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?

1.The commutative laws of addition and multiplication is that no mater how you swap the numbers, you still get the same results

ReplyDelete2.The associative law of addition and multiplication is that no matter how you bracket the numbers, you still get the same results

3. Example: a(b+c) = ab+ac

Isn't there a better word to substitute,'bracket'(number 2)

DeleteYou could try to explain your example.(number 3)

1)when you get the same answer regardless of how you change the positions of the numbers, it is called The commutative.

ReplyDelete2)When you get the same answer regardless of how you bracket the numbers, it is called The associative law of addition and multiplication

3) c(a x b) = ca x cb

Isn't there a better word to substitute,'bracket'(number 2)

DeleteYou could try to explain your example.(number 3)

2) When you get the same answer regardless of how you put he equation in brackets, It is clawed The association law of addition and multiplication

Delete3) c(a x b) = ca x cb

Eg. 3(2 x 8) = 6 x 24

1) We swap the numbers over and we will still get the same answer. Like a+b=b+a or a x b=b x a

ReplyDelete2)It does not matter how we group the numbers it will turn out to be the same answer. Like a + ( b + c )=(a + b)+c=(a + c)+b

3)a+(b+c)=ab + ac

You could try to explain your example.(number 3)

Delete1) I learnt that in the commutative laws of addition and multiplication that if we swap the position of numbers. You will still get the same sum.

ReplyDelete2)The associative law of addition and multiplication means that however you bracket the numbers, you will get the same answer

3)(a+b)c=ca+cb

Isn't there a better word to substitute,'bracket'(number 2)

DeleteYou could try to explain your example.(number 3)

2)The associative law of addition and multiplication means that however you group the numbers. You will still get the same answer.

Delete3)c(a x b) = ca x cb

So you remove the brackets and multiply A and B by C respectively.

1) The commutative laws of addition and multiplication is no matter where you place the numbers, we still get to the same answer.

ReplyDelete2)The associative law of addition and multiplication means that when we swap the position of the brackets, we will still get the same answer.

3) 5x + ax = (5+a)x

You could try to explain your example.(number 3)

Delete1)it doesnt matter where we swoop the numbers, the value at the end remains unchanged ---> a x b = b x a

ReplyDelete2)The associative law of addition and multiplication ---> when we swap the position of the brackets, we will still get the same answer

3)a+(b+c)=ab + ac

You could try to explain your example.(number 3)

DeleteThis comment has been removed by the author.

ReplyDelete1) The commutative laws of addition and multiplication is no matter how we place numbers in an equation, the answer will still the the same. For example: i) addition: a + b = b + a | ii) multiplication: a x b = b x a

ReplyDelete2) The associative laws of addition and multiplication is when no matter how we group the numbers in an equation when calculating it, the answer of the equation will still be the same. For example: i) addition: a+(b+c) = (a+b)+c | ii) multiplication: a x (b x c) = (a x b) x c

3) a x (b+c) = (a x b)+(a x c)

You could try to explain your example.(number 3)

DeleteI learnt that:

ReplyDelete1)The commutative laws of addition are rather interesting because no matter where you place the numbers you will still get the same answer which is pretty cool.

2) I learnt that associative laws are "(a + b) + c = a + (b + c)" or (a × b) × c = a × (b × c)

3) I learnt 72T+xT=(72+x)T

Good that you find it cool

DeleteYou could try to explain your example.(number 2 and 3)

1)It dosen't matter if you swap the numbers around, the answer will still be the same.

ReplyDelete2)However you bracket the numbers, the answer will still be the same.

3) A+(B+C)=AB+AC

You could try to explain your example.(number 3)

1.No matter how we arrange the numbers the answer will remain the same

ReplyDelete2.No matter how we group the numbers the answer will still be the same

3.In a number statement like: a(b+c) we can remove the brackets and multiply both b and c by a before adding them and vice versa

1. (a+b)c=(b+c)a

ReplyDelete2. No matter where you place the numbers in a statement, (e.g. (a+b)c) the result will never change.

3.The Number Law came from the Mayans.

1) The commutative laws of addition and multiplication is no matter where you place the numbers, we still get to the same answer.

ReplyDelete2) It doesn't matter where we swoop the numbers, the value at the end remains unchanged.

3) The number law originated from the Mayans.

1. Commutative addition and multiplication is wherever we place the number in a sum, the answer will still be the same.

ReplyDelete2. Anywhere we swap the brackets in a sum, the answer will be the same.

3. a+(b+c)=ab +ac

1.For example 2x4=4x2.No matter we put the numbers it does not affect the product.

ReplyDelete2.a+(b+c)=ab+ac

3.The number law by the Mayans

1.For example 2x4=4x2.No matter we put the numbers it does not affect the product.

ReplyDelete2.a+(b+c)=ab+ac

3.The number law by the Mayans

1. It doesn't matter how you switch 'a' and'b' around the '+' or 'x', the answer will always stay the same.

ReplyDelete2.a+(b+c) is same as (a+b)+c and (a+c)+b. a(bc) is the same as (ab)c and (ac)b.

3.a(b+c)is same as ab+ac.a(b-c) is same as ab-ac.

1) The numbers in commutative law would still stay the same eventhough the numbers are swapped.

ReplyDelete2) The numbers in associative law for addition and multiplication would stay the same eventhough the brackets are in a different way.

3) a(b+c) is the same as (ab+ac) as the value a states the number of b and c.

1) Even if the numbers are swapped, the answers will still be the same.

ReplyDelete2) Even though the brackets are changed, the answer still remains the same.

3) a(b+c)=(ab+ac). Both answers will still be the same.