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

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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 of addition

Associative property of addition

Additive-Identity property of zero

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)

addition facts

(d)

(i)

expanded notation

(e)

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