Answer :
To solve the equation [tex]\(99 + 89 = 89 + x\)[/tex], we can follow these steps:
1. Recognize the Equation: Notice that the problem is asking for the unknown value [tex]\(x\)[/tex] that completes the equation.
2. Use the Commutative Property: The commutative property of addition tells us that numbers can be added in any order without changing the sum. This means that [tex]\(99 + 89\)[/tex] is the same as [tex]\(89 + 99\)[/tex].
3. Set Up the Equation: We can see that the equation is already set up such that:
[tex]\[
99 + 89 = 89 + x
\][/tex]
4. Identify the Unknown: The numbers on the right side of the equation are [tex]\(89 + x\)[/tex]. Since the left side equals the right side, we can conclude that for both sides to remain equal, [tex]\(x\)[/tex] must be the number that, when added to 89, results in the same sum as adding 99 to 89.
5. Determine the Value of [tex]\(x\)[/tex]: Since [tex]\(99 + 89\)[/tex] equals the sum the equation seeks, and 89 is already on the right side, [tex]\(x\)[/tex] must be 99. This means that [tex]\(x\)[/tex] represents the number needed to match the sum on the left.
6. Conclusion: Therefore, the correct value of [tex]\(x\)[/tex] is 99.
So, the final answer is [tex]\(x = 99\)[/tex].
1. Recognize the Equation: Notice that the problem is asking for the unknown value [tex]\(x\)[/tex] that completes the equation.
2. Use the Commutative Property: The commutative property of addition tells us that numbers can be added in any order without changing the sum. This means that [tex]\(99 + 89\)[/tex] is the same as [tex]\(89 + 99\)[/tex].
3. Set Up the Equation: We can see that the equation is already set up such that:
[tex]\[
99 + 89 = 89 + x
\][/tex]
4. Identify the Unknown: The numbers on the right side of the equation are [tex]\(89 + x\)[/tex]. Since the left side equals the right side, we can conclude that for both sides to remain equal, [tex]\(x\)[/tex] must be the number that, when added to 89, results in the same sum as adding 99 to 89.
5. Determine the Value of [tex]\(x\)[/tex]: Since [tex]\(99 + 89\)[/tex] equals the sum the equation seeks, and 89 is already on the right side, [tex]\(x\)[/tex] must be 99. This means that [tex]\(x\)[/tex] represents the number needed to match the sum on the left.
6. Conclusion: Therefore, the correct value of [tex]\(x\)[/tex] is 99.
So, the final answer is [tex]\(x = 99\)[/tex].
