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Chapter 1: Problem 571

Add or subtract. $$ 15+0.73 $$

Short Answer

Expert verified
15.73

Step by step solution

01

Identify the Operation

Determine what mathematical operation is required. In this case, it is addition.
02

Align the Numbers

Align the decimal numbers for adding. Write 15 as 15.00 to match the number of decimal places in 0.73.
03

Perform the Addition

Add the numbers column by column starting from the rightmost digit: \[ 15.00 + 0.73 = 15.73 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal Addition
Adding decimal numbers is a fundamental skill in elementary algebra. It's important because decimals are used in everyday life, such as in money. To add decimals, you align the numbers by their decimal points and then add them as you would whole numbers. In the exercise presented, we need to add 15 and 0.73. This covers a core concept of aligning and adding decimal values seamlessly.
Place Value Alignment
When working with decimals, aligning the place values correctly is crucial. This means lining up the decimal points of the numbers you are adding or subtracting. For instance, to add 15 and 0.73, we rewrite 15 as 15.00. This helps make the columns line up perfectly:

  • Place the 1 in the tens column.
  • Place the 5 in the ones column.
  • Both numbers now have two digits after the decimal point.

With this alignment, you can proceed to add the numbers column by column, starting from the rightmost digit.
Step-by-Step Math Solutions
A step-by-step approach helps break down complex problems into manageable parts. For our exercise:

  • Step 1: Identify the operation. Here, it's addition.
  • Step 2: Align the decimal numbers. Rewrite 15 as 15.00 to match the number of digits in 0.73.
  • Step 3: Perform the addition. Add the numbers column by column starting from the rightmost digit.

In the end, we get the result of 15.00 plus 0.73, which equals 15.73. This methodical approach helps clarify how the addition is performed and ensures that no detail is overlooked.

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