Add or subtract as indicated. 25.32 + 109.2 + 8.574
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Identify the numbers to be added: 25.32, 109.2, and 8.574.
Align the numbers vertically by their decimal points to ensure accurate addition.
Add the numbers column by column, starting from the rightmost digit (the thousandths place) and moving to the left.
If a column's sum exceeds 9, carry over the extra value to the next left column.
Continue this process until all columns are added, ensuring to place the decimal point in the sum directly below the other decimal points.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Decimal Addition
Decimal addition involves aligning numbers by their decimal points to ensure accurate addition. Each digit is added starting from the rightmost side, carrying over any value greater than ten to the next left column. This method is essential for maintaining precision in calculations involving decimal numbers.
Place value refers to the value of a digit based on its position within a number. In decimal numbers, each position represents a power of ten, which is crucial for understanding how to add or subtract numbers correctly. Recognizing place value helps in organizing numbers and performing arithmetic operations accurately.
Rounding and estimation are techniques used to simplify calculations by approximating numbers to a certain degree of accuracy. While not directly required for the exact addition in this problem, understanding these concepts can help in quickly checking the reasonableness of the final answer, especially in real-world applications.