# Transcribed Image Text: The column-by-column addition of numbers can be justified as follows. State the property of the whole numbers that

Excerpt
property ofmultiplication Associative Property of multiplication Multiplicative identity property Distributive property of multiplication over addition (a) (b) 3 (c) 4 (d) 5 (e) 7 (f) (g) (a) expanded notation (f) (h) (b) (g) = 79 (i) (c) (h) addition facts (d) (i) expanded notation (e)

Transcribed Image Text: The column-by-column addition of numbers can be justified as follows. State the property of the whole
numbers that justifies each of these steps. We begin with expanded notation.
State the property of the whole numbers that justifies each step. The properties are shown in the
table below.
56 + 23 = (5• 10 + 6) + (2 • 10 + 3)
= 5• 10 + [6 + (2•10 + 3)]
= 5• 10 + [(6 + 2• 10) + 3]
= 5• 10 + [(2• 10 + 6) + 3]
= 5• 10 + [2 • 10 + (6 + 3)]
= (5• 10 + 2• 10) + (6 + 3)
= (5 + 2) • 10 + (6 + 3)
= 7•10 +9
Commutative property ofmultiplication
Associative Property of multiplication
Multiplicative identity property
Distributive property of multiplication over addition
(a)
(b)
3
(c)
4
(d)
5
(e)
7
(f)
(g)
(a)
expanded notation
(f)
(h)
(b)
(g)
= 79
(i)
(c)
(h)