State the property of integers represented by
the following statements.
a) (3 + 2) + 4 = 3 +(2+4)
b) 210 x 0 = 0
c) 968 x 1 = 968
d) 81 x(50 - 15)= 81 50 - 81 x 15
e) 325+800+ 275 = 800+600
f) 195 x(10-6)= 195 x 10- 195 x 6
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Answer:
a) communicative property
b) property of zero
c) multiplicative additive identity
d) distributive law of multiplication over subtraction
e) aissociative property
f) distributive law of multiplication over subtraction
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Answer:
- Communicative property
- Property of Zero
- Multiplicative additive identity
- Distributive law of multiplication over subtraction
- Associative property
- Distributive law of multiplication over subtraction
Explanation:
Communicative property:
- According to the commutative property, when two numbers are added together or multiplied, the order in which they appear does not affect the result's total or product.
- A + B = B + A is how the commutative property of addition is expressed.
- Multiplication's commutative property is expressed as AxB = BxA.
Property of Zero:
- The property is known as the additive identity property, and 0 is referred to as the additive identity.
- Any number multiplied by zero has a value of 0.
- Thus, multiplying any integer by 0 results in the value 0.
- When a number is multiplied by 1, it remains unaltered.
Multiplicative additive identity:
- Any real number's additive identity is zero, or 1.
- Any real number's multiplicative identity is 1, therefore a + 0 = a, where an is any real number, serves as the symbol for it.
- A real number, a, may be used to represent it as an x 1 = a.
Distributive law of multiplication over subtraction:
- According to the distributive property of multiplication over subtraction, multiplying a number by the difference of two additional numbers results in a result that is equal to the difference between the products of the distributed number.
Associative property:
- According to the associative property, if three or more integers are classified differently, the total or product does not change.
- This associative characteristic is relevant to addition and multiplication.
- Both (A + B) + C = A + (B + C) and (A + B) C = A + (BxC) are used to represent it.
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