Answer :
Certainly! Let's explore the equation [tex]\( 5 + 0 = 5 \)[/tex] and identify which mathematical property it demonstrates.
### Step-by-Step Explanation:
1. Understanding the Given Equation:
- The equation presented is [tex]\( 5 + 0 = 5 \)[/tex].
2. Identifying the Mathematical Properties:
- Associative Property:
- This property involves how numbers are grouped in addition or multiplication. For addition, it states that [tex]\( (a + b) + c = a + (b + c) \)[/tex]. The given equation does not involve grouping multiple numbers, so this property is not applicable here.
- Commutative Property:
- This property indicates that changing the order of numbers in addition or multiplication does not change the result. For addition, it states that [tex]\( a + b = b + a \)[/tex]. The equation [tex]\( 5 + 0 = 5 \)[/tex] could be seen as an application of this property, as adding 0 to 5 (or 5 to 0) gives the same result, but it is more directly explained by another property.
- Distributive Property:
- This property involves both addition and multiplication, stating that [tex]\( a(b + c) = ab + ac \)[/tex]. The given equation does not involve multiplication distributing over addition, so this property is not demonstrated by the equation.
- Identity Property of Addition:
- This property states that any number plus zero equals the number itself. It essentially expresses that adding zero to any number does not change its value. This property is perfectly exemplified by the given equation [tex]\( 5 + 0 = 5 \)[/tex].
### Conclusion:
- The equation [tex]\( 5 + 0 = 5 \)[/tex] is a direct demonstration of the Identity Property of Addition. This property highlights that adding zero to any number leaves the number unchanged.
Thus, [tex]\( 5 + 0 = 5 \)[/tex] clearly shows the identity property of addition in action.
### Step-by-Step Explanation:
1. Understanding the Given Equation:
- The equation presented is [tex]\( 5 + 0 = 5 \)[/tex].
2. Identifying the Mathematical Properties:
- Associative Property:
- This property involves how numbers are grouped in addition or multiplication. For addition, it states that [tex]\( (a + b) + c = a + (b + c) \)[/tex]. The given equation does not involve grouping multiple numbers, so this property is not applicable here.
- Commutative Property:
- This property indicates that changing the order of numbers in addition or multiplication does not change the result. For addition, it states that [tex]\( a + b = b + a \)[/tex]. The equation [tex]\( 5 + 0 = 5 \)[/tex] could be seen as an application of this property, as adding 0 to 5 (or 5 to 0) gives the same result, but it is more directly explained by another property.
- Distributive Property:
- This property involves both addition and multiplication, stating that [tex]\( a(b + c) = ab + ac \)[/tex]. The given equation does not involve multiplication distributing over addition, so this property is not demonstrated by the equation.
- Identity Property of Addition:
- This property states that any number plus zero equals the number itself. It essentially expresses that adding zero to any number does not change its value. This property is perfectly exemplified by the given equation [tex]\( 5 + 0 = 5 \)[/tex].
### Conclusion:
- The equation [tex]\( 5 + 0 = 5 \)[/tex] is a direct demonstration of the Identity Property of Addition. This property highlights that adding zero to any number leaves the number unchanged.
Thus, [tex]\( 5 + 0 = 5 \)[/tex] clearly shows the identity property of addition in action.
