Properties of Algebra. Commutative Property of Addition Definition – The sum of a group of numbers...
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Transcript of Properties of Algebra. Commutative Property of Addition Definition – The sum of a group of numbers...
Properties of AlgebraProperties of Algebra
Commutative Commutative Property Property
of Additionof Addition Definition – The sum of a group Definition – The sum of a group
of numbers is the same of numbers is the same regardless of the order in which regardless of the order in which
the numbers are arranged.the numbers are arranged.
Example – 7+2=2+7Example – 7+2=2+7 Example – 12+10=10+12Example – 12+10=10+12
Commutative Commutative Property Property
of Multiplicationof Multiplication Definition – The product of a Definition – The product of a
group of numbers is the same group of numbers is the same regardless of the order in which regardless of the order in which
the numbers are arranged.the numbers are arranged.
Example – 3 x 2 = 2 x 3Example – 3 x 2 = 2 x 3 Example – 24 x 11 = 11 x 24Example – 24 x 11 = 11 x 24
Associative Associative Property Property
of Additionof Addition Definition – The sum of a set of Definition – The sum of a set of
numbers is the same no matter numbers is the same no matter how the numbers are grouped.how the numbers are grouped.
Example – 2+(3+4)=(2+3)+4Example – 2+(3+4)=(2+3)+4 Example – Example –
(10+12)+14=10+(12+14)(10+12)+14=10+(12+14)
Associative Associative Property Property
of Multiplicationof Multiplication Definition – The product of a set Definition – The product of a set
of numbers is the same no of numbers is the same no matter how the numbers matter how the numbers
aregrouped.aregrouped.
Example – 5x(3x2)=(5x3)x2Example – 5x(3x2)=(5x3)x2 Example – 12x(16x10) = Example – 12x(16x10) =
(12x16)x10(12x16)x10
Distributive PropertyDistributive Property
Definition – The sum of two Definition – The sum of two addends multiplied by a number addends multiplied by a number is the sum of the product of each is the sum of the product of each addend and the number.addend and the number.
Example – 5(20 + 1)= 5x20+ 5x1Example – 5(20 + 1)= 5x20+ 5x1 Example – 6(7 + 15)= 6x7+ 6x15Example – 6(7 + 15)= 6x7+ 6x15
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Question 1Question 1 What property is shown here?What property is shown here?
34 + 27 = 27 + 3434 + 27 = 27 + 34
A. Commutative Property of AdditionA. Commutative Property of AdditionB. Commutative Property of B. Commutative Property of
MultiplicationMultiplicationC. Associative Property of AdditionC. Associative Property of AdditionD. Associative Property of D. Associative Property of
MultiplicationMultiplication
Answer 1Answer 1 What property is shown here?What property is shown here?
34 + 27 = 27 + 3434 + 27 = 27 + 34
Answer: Answer: A. Commutative Property of AdditionA. Commutative Property of Addition
Question 2Question 2 What property is shown here?What property is shown here?
48 + (73 + 16) = (48 + 73) + 1648 + (73 + 16) = (48 + 73) + 16
A. Commutative Property of AdditionA. Commutative Property of AdditionB. Commutative Property of MultiplicationB. Commutative Property of MultiplicationC. Associative Property of AdditionC. Associative Property of AdditionD. Associative Property of MultiplicationD. Associative Property of Multiplication
Answer 2Answer 2 What property is shown here?What property is shown here?
48 + (73 + 16) = (48 + 73) + 48 + (73 + 16) = (48 + 73) + 1616
Answer: Answer: C. Associative Property of AdditionC. Associative Property of Addition
Question 3Question 3 What property is shown here?What property is shown here?18 x (22 x 49) = (18 x 22) x 4918 x (22 x 49) = (18 x 22) x 49
A. Commutative Property of AdditionA. Commutative Property of AdditionB. Commutative Property of B. Commutative Property of
MultiplicationMultiplicationC. Associative Property of AdditionC. Associative Property of AdditionD. Associative Property of D. Associative Property of
MultiplicationMultiplication
Answer 3Answer 3 What property is shown here?What property is shown here?18 x (22 x 49) = (18 x 22) x 4918 x (22 x 49) = (18 x 22) x 49
Answer: Answer: D. Associative Property of D. Associative Property of
MultiplicationMultiplication
Question 4Question 4 What property is shown here?What property is shown here?
