Questions: Explain how the model below can be used to illustrate each of the following addition and subtraction facts in parts a) through d). 13 9 4 9 a) 9+4=13 A. When 9 and 4 are put next to each other, it is equal to the same length as 13. B. When 13 and 4 are put next to each other, it is equal to the same length as 9. C. The model cannot be used to illustrate the addition fact. b) 4+9=13 A. When 9 and 4 are put next to each other, it is equal to the same length as 13. B. If 9 and 4 are put together on top of 4 and 9 put together, they both equal 13. C. The model cannot be used to illustrate the addition fact.

Explain how the model below can be used to illustrate each of the following addition and subtraction facts in parts a) through d). 13 9 4 9 a) 9+4=13 A. When 9 and 4 are put next to each other, it is equal to the same length as 13. B. When 13 and 4 are put next to each other, it is equal to the same length as 9. C. The model cannot be used to illustrate the addition fact. b) 4+9=13 A. When 9 and 4 are put next to each other, it is equal to the same length as 13. B. If 9 and 4 are put together on top of 4 and 9 put together, they both equal 13. C. The model cannot be used to illustrate the addition fact.
Transcript text: Explain how the model below can be used to illustrate each of the following addition and subtraction facts in parts a) through d). 13 \begin{tabular}{|l|l|} \hline 9 & 4 \\ \hline 9 \\ \hline \end{tabular} a) $9+4=13$ A. When 9 and 4 are put next to each other, it is equal to the same length as 13. B. When 13 and 4 are put next to each other, it is equal to the same length as 9. C. The model cannot be used to illustrate the addition fact. b) $4+9=13$ A. When 9 and 4 are put next to each other, it is equal to the same length as 13. B. If 9 and 4 are put together on top of 4 and 9 put together, they both equal 13 . C. The model cannot be used to illustrate the addition fact.
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Solution

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Solution Steps

To solve the given problem, we need to understand how the model can be used to illustrate the addition and subtraction facts. The model consists of a table with two rows and two columns. The first row has two cells with values 9 and 4, and the second row has one cell with the value 9. We need to determine how this model can be used to illustrate the given addition facts.

a) $9+4=13$
  • The model shows that when 9 and 4 are put next to each other, their combined length is equal to 13.
b) $4+9=13$
  • The model shows that when 4 and 9 are put next to each other, their combined length is equal to 13.
Step 1: Define the Model

The model consists of two rows:

  • Row 1: \(9\) and \(4\)
  • Row 2: \(9\)
Step 2: Calculate the Sum of Row 1

The sum of the values in Row 1 is: \[ 9 + 4 = 13 \]

Step 3: Verify the Addition Fact \(9 + 4 = 13\)

Since the sum of Row 1 is \(13\), the model can be used to illustrate the addition fact \(9 + 4 = 13\).

Step 4: Calculate the Sum of Row 1 in Reverse Order

The sum of the values in Row 1 in reverse order is: \[ 4 + 9 = 13 \]

Step 5: Verify the Addition Fact \(4 + 9 = 13\)

Since the sum of Row 1 in reverse order is \(13\), the model can be used to illustrate the addition fact \(4 + 9 = 13\).

Final Answer

For part (a): \[ \boxed{A} \] For part (b): \[ \boxed{A} \]

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