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 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)

Need your ASSIGNMENT done? Use our paper writing service to score better and meet your deadline.


Click Here to Make an Order Click Here to Hire a Writer