c) $\sqrt{36+13}-6.9+3.2$
Answer (2)
The evaluated result of the expression 36 + 13 − 6.9 + 3.2 is 3.3 . This was calculated step by step, starting with the sum inside the square root, followed by evaluating the square root, then performing subtraction, and finally addition. Thus, the final answer is 3.3 .
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First, add the numbers inside the square root: 36 + 13 = 49 .
Then, evaluate the square root: 49 = 7 .
Next, subtract 6.9 from the result: 7 − 6.9 = 0.1 .
Finally, add 3.2 to the result: 0.1 + 3.2 = 3.3 . The final answer is 3.3 .
Explanation
Understanding the Problem We are asked to evaluate the expression 36 + 13 − 6.9 + 3.2 . We will proceed step by step, following the order of operations.
Calculate the Sum First, we calculate the sum inside the square root: 36 + 13 = 49 .
Evaluate the Square Root Next, we take the square root of the result: 49 = 7 .
Perform Subtraction Now, we subtract 6.9 from the result: 7 − 6.9 = 0.1 .
Perform Addition Finally, we add 3.2 to the result: 0.1 + 3.2 = 3.3 . Therefore, the value of the expression is 3.3.
Examples
This type of calculation is useful in many real-life situations, such as calculating distances or working with financial data. For example, if you are building a fence and need to calculate the length of a diagonal support, you might use the Pythagorean theorem, which involves square roots and addition. Similarly, if you are tracking your expenses and need to calculate your total spending after several transactions, you would use addition and subtraction.
