18. For any integers a, b, and c, (a + b) c = a + (b + c) . Different groupings of addends will not affect the sum.
=19 For any integers a_{1} b, and c, a(b + c) =ab+ac Adding first before multiplying or distributing the factor to each addend will give the same result.
20. For any integer a, a * 0 = 0 Any number multiplied by 0 is equal to 0.
21. For any integer a, a + - a = 0
22. For any integers a and b,a+b=b+
a. The order of addends will not affect the sum.
= 23. For any integer a, a + 0 = a .
The sum of any number and zero will always be equal to the number.
- 24 It is a well - definedf collection of
different objects.
=19 For any integers a_{1} b, and c, a(b + c) =ab+ac Adding first before multiplying or distributing the factor to each addend will give the same result.
20. For any integer a, a * 0 = 0 Any number multiplied by 0 is equal to 0.
21. For any integer a, a + - a = 0
22. For any integers a and b,a+b=b+
a. The order of addends will not affect the sum.
= 23. For any integer a, a + 0 = a .
The sum of any number and zero will always be equal to the number.
- 24 It is a well - definedf collection of
different objects.
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Answer:
18. E. Associative Property
19. F. Distributive Property
20. G. Zero Property
21. D. Additive Inverse Property
22. C. Commutative Property
23. B. Identity Property
24. T. Set
Step-by-step explanation:
In adding and multiplying, there are rules that are always true. These are called addition and multiplication properties. Below are the different properties:
1. Commutative Property
It states that changing the order of the addends or factors does not change the sum or product.
Ex. a+b = b+ a , a x b = b x a
2. Associative Property
It states that changing the grouping of the addends or the factors will not change the sum or the product.
Ex. (a + b) + c = a+ (b+c), (a x b) x c = a x (b x c)
3. Identity Property
a. Identity Property of Addition
The sum of any number and zero is that number
Ex. a + 0 = a
b. Identity Property of Multiplication
The product of one and any number is that number.
Ex. a x 1 = a
4. Distributive Property
The product of a factor and a sum is equal to the sum of the products
Ex. a x (b + c) = (a x b) + (a x c)
5. Zero Property
The product of any number and zero is always zero.
Ex. a x 0 = 0
6. Additive Inverse Property
The additive inverse of a number is its opposite number. The sum of a number and the additive inverse is always zero.
Ex a + (-a) = 0
Set on the other hand is a collection of elements.