What is 8 + 11 in the given pattern?
Understand the Problem
The question presents a sequence of equations that do not follow standard arithmetic rules. It requires deciphering the pattern to determine the value of 8 + 11.
Answer
The result of $8 + 11$ is $96$.
Answer for screen readers
The value of $8 + 11$ is $96$.
Steps to Solve
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Identify the Pattern in the Equations
The first step is to look for a consistent pattern in the given equations.
- For $1 + 4 = 5$, we see that $1 \times 4 + 1 = 5$.
- For $2 + 5 = 12$, applying the same pattern: $2 \times 5 + 2 = 12$.
- For $3 + 6 = 21$, we have $3 \times 6 + 3 = 21$.
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Determine the Expression for the Last Equation
It seems the pattern established is:
$$ a + b = a \times b + a $$
where $a$ is the first number and $b$ is the second number.
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Apply the Pattern to Find the Result for 8 + 11
Now we apply the identified pattern for the equation $8 + 11$:
$$ 8 + 11 = 8 \times 11 + 8 $$
First, calculate $8 \times 11$:
$$ 8 \times 11 = 88 $$
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Calculate the Sum Using the Pattern
Then, add $8$ to this result:
$$ 88 + 8 = 96 $$
The value of $8 + 11$ is $96$.
More Information
This problem illustrates how non-standard arithmetic operations can be used to see patterns. The exercises often challenge conventional thinking and require finding underlying rules governing the outcomes.
Tips
Common mistakes include:
- Not recognizing the non-standard operation pattern.
- Assuming traditional addition applies without analyzing the examples closely.
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