-5.37 + 8.14 – 1.89
The Correct Answer and Explanation is:
Correct Answer:
0.88
Explanation:
To solve the expression -5.37 + 8.14 – 1.89, begin by handling the operations step by step from left to right. This expression involves both positive and negative decimal numbers, and the order of operations is based on standard addition and subtraction rules.
First, consider the initial two numbers:
-5.37 + 8.14
This involves adding a negative number and a positive number. When combining a negative and a positive, subtract the smaller absolute value from the larger, then apply the sign of the number with the larger absolute value.
Here, the absolute value of 8.14 is larger than that of 5.37. So, compute:
8.14 – 5.37 = 2.77
Since 8.14 is positive and its absolute value is larger, the result is positive:
Result = 2.77
Now take this result and subtract the next value in the original expression:
2.77 – 1.89
Both numbers here are positive, and simple subtraction applies:
2.77 – 1.89 = 0.88
This gives the final answer:
0.88
This problem showcases how negative numbers interact with positive ones during basic arithmetic operations. When combining such values, subtraction often becomes necessary. It is crucial to pay attention to the signs and the relative size of each number. By carefully proceeding step by step and ensuring decimal alignment during subtraction, the correct total is obtained. Decimal values must be lined up correctly to avoid calculation errors. Even minor misplacement of a decimal point can result in significant mistakes. Thus, accuracy in handling both signs and digits in decimal arithmetic plays a vital role in achieving a reliable outcome.
