Add or subtract as indicated. 75.2 + 123.96 + 3.897
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Identify the numbers to be added: 75.2, 123.96, and 3.897.
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).
If a column adds up to 10 or more, carry over the extra value to the next column on the left.
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.
Addition of Decimals
Addition of decimals involves aligning the numbers by their decimal points and adding each column starting from the right. It is essential to ensure that each number has the same number of decimal places, which may require adding zeros to the shorter numbers. This process helps maintain accuracy in the sum.
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, with digits to the left of the decimal point representing whole numbers and those to the right representing fractional parts. Understanding place value is crucial for correctly performing operations with decimals.
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. In the case of addition, operations are typically performed from left to right. Familiarity with these rules is important for solving more complex expressions that may involve multiple operations.