commutative , associative and closer property explanation please tell all answers
Answers
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Answer:
Commutative Laws
The "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
commute
Why "commutative" ... ?
Because the numbers can travel back and forth like a commuter.
Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8
Associative Laws
The "Associative Laws" say that it doesn't matter how we group the numbers (i.e. which we calculate first) ...
... when we add:
(a + b) + c = a + (b + c)
Associative Law addition
... or when we multiply:
(a × b) × c = a × (b × c)
Associative Law multiplication
Examples:
This: (2 + 4) + 5 = 6 + 5 = 11
Has the same answer as this: 2 + (4 + 5) = 2 + 9 = 11
This: (3 × 4) × 5 = 12 × 5 = 60
Has the same answer as this: 3 × (4 × 5) = 3 × 20 = 60
Uses:
Sometimes it is easier to add or multiply in a different order:
What is 19 + 36 + 4?
19 + 36 + 4 = 19 + (36 + 4)
= 19 + 40 = 59
Or to rearrange a little:
What is 2 × 16 × 5?
2 × 16 × 5 = (2 × 5) × 16
= 10 × 16 = 160
Step-by-step explanation:
hope the answer helps