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?


31 comments:

  1. Commutative law of addition/multiplication means that the numbers that are being added/multiplied can be reordered in a random sequence.
    Associative means that the numbers in the brackets can be reordered and get the same answer
    Distributive law of multiplication means that you could simplify the statement by multiplying the number in the brackets

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  2. 1. i & ii) It is that we can swap numbers over and still get the same answer.
    2.i & ii) The associative laws say that it doesn't matter how we group the numbers.
    3.The distributive law says that can distribute numbers across the problem sum.

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    Replies
    1. You cannot really distribute the numbers across the problem sums...

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  3. The commutative law of addition is the exchanging places of 2 numbers or variables in an addition sum
    The commutative law of multiplication is is the exchanging places of 2 numbers or variables in an multiplication sum
    The associative law of addition is the exchanging places of 3 numbers or variables in an addition sum
    The associative law of multiplication os the exchanging places of 3 numbers or variable in an multiplication sum
    It makes it easy

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  4. 1. The commutative law of addition or multiplication states that you can put your numbers in any position you want and still get the same number not depending on whether you are using addition or multiplication

    2. The associative law of addition or multiplication states that no matter how we group the numbers irregardless of addition or multiplication, we still get the same answer

    3. The distributive law states that we can do each multiplication separately, add them up and still get the same answer.

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  5. 1i) It states that two numbers is the same either way. Eg. A+B=B+A
    ii)It states that two numbers multiplied together is the same either way. Eg.X multiply by Y is the same=Y multiply by X

    2i)It states that three or more numbers added together is the same in other way. Eg. D+E+F=F+E+D
    ii)It states that three or more numbersMultiplied together is the same in other way. D multiply by E multiply by F=F multiply by E multiply by D.

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  6. 1. It states that two numbers, when added or multiplied by each other, no matter what the order they are added/multiplied in, will always have the same end product.
    2.1. It states that three or more numbers, when added or multiplied by each other, no matter what the order they are added/multiplied in, will always have the same end product.
    3.Think of a delivery truck. It must move from the warehouse to several distributors along its route unloading its merchandise at each business. When the truck has unloaded at one stop, it moves to the next stop, unloads, and moves on until all locations have been visited. The distributive law is somewhat like a delivery truck, it is distributing multiplication among terms. The truck is outside the parentheses and the businesses are inside separated by plus and minus signs.
    When we multiply two numbers, each of the numbers is called a factor.

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  7. 1. The commutative law of addition means that the order of two numbers of addition can be changed. The commutative law of multiplication is that the order of two numbers of multiplication can be changed.

    2. The associative law of addition is that you can add either of the numbers first and the answer will still be the same. The associative law of multiplication is that you can multiply either of the numbers first and the answer will still be the same.

    3. The distributive law of multiplication is using the number outside the brackets to multiply the numbers inside the brackets and then add them together to get the answer

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  8. -The "Commutative Laws" of addition and multiplication say we can swap numbers over and still get the same answer ...
    -The "Associative Laws" of addition and multiplication say that it doesn't matter how we group the numbers (i.e. which we calculate first) ...
    -The distributive property of multiplication over addition can be used when you multiply a number by a sum.

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  9. 1. The 'commutative law' of addition and multiplication means swapping the sequence of the numbers in a random order, and will still get the same result, it does not matter which number comes first.

    2. The 'associate law' of addition and multiplication means grouping the numbers in a random order, and still get the same result, it does not matter how we group the numbers.

    3. The 'distributive law' means adding multiplying the numbers in a bracket, then do the same for the numbers outside the bracket, then add them up and get the sum.

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  10. the factor of the number can be multiplied in any sequence without the answer changing


    The associative law of addition and multiplication states that no matter how we group the numbers we still get the same answer

    the law states that we can add the numbers in any sequence and we will get the same answer

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    Replies
    1. What law states that 'we can add the numbers in any sequence and we will get the same answer'?

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  11. -being able to change the position(swap) the numbers over and still get the same answer. The factors of any product may be taken in any order
    -it doesn't matter how we group the numbers (i.e. which we calculate first)
    -multiplying both numbers by the same number (e.g. 3(10+2)=3x10+3x2

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  12. 1. The commutative law of both addition and multiplication allows numbers to be grouped in different orders or groups and yet still get the same answer.
    2. The associative law of both multiplication and addition is reordering the numbers in the brackets and yet still getting the same answer.
    3. The distributive law is multiplying the numbers outside the brackets and then adding them up together gets the same answer.

