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. Commutative property of addition Associative property of addition 3 1 35+ 32 = (3• 10 + 5) + (3 • 10 +2) = 3• 10 + [5 + (3• 10 + 2)] = 3•10 + [(5 +3• 10) + 2] = 3• 10 + [(3• 10 + 5) + 2] (a) Additive-Identity property of zero Commutative property ofmultiplication Associative Property of multiplication Multiplicative identity property 7 (b) (c) = 3• 10 + [3• 10 + (5 + 2)] = (3• 10 +3• 10) + (5 + 2) = (3 + 3) • 10 + (5 +2) = 6• 10 +7 Distributive property of multiplication over addition (a) expanded notation (f) (b) (6) = 67 (c) (h) addition facts (d) (i) expanded notation (e)
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. Commutative property of addition Associative property of addition 3 1 35+ 32 = (3• 10 + 5) + (3 • 10 +2) = 3• 10 + [5 + (3• 10 + 2)] = 3•10 + [(5 +3• 10) + 2] = 3• 10 + [(3• 10 + 5) + 2] (a) Additive-Identity property of zero Commutative property ofmultiplication Associative Property of multiplication Multiplicative identity property 7 (b) (c) = 3• 10 + [3• 10 + (5 + 2)] = (3• 10 +3• 10) + (5 + 2) = (3 + 3) • 10 + (5 +2) = 6• 10 +7 Distributive property of multiplication over addition (a) expanded notation (f) (b) (6) = 67 (c) (h) addition facts (d) (i) expanded notation (e)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 3CC
Related questions
Concept explainers
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Topic Video
Question
![Question Help ▼
to
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.
Commutative property of addition
Associative property of addition
3
1
35 + 32 = (3• 10 + 5) + (3 • 10 + 2)
2
(a)
(b)
= 3• 10 + [5+ (3• 10 + 2)]
= 3• 10 + [(5+3• 10) + 2]
= 3• 10 + [(3 • 10 + 5) + 2]
Additive-Identity property of zero
Commutative property ofmultiplication
Associative Property of multiplication
Multiplicative identity property
7
4
(c)
(d)
= 3• 10 + [3• 10 + (5 + 2)]
(e)
Distributive property of multiplication over addition
= (3• 10 +3• 10) + (5 + 2)
= (3+ 3) • 10 + (5 + 2)
= 6• 10 +7
(f)
(a)
expanded notation
(f)
(g)
(b)
(g)
(h)
= 67
(c)
(i)
(h)
addition facts
(d)
(i)
expanded notation
(e)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a2e75c9-05d5-4079-8d9c-312e21aa6166%2Fec4784b9-1653-459f-94f8-5808ce76a7f5%2Fnppyop9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question Help ▼
to
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.
Commutative property of addition
Associative property of addition
3
1
35 + 32 = (3• 10 + 5) + (3 • 10 + 2)
2
(a)
(b)
= 3• 10 + [5+ (3• 10 + 2)]
= 3• 10 + [(5+3• 10) + 2]
= 3• 10 + [(3 • 10 + 5) + 2]
Additive-Identity property of zero
Commutative property ofmultiplication
Associative Property of multiplication
Multiplicative identity property
7
4
(c)
(d)
= 3• 10 + [3• 10 + (5 + 2)]
(e)
Distributive property of multiplication over addition
= (3• 10 +3• 10) + (5 + 2)
= (3+ 3) • 10 + (5 + 2)
= 6• 10 +7
(f)
(a)
expanded notation
(f)
(g)
(b)
(g)
(h)
= 67
(c)
(i)
(h)
addition facts
(d)
(i)
expanded notation
(e)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning