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 properties are shown in the table below. with expanded notation. State the property of the whole numbers that justifies each step. The 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 1 32 + 42 = (3• 10 + 2) + (4 • 10 + 2) (a) 3 = 3•10 + [2 + (4 • 10 + 2)] = 3• 10 + [(2 + 4 •10) + 2] = 3•10 + [(4 • 10 + 2) + 2] (b) (c) (d) (e) (f) 4 5 6 7 = 3•10 + [4 • 10 + (2 + 2)] = (3• 10 + 4•10) + (2 + 2) (a) expanded notation (f)
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 properties are shown in the table below. with expanded notation. State the property of the whole numbers that justifies each step. The 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 1 32 + 42 = (3• 10 + 2) + (4 • 10 + 2) (a) 3 = 3•10 + [2 + (4 • 10 + 2)] = 3• 10 + [(2 + 4 •10) + 2] = 3•10 + [(4 • 10 + 2) + 2] (b) (c) (d) (e) (f) 4 5 6 7 = 3•10 + [4 • 10 + (2 + 2)] = (3• 10 + 4•10) + (2 + 2) (a) expanded notation (f)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 4SGR
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Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Question
![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 properties are shown in the table below.
with expanded notation.
State the property of the whole numbers that justifies each step. The
Commutative property of addition
Associative property of addition
Additive-Identity property of zero
Commutative property ofmultiplication
Associative Property of multiplication
6 Multiplicative identity property
7 Distributive property of multiplication over addition
1
2
32 + 42 = (3• 10 + 2) + (4 • 10 + 2)
= 3• 10 + [2 + (4 • 10 + 2)]
= 3• 10 + [(2 +4• 10) + 2]
(a)
(b)
3
4.
(c)
(d)
(e)
= 3•10 + [(4 • 10+ 2) + 2]
= 3• 10 + [4 • 10 + (2 + 2)]
= (3• 10 + 4• 10) + (2 + 2)
(f)
(a)
expanded notation
(1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81154e95-cba6-43a4-910c-0938cea78719%2F5e0f9db8-076b-4163-b162-a55ab7bd42c6%2F2xexynb_processed.png&w=3840&q=75)
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 properties are shown in the table below.
with expanded notation.
State the property of the whole numbers that justifies each step. The
Commutative property of addition
Associative property of addition
Additive-Identity property of zero
Commutative property ofmultiplication
Associative Property of multiplication
6 Multiplicative identity property
7 Distributive property of multiplication over addition
1
2
32 + 42 = (3• 10 + 2) + (4 • 10 + 2)
= 3• 10 + [2 + (4 • 10 + 2)]
= 3• 10 + [(2 +4• 10) + 2]
(a)
(b)
3
4.
(c)
(d)
(e)
= 3•10 + [(4 • 10+ 2) + 2]
= 3• 10 + [4 • 10 + (2 + 2)]
= (3• 10 + 4• 10) + (2 + 2)
(f)
(a)
expanded notation
(1)
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