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  13. -The commutative law:
    When only two numbers are added or multiplied together even when their order are different, they will have the same answer (E.g X+Y=Y+X)
    -The associative law:
    When three or more numbers are added or multiplied even though the order is different, the answer will still be the same
    -The Distributive law
    Multiplying a number by a group of numbers added together is the same as doing each multiplication separately
    E.g 3x(2+4)=3x2+3x4

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  14. The commutative law of addition and subtraction allows 2 numbers to be grouped in different order and still get the same answer.
    The associative law of addition and subtraction allows 3 or more numbers to be arranged in different order and in the end still get the same answer.
    The distributive law allows a group of numbers to be multiplied, added, subtracted or divided seperately in an equation.

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    Replies
    1. Subtraction and division is not part of the distributive law

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  15. Commutative Law 1) Able to swap any number (multiplication or addition) in the equation and is still able to get the same answer.

    Associative Law 2) We can group any numbers together and get the same answer.

    Distributive Law 3)Multiplying the number(s) from outside a bracket and multiplying them with the numbers inside the bracket and adding them up together would get you the answer.

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  16. 1. (i) Two numbers that must be added to each other, and when the order is changed, it will still get the same answer.
    (ii) Two numbers that must be multiplied by each other, and when the order is changed, it will still get the same answer.
    2. (i) Three or more numbers that must be added to each other, and the numbers can be grouped in different orders, to still get a constant answer.
    (ii) Three or more numbers that must be multiplied by each other, and the numbers can be grouped in different orders, to still get a constant answer.

    3. In this case, we can conclude that even if we change the order of the numbers, we will still get a constant answer. For example, if: a+b+c=d, b+c+a and c+a+b also equals to 'd'.

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    Replies
    1. For number 3, where is the multiplication for the Distributive law?

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  17. Qn 1. (i) We can swap any two numbers, and we would still get the same answer. e.g. a x b = b x a
    (ii) We can swap any 2 numbers and still would get the same answer. e + f = f + e
    Qn 2. (i) It doesn't matter how we group the numbers, we would still het the same answer. e.g. (a x b) x c = a x (b x c)
    (ii) It does not matter how we group the numbers, we will still get the same answer. e.g. (d + e )+ f = d + (e + f)
    Qn 3. Distributive Law: e.g.
    3 x (2 + 4) = 3 x 6 = 18
    3 x 2 + 3 x 4 = 18

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  18. This comment has been removed by the author.

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  19. 1. What is the commutative law of
    - addition and multiplication : It is when 2 numbers can switch its position in a mathematical statement and still retain its original number. E.g. A+B=B+A or A X B= B X A

    2. What is the associative law of
    - addition and multiplication: When 3 or more numbers are in a mathematical statement and they can change their positions randomly and still retain the original answer. E.g. X+Y+Z=Y+X+Z, also works for multiplication.

    3. How does the distributive law of multiplication over addition work?
    It works by multiplying the number outside the bracket individually with the numbers in the bracket.
    E.g. 5x4+6x4 = 4(6+5)
    = 4x11
    = 44

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  20. 1. The commutative law of both addition and multiplication allows numbers to be grouped in different orders or groups and yet still get the same answer.
    2. The "Associative Laws" say that it doesn't matter how we group the numbers (i.e. which we calculate first
    3. a × (b + c) = a × b + a × c

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  21. 1.The commutative law of addition and subtraction allows 2 numbers to be grouped in a different order and still get the same answer.
    2. The associative law of addition or multiplication states that no matter how we group the numbers not regardless of addition or multiplication, we still will get the same answer
    3. The 'distributive law' means adding multiplied numbers in a bracket, then do the same for the numbers outside the bracket, then add them up and get the sum.

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  22. 1. The commutative law of addition and multiplication allows numbers to be swapped together and still end up with the same answer.
    2. The associative laws of addition and multiplication allows us to group numbers together and still end up with the same answer.

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  23. The commutative law is the addition or multiplication of two number when swapped together, give you the same answer with either arrangement
    The associative law is the addition and multiplication of more than 2 numbers that will give you the same answer either way.
    The distributive law is the multiplication and addition of 2 or more numbers and the multiplier will multiply the number separately and then add or multiply the numbers in the bracket depending on the mathematical symbol.

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  24. The commutative law is the addition or multiplication of two number when swapped together, give you the same answer with either arrangement
    The associative law is the addition and multiplication of more than 2 numbers that will give you the same answer either way.
    The distributive law is the multiplication and addition of 2 or more numbers and the multiplier will multiply the number separately and then add or multiply the numbers in the bracket depending on the mathematical symbol.

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