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Answer :
Certainly! Let's solve the problem step-by-step:
The equation given is [tex]\(126 + 0 = 126\)[/tex].
To identify which property of addition this equation represents, let's look at the options one by one:
1. Associative Property: This property is about grouping numbers. It states that the way in which numbers are grouped in an addition problem does not change their sum. For example, [tex]\((a + b) + c = a + (b + c)\)[/tex]. The equation [tex]\(126 + 0 = 126\)[/tex] does not involve grouping, so this property does not apply here.
2. Commutative Property: This property states that the order in which numbers are added does not change the sum. For example, [tex]\(a + b = b + a\)[/tex]. This does not directly apply to [tex]\(126 + 0 = 126\)[/tex] because it concerns ordering rather than the presence of zero.
3. Identity Property: This property of addition states that adding zero to any number does not change the number. For any number [tex]\(a\)[/tex], [tex]\(a + 0 = a\)[/tex]. In this case, [tex]\(126 + 0 = 126\)[/tex] perfectly illustrates this property because adding zero to 126 results in 126.
Therefore, the property of addition shown by the equation [tex]\(126 + 0 = 126\)[/tex] is the Identity Property.
The equation given is [tex]\(126 + 0 = 126\)[/tex].
To identify which property of addition this equation represents, let's look at the options one by one:
1. Associative Property: This property is about grouping numbers. It states that the way in which numbers are grouped in an addition problem does not change their sum. For example, [tex]\((a + b) + c = a + (b + c)\)[/tex]. The equation [tex]\(126 + 0 = 126\)[/tex] does not involve grouping, so this property does not apply here.
2. Commutative Property: This property states that the order in which numbers are added does not change the sum. For example, [tex]\(a + b = b + a\)[/tex]. This does not directly apply to [tex]\(126 + 0 = 126\)[/tex] because it concerns ordering rather than the presence of zero.
3. Identity Property: This property of addition states that adding zero to any number does not change the number. For any number [tex]\(a\)[/tex], [tex]\(a + 0 = a\)[/tex]. In this case, [tex]\(126 + 0 = 126\)[/tex] perfectly illustrates this property because adding zero to 126 results in 126.
Therefore, the property of addition shown by the equation [tex]\(126 + 0 = 126\)[/tex] is the Identity Property.
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