what is the commutative associate and distributed properties
Answers
Answer:
he "Commutative Laws" say we can swap numbers over and still get the same answer ...
... when we add:
a + b = b + a
Example:
Commutative Law Addition
... or when we multiply:
a × b = b × a
Example:
Commutative Law multiplication
Commutative Percentages!
Because a × b = b × a it is also true that a% of b = b% of a
Example: 8% of 50 = 50% of 8, which is 4
The "Distributive Law" is the BEST one of all, but needs careful attention.
This is what it lets us do:
Distributive Law
3 lots of (2+4) is the same as 3 lots of 2 plus 3 lots of 4
So, the 3× can be "distributed" across the 2+4, into 3×2 and 3×4
And we write it like this:
a × (b + c) = a × b + a × c
Try the calculations yourself:
3 × (2 + 4) = 3 × 6 = 18
3×2 + 3×4 = 6 + 12 = 18
Either way gets the same answer.
In English we can say:
We get the same answer when we:
multiply a number by a group of numbers added together, or
do each multiply separately then add them
Uses:
Sometimes it is easier to break up a difficult multiplication:
Example: What is 6 × 204 ?
6 × 204 = 6×200 + 6×4
= 1,200 + 24
= 1,224
Or to combine:
Example: What is 16 × 6 + 16 × 4?
16 × 6 + 16 × 4 = 16 × (6+4)
= 16 × 10
= 160
We can use it in subtraction too:
Example: 26×3 - 24×3
26×3 - 24×3 = (26 - 24) × 3
= 2 × 3
= 6
We could use it for a long list of additions, too:
Example: 6×7 + 2×7 + 3×7 + 5×7 + 4×7
6×7 + 2×7 + 3×7 + 5×7 + 4×7
= (6+2+3+5+4) × 7
= 20 × 7
= 140
hope it helps u
Step-by-step explanation:
I think this will be helpful to you friend