66 x 37 = 37 x 6666 x 37 = 37 x 66
A. Commutative Property of AdditionA. Commutative Property of AdditionB. Commutative Property of B. Commutative Property of
MultiplicationMultiplicationC. Associative Property of AdditionC. Associative Property of AdditionD. Associative Property of D. Associative Property of
MultiplicationMultiplication
Answer 4Answer 4 What property is shown here?What property is shown here?
66 x 37 = 37 x 6666 x 37 = 37 x 66
Answer: Answer: B. Commutative Property of B. Commutative Property of
MultiplicationMultiplication
Question 5Question 5 Which shows the Which shows the
Commutative Property of Commutative Property of Addition?Addition?
A. 7+2+3=3+7+8A. 7+2+3=3+7+8B. 7+(2+3)=(2+2)+7B. 7+(2+3)=(2+2)+7C. 7+2+3=2+3+7C. 7+2+3=2+3+7D. 7+2+3=5+7+2D. 7+2+3=5+7+2
Answer 5Answer 5 Which shows the Which shows the
Commutative Property of Commutative Property of Addition?Addition?
Answer: Answer: C. 7+2+3=2+3+7C. 7+2+3=2+3+7
Question 6Question 6 Which shows the Associative Which shows the Associative
Property of Multiplication?Property of Multiplication?
A. (6 x 5) x 2 = 6 x (5 x 2)A. (6 x 5) x 2 = 6 x (5 x 2)B. 6 x 5 x 2 = 5 x 6 x 2B. 6 x 5 x 2 = 5 x 6 x 2C. 5 x (6 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 10D. 5 x 6 x 2 = 6 x 10
Answer 6Answer 6 Which shows the Which shows the
Associative Property of Associative Property of Multiplication?Multiplication?
Answer: Answer: A. (6 x 5) x 2 = 6 x (5 x 2)A. (6 x 5) x 2 = 6 x (5 x 2)
Question 7Question 7 Which shows the Which shows the
Commutative Property of Commutative Property of Multiplication?Multiplication?
A. 7 x 8 x 4 = 7 x 16 x 2A. 7 x 8 x 4 = 7 x 16 x 2B. (7 x 8) x 4 = 7 x (2 x 16)B. (7 x 8) x 4 = 7 x (2 x 16)C. 7 x 8 x 4 = 8 x 4 x 7C. 7 x 8 x 4 = 8 x 4 x 7D. 7 x (8 x 4) = (7 x 8) x 4D. 7 x (8 x 4) = (7 x 8) x 4
Answer 7Answer 7 Which shows the Which shows the
Commutative Property of Commutative Property of Multiplication?Multiplication?
Answer: Answer: C. 7 x 8 x 4 = 8 x 4 x 7C. 7 x 8 x 4 = 8 x 4 x 7
Question 8Question 8 Which shows the Associative Which shows the Associative
Property of Addition?Property of Addition?
A. 6 + 9 + 12 = 12 + 6 + 9A. 6 + 9 + 12 = 12 + 6 + 9B. 6 + (9 + 12) = (6 + 9) + 12B. 6 + (9 + 12) = (6 + 9) + 12C. 6 + 9 + 12 = 15 + 12C. 6 + 9 + 12 = 15 + 12D. 6 + (9 + 12) = (9 + 12) + 6D. 6 + (9 + 12) = (9 + 12) + 6
Answer 8Answer 8 Which shows the Which shows the
Associative Property of Associative Property of Addition?Addition?
Answer: Answer: B. 6 + (9 + 12) = (6 + 9) + 12B. 6 + (9 + 12) = (6 + 9) + 12
Question 9Question 9 Which is the best answer for:Which is the best answer for:
62 + (13 + 4) = ______62 + (13 + 4) = ______A. 82A. 82B. 79B. 79C. 74C. 74D. 88D. 88
Answer 9Answer 9 Which is the best answer Which is the best answer
for:for:62 + (13 + 4) = ______62 + (13 + 4) = ______
Answer: Answer: B. 79B. 79
Question 10Question 10 Which is the best answer for:Which is the best answer for:
43 x (2 x 5) = _____43 x (2 x 5) = _____A. 86A. 86B. 345B. 345C. 430C. 430D. 215D. 215
Answer 10Answer 10 Which is the best answer Which is the best answer
for:for:43 x (2 x 5) = _____43 x (2 x 5) = _____
Answer: Answer: C. 430C. 430