Problem 574 Add or subtract. $$ 94.69-(-... [FREE SOLUTION]

Chapter 1: Problem 574

Add or subtract. $$ 94.69-(-12.678) $$

Short Answer

Expert verified

107.368

Step by step solution

Identify the operation

Notice the operation given is subtraction: 94.69 - (-12.678). When subtracting a negative number, it is equivalent to adding the positive equivalent of that number.

Convert the subtraction

Convert the subtraction of a negative number into the addition of a positive number. So, 94.69 - (-12.678) becomes 94.69 + 12.678.

Perform the addition

Now, add the two numbers together: 94.69 + 12.678.

Calculate the result

To add 94.69 and 12.678, align the decimal points and add the numbers: 94.690+12.678-------107.368

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Key Concepts

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

Subtracting Negative Numbers

When you see a problem that asks you to subtract a negative number, remember that it's just like adding a positive number. This rule helps turn what looks like a tricky problem into something much simpler. So, for example, if the problem is $94.69 - (-12.678)$, you can convert it to $94.69 + 12.678$. Simply put, the double negative turns into a plus. This is because subtracting a negative is the same as adding its positive counterpart.

Decimal Addition

Decimal addition might seem daunting at first, but it鈥檚 a lot like adding whole numbers. The key is to keep all the decimal points aligned. In our example, once we've changed $94.69 - (-12.678)$ to $94.69 + 12.678$, we need to add these two decimal numbers together. Make sure to line up the decimal points before you add:

\[ \begin{array}{r} 94.690\ + 12.678\ \ \ \ \ \ \underline{107.368} \ \ \ \end{array} \]

By lining up the decimal points properly, we can add each column just like we would with whole numbers. Starting from the right-most column and moving to the left.

Aligning Decimal Points

Before you add or subtract decimal numbers, it's crucial to align the decimal points. This step ensures that each digit is in the proper column, just like place values with whole numbers. For example, lining up $94.690$ and $12.678$ would look like this:

\[ \begin{array}{r} 94.690\ + 12.678\ \ \ \ \ \ \underline{107.368} \ \ \ \end{array} \]

Notice how each digit falls under the correct place value: hundredths under hundredths, tenths under tenths, and so on. Misalignment can lead to errors in your final answer.

Thus, when dealing with decimal operations, always align your decimal points properly to ensure accurate results.

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91影视

Add or subtract. $$ 94.69-(-12.678) $$

Short Answer

Step by step solution

Identify the operation

Convert the subtraction

Perform the addition

Calculate the result

Key Concepts

Subtracting Negative Numbers

Decimal Addition

Aligning Decimal Points

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