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Chapter 1: Problem 132

Perform these computations. $$-0.241-0.3$$

Short Answer

Expert verified
-0.541

Step by step solution

01

Understand the problem

Recognize that the task requires performing a subtraction of two decimal numbers: a = -0.241 b = -0.3
02

Rewrite the subtraction as an addition

Realize that subtracting a negative number is the same as adding its positive. Therefore, rewrite the problem as -0.241 + (-0.3)
03

Convert the decimals to the same number of decimal places

To make the addition easier, align the decimals by converting -0.3 to -0.300.
04

Add the numbers

Now, add the two numbers by aligning their decimal points:-0.241 + (-0.300) ------------ -0.541

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Key Concepts

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

Subtraction of Decimals
Subtraction of decimals is an essential skill in arithmetic. When you subtract decimals, it is crucial to align the numbers by their decimal points. This alignment ensures accuracy in the calculations. For instance, to subtract 0.3 from 0.241, you can write them as:
-0.3
-0.241
However, you need to adjust the numbers so they have the same number of decimal places. In this case, convert -0.3 to -0.300. This way, it looks like:
-0.300
-0.241
Aligning the decimal points makes it easier to perform the subtraction accurately.
Negative Numbers
Handling negative numbers is another critical concept. When you see a problem like -0.241 - 0.3, know that subtracting a number is the same as adding its negative. Therefore, the equation -0.241 - 0.3 can be rewritten as -0.241 + (-0.3).
Converting subtraction into addition can simplify the calculation process. Using the negative sign means we are moving further left on the number line. So, adding a negative number further decreases the sum.
Addition of Decimals
Adding decimals involves the same principle of aligning decimal points. For example, when adding -0.241 and -0.300, ensure the decimal points align:
- 0.241
+ -0.300
------------
- 0.541
From the example above, you can see that aligning the numbers vertically by their decimal points helps in adding each column correctly. Finally, combine the numbers to find that -0.241 + (-0.3) = -0.541.
Remember, adding negative decimals results in a more negative number. Combining two negative values increases the magnitude of the negative result.

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