Tuesday, 27 January 2015

Lesson Review on Number Laws

Answer the following questions (in your own words)

1. What is the commutative law of
     (i) addition
     (ii) multiplication

2. What is the associative law of
    (i) addition
    (ii) multiplication

3. How does the distributive law of multiplication over addition work?


22 comments:

  1. This comment has been removed by the author.

    ReplyDelete
  2. 1-They can all be
    reversed in any way and still produce the same result.
    2-They can all be done in any form and still achieve the same result.
    3-You can reverse any of the operands or no.s and still have the same result

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  3. Commutative Law of:
    (i) addition: A+B = B+A
    (ii) multiplication: A*B = B*A (the multiplication sign is replaced by a dot to prevent confusion with the letter 'x'

    Associative Law of:
    (i) addition: (A+B)+C = A+(B+C)
    (ii) multiplication: (A*B)*C = A*(B*C)

    ReplyDelete
    Replies
    1. 3. You can reverse the operands (factors) and have the same result.

      Delete
  4. 1(i). A + B = B + A
    1(ii). A x B + B x A

    2(i). (A + B) + C = A + (B + C)
    2(ii). (A x B) x C = A x (B x C)

    3. If a sum of numbers in parentheses are multiplied by a number outside the parentheses, if we remove the parentheses, the each number inside must be multiplied individually.

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  5. Communicative law
    addition: A+B =B=A
    multiplication:(a*b)=(b*a)
    Associative Law
    Addition: (A+B)+C =A+(B+C)
    Multiplication:A+(B*C)= A+B*C

    ReplyDelete
  6. Communicative law is like: 2•3=3•2
    the same is used when doing addition:1+4=4=1

    Associative law is like: (X+Y)+Z=X+(Y+Z)
    for multiplication, the same is used: (A•B)+C=Ax(B•C)

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  7. The commutative law of
    (i) addition is when A+B = B+A
    (ii) multiplication A x B= B x A
    The associative law of
    (i) addition (A+C)+B=(B+A)+C
    (ii) multiplication (A•B)+C = A•(B•C)

    The distributive law of multiplication over addition work?
    -The "Associative Laws" say that it doesn't matter how we group the numbers (i.e. which we calculate first

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  8. Communicative law:
    Addition: A+B = B+A
    Multiplication: A•B=B•A

    Associative Law:
    The associate law is when a specific binary operation is performed with 2 or more terms. However, the associative law does not apply when 2 or more different binary operations are performed.
    Addition: (A+B)+C = A+(B+C)
    Multiplication: (A•B)+C = A•(B•C)

    Distributive law
    The distributive law is when the terms in parentheses are multiplied by a term outside of the parentheses, and the term that is outside multiplies with all the terms in it.


    For example, (a+b+c)•d = a•d + b•d + c• d

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  9. Communicative law for:
    i) Addition: X+Y=Y+X
    ii) Multiplication: X•Y=Y•X

    Associative law for:
    i)addition: (X+Y)+Z=X+(Y+Z)
    ii)multiplication(X•Y)•Z=X•(Y•Z)

    3.(X+Y)•Z=XZ+YZ

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  10. The Commutative Law for addition is A+B=B+A.
    The Commutative Law for multiplication is A•B=B•A

    The Associative Law for addition is (A+B)+C=A+(B+C)
    The Associative Law for multiplication is (A+B)•C= (A•C)+(B•C)

    ReplyDelete
    Replies
    1. Associative Law (A•B)•C=A•(B•C)
      Distributive law is when the numbers in the parentheses are multiplied by a number outside the parentheses and the number that is outside multiplies with all the terms in it, eg: (A+B)•C=(A•B)+(A•C).

      Delete
  11. Communicative law of addition : A + B = B + A
    Communicative law of Multiplication = A • B = B • A
    Associative Law of Addition (A + B) + C = A + ( B + C)
    Associative Law of Multiplication (A•B)+C + (B•C) + A

    ReplyDelete
  12. 1)Communicative Law:
    Communicative Law of Addition : J+K=K+J
    Communicative Law of Multiplication : J•K=K•J

    2)Associative Law :
    Associative Law of Addition : (J+K)+L=J=(K+L)
    Associative Law of Multiplication : (J•K)+L≠J+(K•L)
    ;)

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  13. 1 The commutative law of:
    (i) addition is A+B = B+A
    (ii) multiplication is A•B = B•A

    2 The associative law of:
    (i) addition is (A+B)+C = A+(B+C)
    (ii) multiplication is (A•B)•C = A•(B•C)

    3 How does the distributive law of multiplication over addition work?
    It works in such a way that in order for an expression without parentheses to have an equal product as an expression with parentheses, you would have to "distribute" the multiplier to each number in the parentheses.

    e.g. (A+B)•C = A•C+B•C
    *C acts as the multiplier in the above expression

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  14. 1.numbers can be reversed in any way
    Addition:(A+B)=(B+A)
    multiplication:(A•B)=(B•A)
    2. Associate laws means being spilt
    addition:(A+B)+C=A+(B+C)
    multiplication:(A•B)•C=A•(B•C)
    distributive is bracketing the multiplication
    E.G:(A+B)•C=A•C+B•C

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  15. 1. Commutative Law of
    (i) addition: A+B=B+A
    (ii) multiplication: AxB=BxA

    2. What is the associative law of
    (i) addition:(a + b) + c = a + (b + c)
    (ii) multiplication: (a × b) × c = a × (b × c)

    3. How does the distributive law of multiplication over addition work?
    Can combine the question

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  16. The commutative law of addition is: A+B = B+A
    The commutative law of multiplication is: A•B = B•A

    The associative law of addition is: (A + B) + C = A+ (B + C)
    The associative law of multiplication is: (A•B)•C = A•(B•C)

    By combining all the laws (associative and commutative) together.

    ReplyDelete
  17. 1. The commutative law of:
    a) addition is A+B = B+A
    b) multiplication is A•B = B•A

    2. The associative law of:
    a) addition is (A+B)+C = A+(B+C)
    b) multiplication is (A•B)•C = A•(B•C)

    3. You can reverse the operands and have the same result.

    ReplyDelete
  18. 1. The commutative law of:
    i) addition means A+B = B+A
    ii) multiplication means A•B = B•A

    2. The associative law of:
    i) addition means (A+B)+C = A+(B+C)
    ii) multiplication means (A•B)•C = A•(B•C)

    3. Combining both laws together

    ReplyDelete
  19. The commutative law of addition and multiplication is a law in Mathematics where it does not matter what the order of the operands is. The operands can exchange their places with each other yet the answer will remain the same. E.g. (2 x 4 = 8, 4 x 2 = 8), (2 + 3 = 5, 3 + 2=5).
    The associative law of addition and multiplication is a law in Mathematics where it does not matter which two numbers are added or multiplied first (which numbers come first (in bracket)) just as long as only one operation is used. E.g. ((2 + 8) + 5 = 2 + (8 + 5)), ((9 + 1) + 3 = 9 + (1 + 3)).
    The distributive property works in a way that it simplifies the equation by splitting the addition operations up and multiplying them by the multiplicative number. E.g. 2 groups of 5 multiplied by 3 groups of 5 = 5 groups of 5 because the group we are talking about is of the same value (all multiplied to 5).

    ReplyDelete