A) Match each equality with the letter corresponding to the property it illustrates. Responses may be used mor than once, once, or not at all. ( 1. (8+2)+4=8+(2+4) 2. (6+1) +3=3+(6+1) 3. 3x2x5=3x5x2 4. 1x9=9 A. Associative Property of Multiplication B. Commutative Property of Multiplication 5. 4(8+6)=4x8+4×6 C. Identity Property of Multiplication D. Distributive Property 6. (0+5) +3=5+3 E. Zero Property of Multiplication

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 35E
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Related questions
Question
A)
Match each equality with the letter corresponding to the property it illustrates. Responses may be used more
than once, once, or not at all. (
1.
(8+2)+4=8+(2+4)
2.
(6+1)+3=3+ (6 + 1)
3.
3 x 2 x 5 3 × 5 × 2
4.
1x9=9
A. Associative Property of Multiplication
B. Commutative Property of Multiplication
C. Identity Property of Multiplication
D. Distributive Property
5.
4(8+6)=4 x 8+4×6
6.
(0+5) +3=5+3
E. Zero Property of Multiplication
7.
8 (2-3)= (2-3) -8
F. Commutative Property of Addition
G. Associative Property of Addition
H. Identity Property of Addition
8.
a +(b + c) =a +(c + b)
●
Determine whether the set {0} is closed under whole number addition. Explain your
answer.
●
Determine whether the set {0, 2, 4, 6, 8} is closed under whole number multiplication.
Explain your answer.
●
Complete the 4 fact family beginning with: 11 + 7 = 18 (DO NOT USE < or > SIGNS)
●
The Sundae Shoppe has 3 types of ice cream (chocolate, vanilla, and strawberry)
and 4 types of toppings (fudge, caramel, marshmallow, and whipped cream). Model all
possibilities for a single dip, single topping sundae using either a tree diagram or a
rectangular array.
●
Classify each situation as sharing or measurement division. (You do not need to solve.)
●
Suppose 32 chairs are to be placed so that there are 8 chairs per table. How many tables
are needed?
●
There are 176 students enrolled in 6th grade. If there are 8 classes, how many 6th graders
should be
●
Amy has 10 cookies that she wants to share with 5 friends. How many cookies will each
friend get?
B)
Transcribed Image Text:A) Match each equality with the letter corresponding to the property it illustrates. Responses may be used more than once, once, or not at all. ( 1. (8+2)+4=8+(2+4) 2. (6+1)+3=3+ (6 + 1) 3. 3 x 2 x 5 3 × 5 × 2 4. 1x9=9 A. Associative Property of Multiplication B. Commutative Property of Multiplication C. Identity Property of Multiplication D. Distributive Property 5. 4(8+6)=4 x 8+4×6 6. (0+5) +3=5+3 E. Zero Property of Multiplication 7. 8 (2-3)= (2-3) -8 F. Commutative Property of Addition G. Associative Property of Addition H. Identity Property of Addition 8. a +(b + c) =a +(c + b) ● Determine whether the set {0} is closed under whole number addition. Explain your answer. ● Determine whether the set {0, 2, 4, 6, 8} is closed under whole number multiplication. Explain your answer. ● Complete the 4 fact family beginning with: 11 + 7 = 18 (DO NOT USE < or > SIGNS) ● The Sundae Shoppe has 3 types of ice cream (chocolate, vanilla, and strawberry) and 4 types of toppings (fudge, caramel, marshmallow, and whipped cream). Model all possibilities for a single dip, single topping sundae using either a tree diagram or a rectangular array. ● Classify each situation as sharing or measurement division. (You do not need to solve.) ● Suppose 32 chairs are to be placed so that there are 8 chairs per table. How many tables are needed? ● There are 176 students enrolled in 6th grade. If there are 8 classes, how many 6th graders should be ● Amy has 10 cookies that she wants to share with 5 friends. How many cookies will each friend get? B)
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