 112 expanded notation (a)_____ one-digit multiplication fact expanded notation (b)_____ (c)____ (d)___ one-digit addition fact expanded notation (a) What property of the whole numbers justifies the second step? A. The commutative property of multiplication B. The associative property of multiplication. C. The multiplication identify property of one D. The distributive property of multiplication over addition (b) What property of the whole numbers justifies the fifth step? A. The distributive property of multiplication over addition B. The associative property of addition C. The commutative property of multiplication D. The closure property of multiplication (c) What property of the whole numbers justifies the sixth step

Explanation / Answer

Answer :

(a) in second step we use the distributive property of multiplication over addition

(b) in fifth step we use the commutative property of multiplication

(c) In sixth step we use the associative property of addition

(d) In seventh step we use the ditributive property of multiplication over addition

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