? % of (22646 – 19136) = 81 + 6*6
Understand the Problem
The question is asking to find the percentage of the difference between 22646 and 19136, which is equal to the result of the expression 81 + 6*6. We will calculate the difference first, then solve for the percentage that equals the given expression.
Answer
The percentage is $3000\%$.
Answer for screen readers
The percentage of the difference between 22646 and 19136 compared to the value of the expression (81 + 6 \times 6) is (3000%).
Steps to Solve
- Calculate the Difference
First, we need to find the difference between the two numbers: $$ \text{Difference} = 22646 - 19136 $$ Calculating gives: $$ \text{Difference} = 3510 $$
- Evaluate the Expression
Next, we compute the value of the expression (81 + 6 \times 6): $$ 6 \times 6 = 36 $$ Then add 81: $$ 81 + 36 = 117 $$
- Calculate the Percentage
Now we need to find what percentage the difference (3510) is of the value from the expression (117): $$ \text{Percentage} = \left( \frac{\text{Difference}}{\text{Expression Value}} \right) \times 100 = \left( \frac{3510}{117} \right) \times 100 $$ Calculating this gives: $$ \text{Percentage} = 3000 % $$
The percentage of the difference between 22646 and 19136 compared to the value of the expression (81 + 6 \times 6) is (3000%).
More Information
The result indicates that the difference is significantly larger than the value calculated from the expression. In this case, it's 30 times larger, showing how large differences can be in percentage terms.
Tips
- Forgetting to perform multiplication before addition when evaluating expressions.
- Confusing the order of operations, leading to incorrect percentage calculations.
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