It is usually applied in arithmetic to simplify multiplication.
For example, find the value of 9*46.
Now, my knowledge of the 9 times table does not extend to 46 nines and I certainly do not know the 46 times table but, using the distributive property:
9 * 46 = 9*(40 + 6)
= 9*40 + 9*6 [That's the step where the distributive property was used]
and, now its easy. I know 9*4 = 36 so 9*40 = 360 and 9*6 = 56
Thus 9 * 46 = 360 + 56 = 416.
No.
No, it is not.
Similarities: the sum does not depend on which number you start with (distributive)Differences: you must find a common denominator for the fractions (whole numbers have a common denominator [1]
Commutative property: a + b = b + a; example: 4 + 3 = 3 + 4 Associative property: (a + b) + c = a + (b + c); example: (1 + 2) + 3 = 1 + (2 + 3) Closure property: The sum of two numbers of certain sets is again a number of the set. All of the above apply similarly to addition of fractions, addition of real numbers, and multiplication of whole numbers, fractions, or real numbers.
Yes there is.Closure means that if x and y are any two whole numbers then x - y must be a whole number.
The distributive property combines addition and multiplication to make multiplying whole numbers easier. This property states that for any three numbers a, b, and c, a x (b + c) = a x b + a x c. By applying the distributive property, we can break down complex multiplication problems into simpler steps, ultimately making calculations more manageable and efficient.
No.
No, it is not.
The distributive property is important because it combines both addition and multiplication. This property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. For example:3(2 + 5) = 3 x 2 + 3 x 53(7) = 6 + 1521 = 21if we let a, b, and c be any whole numbers, thena(b + c) = ab + ac
yes
No it is not an associative property.
Similarities: the sum does not depend on which number you start with (distributive)Differences: you must find a common denominator for the fractions (whole numbers have a common denominator [1]
Both.
yes
Factors apply to whole numbers, not decimals.
Commutative property: a + b = b + a; example: 4 + 3 = 3 + 4 Associative property: (a + b) + c = a + (b + c); example: (1 + 2) + 3 = 1 + (2 + 3) Closure property: The sum of two numbers of certain sets is again a number of the set. All of the above apply similarly to addition of fractions, addition of real numbers, and multiplication of whole numbers, fractions, or real numbers.
No it is not. 85 and 99 and co-prime so the only positive whole number in common is 1.