Questions: Fill in the blanks. Then, choose the property of addition you used. (a) 9+2=2+ (Choose one) (b) (5+4)+=5+(4+2) (Choose one) (c) +7=7 (Choose one)

Fill in the blanks. Then, choose the property of addition you used. (a) 9+2=2+ (Choose one) (b) (5+4)+=5+(4+2) (Choose one) (c) +7=7 (Choose one)
Transcript text: Fill in the blanks. Then, choose the property of addition you used. \begin{tabular}{|lr|l|} \hline (a) & $9+2=2+\square$ & (Choose one) \\ \hline (b) $\quad(5+4)+\square=5+(4+2)$ & (Choose one) \\ \hline (c) & $\square+7=7$ & (Choose one) \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify the Property

Given the property of addition as 'Commutative', we identify it as relevant to our equation.

Explanation: Using the Commutative Property of addition, which states that \(a + b = b + a\), we can rearrange the numbers without changing the sum.
Step 2: Apply the Property

By applying the Commutative Property, we can solve the equation or fill in the blanks accordingly.

Solution: The equation or filled blank using the Commutative Property is: 2 + 9
Step 3: Verification

Given the properties of addition are universally true under the rules of arithmetic operations with real numbers, we verify that the application of the property correctly solves the equation or completes the blank.

Final Answer:

The completed equation or filled blank, rounded to 0 decimal places where applicable, is: 2 + 9

Step 1: Identify the Property

Given the property of addition as 'Associative', we identify it as relevant to our equation.

Explanation: Using the Associative Property of addition, which states that \((a + b) + c = a + (b + c)\), we can change the grouping of the numbers without affecting the sum.
Step 2: Apply the Property

By applying the Associative Property, we can solve the equation or fill in the blanks accordingly.

Solution: The equation or filled blank using the Associative Property is: 5 + (4 + 2)
Step 3: Verification

Given the properties of addition are universally true under the rules of arithmetic operations with real numbers, we verify that the application of the property correctly solves the equation or completes the blank.

Final Answer:

The completed equation or filled blank, rounded to 0 decimal places where applicable, is: 5 + (4 + 2)

Step 1: Identify the Property

Given the property of addition as 'Identity', we identify it as relevant to our equation.

Explanation: Using the Identity Property of addition, which states that \(a = a\), we know adding zero to any number does not change its value.
Step 2: Apply the Property

By applying the Identity Property, we can solve the equation or fill in the blanks accordingly.

Solution: The equation or filled blank using the Identity Property is: 7
Step 3: Verification

Given the properties of addition are universally true under the rules of arithmetic operations with real numbers, we verify that the application of the property correctly solves the equation or completes the blank.

Final Answer:

The completed equation or filled blank, rounded to 0 decimal places where applicable, is: 7

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