# Properties of Algebra. Commutative Property of Addition Definition – The sum of a group of numbers is the same regardless of the order in which the numbers.

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Properties of Algebra

Commutative Property of Addition Definition – The sum of a group of numbers is the same regardless of the order in which the numbers are arranged. Definition – The sum of a group of numbers is the same regardless of the order in which the numbers are arranged. Example – 7+2=2+7 Example – 7+2=2+7 Example – 12+10=10+12 Example – 12+10=10+12

Commutative Property of Multiplication Definition – The product of a group of numbers is the same regardless of the order in which the numbers are arranged. Definition – The product of a group of numbers is the same regardless of the order in which the numbers are arranged. Example – 3 x 2 = 2 x 3 Example – 3 x 2 = 2 x 3 Example – 24 x 11 = 11 x 24 Example – 24 x 11 = 11 x 24

Associative Property of Addition Definition – The sum of a set of numbers is the same no matter how the numbers are grouped. Definition – The sum of a set of numbers is the same no matter how the numbers are grouped. Example – 2+(3+4)=(2+3)+4 Example – 2+(3+4)=(2+3)+4 Example – (10+12)+14=10+(12+14) Example – (10+12)+14=10+(12+14)

Associative Property of Multiplication Definition – The product of a set of numbers is the same no matter how the numbers aregrouped. Definition – The product of a set of numbers is the same no matter how the numbers aregrouped. Example – 5x(3x2)=(5x3)x2 Example – 5x(3x2)=(5x3)x2 Example – 12x(16x10) = (12x16)x10 Example – 12x(16x10) = (12x16)x10

Distributive Property Definition – The sum of two addends multiplied by a number is the sum of the product of each addend and the number. Definition – The sum of two addends multiplied by a number is the sum of the product of each addend and the number. Example – 5(20 + 1)= 5x20+ 5x1 Example – 5(20 + 1)= 5x20+ 5x1 Example – 6(7 + 15)= 6x7+ 6x15 Example – 6(7 + 15)= 6x7+ 6x15

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Question 1 What property is shown here? What property is shown here? 34 + 27 = 27 + 34 A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

Answer 1 What property is shown here? What property is shown here? 34 + 27 = 27 + 34 Answer: A. Commutative Property of Addition

Question 2 What property is shown here? What property is shown here? 48 + (73 + 16) = (48 + 73) + 16 A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

Answer 2 What property is shown here? What property is shown here? 48 + (73 + 16) = (48 + 73) + 16 Answer: C. Associative Property of Addition

Question 3 What property is shown here? What property is shown here? 18 x (22 x 49) = (18 x 22) x 49 A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

Answer 3 What property is shown here? What property is shown here? 18 x (22 x 49) = (18 x 22) x 49 Answer: D. Associative Property of Multiplication

Question 4 What property is shown here? What property is shown here? 66 x 37 = 37 x 66 A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

Answer 4 What property is shown here? What property is shown here? 66 x 37 = 37 x 66 Answer: B. Commutative Property of Multiplication

Question 5 Which shows the Commutative Property of Addition? Which shows the Commutative Property of Addition? A. 7+2+3=3+7+8 B. 7+(2+3)=(2+2)+7 C. 7+2+3=2+3+7 D. 7+2+3=5+7+2

Question 6 Which shows the Associative Property of Multiplication? Which shows the Associative Property of Multiplication? A. (6 x 5) x 2 = 6 x (5 x 2) B. 6 x 5 x 2 = 5 x 6 x 2 C. 5 x (6 x 2) = 5 x (6 x 2) D. 5 x 6 x 2 = 6 x 10

Answer 6 Which shows the Associative Property of Multiplication? Which shows the Associative Property of Multiplication?Answer: A. (6 x 5) x 2 = 6 x (5 x 2)

Question 7 Which shows the Commutative Property of Multiplication? Which shows the Commutative Property of Multiplication? A. 7 x 8 x 4 = 7 x 16 x 2 B. (7 x 8) x 4 = 7 x (2 x 16) C. 7 x 8 x 4 = 8 x 4 x 7 D. 7 x (8 x 4) = (7 x 8) x 4

Answer 7 Which shows the Commutative Property of Multiplication? Which shows the Commutative Property of Multiplication?Answer: C. 7 x 8 x 4 = 8 x 4 x 7

Question 8 Which shows the Associative Property of Addition? Which shows the Associative Property of Addition? A. 6 + 9 + 12 = 12 + 6 + 9 B. 6 + (9 + 12) = (6 + 9) + 12 C. 6 + 9 + 12 = 15 + 12 D. 6 + (9 + 12) = (9 + 12) + 6

Answer 8 Which shows the Associative Property of Addition? Which shows the Associative Property of Addition?Answer: B. 6 + (9 + 12) = (6 + 9) + 12

Question 9 Which is the best answer for: Which is the best answer for: 62 + (13 + 4) = ______ A. 82 B. 79 C. 74 D. 88

Answer 9 Which is the best answer for: Which is the best answer for: 62 + (13 + 4) = ______ Answer: B. 79

Question 10 Which is the best answer for: Which is the best answer for: 43 x (2 x 5) = _____ A. 86 B. 345 C. 430 D. 215

Answer 10 Which is the best answer for: Which is the best answer for: 43 x (2 x 5) = _____ Answer: C. 430

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