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Chapter 4: Problem 73

Calculate. \(\frac{1}{2}-0.5\)

Short Answer

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Step by step solution

01

Understand the problem

The task is to calculate the difference between two numbers: \( \frac{1}{2} \) and 0.5.
02

Convert the fraction to a decimal

Convert \( \frac{1}{2} \) to its decimal form. Divide 1 by 2 to get 0.5.
03

Subtract the decimals

Now subtract 0.5 from 0.5: \( 0.5 - 0.5 = 0 \).

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Key Concepts

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

Fractions to Decimals
Converting fractions to decimals is an essential math skill. A fraction like \( \frac{1}{2} \) can be transformed into a decimal by performing the division operation indicated by the fraction. In this case, we divide the numerator (1) by the denominator (2).
Let's break it down:
When you divide 1 by 2, you get 0.5. This means \( \frac{1}{2} \) is equivalent to 0.5 in decimal form.
Many fractions can be converted similarly, making it easier to perform operations like addition or subtraction with decimals rather than fractions.
Remember: Always ensure you're dividing the top number (numerator) by the bottom number (denominator) to get the correct decimal form.
Subtraction
Subtraction is taking one number away from another. It is a fundamental operation in arithmetic. When we're subtracting decimals, you need to align the decimal points before performing the operation.
In our example, we need to subtract 0.5 from 0.5:
  • First, write down both numbers ensuring their decimal points are aligned:
    0.5
    - 0.5
    ------
    0.0

  • Then, perform the subtraction: 0.5 minus 0.5 equals 0.0.

This simple subtraction shows us removing a value from itself results in zero. Understanding how to properly align and subtract decimals is crucial for avoiding mistakes.
Step-by-Step Solution
Solving math problems step-by-step makes complex concepts easier to understand. Let's revisit the steps from our problem:
  • Step 1: Understand the problem. You need to find the difference between two numbers, \( \frac{1}{2} \) and 0.5.

  • Step 2: Convert the fraction to a decimal. We converted \( \frac{1}{2} \) to 0.5 by dividing 1 by 2.

  • Step 3: Subtract the decimals. We then subtracted 0.5 from 0.5 to get 0.

These steps help ensure you understand and methodically approach the problem, breaking it into manageable pieces. Going step-by-step assures accuracy and helps build a strong foundation in mathematical problem-solving.

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