Problem

Subtract 0-3/2

The question provided is asking you to perform a subtraction operation between two numbers: the integer zero (0) and the mixed number negative three halves (-3/2). The task is to calculate the result of this subtraction.

$0 - \frac{3}{2}$

Answer

Expert–verified

Solution:

Step 1:

Start by taking away $\frac{3}{2}$ from $0$. This gives us $0 - \frac{3}{2}$.

Step 2:

We can express the outcome in various representations. Here are some:

  • In its exact fraction form, the answer is $- \frac{3}{2}$.

  • Converted to decimal, the answer is $- 1.5$.

  • As a mixed number, the result is $- 1 \frac{1}{2}$.

Knowledge Notes:

Subtraction of fractions and mixed numbers is a fundamental concept in arithmetic. Here are the relevant knowledge points related to this problem:

  1. Subtracting Fractions: To subtract fractions, they must have a common denominator. Since we are subtracting from zero, we simply take the negative of the fraction.

  2. Negative Fractions: A negative fraction is simply a fraction that is less than zero. It can be represented with the negative sign before the numerator or the whole fraction.

  3. Fraction to Decimal Conversion: To convert a fraction to a decimal, divide the numerator by the denominator. For $\frac{3}{2}$, divide 3 by 2 to get 1.5.

  4. Mixed Numbers: A mixed number is a whole number and a fraction combined into one "mixed" number. To convert an improper fraction (where the numerator is larger than the denominator) to a mixed number, divide the numerator by the denominator to find the whole number part and use the remainder as the new numerator over the original denominator.

  5. Negative Mixed Numbers: Similar to negative fractions, a negative mixed number is a mixed number that represents a value less than zero. The negative sign applies to the whole mixed number.

In this problem, we are dealing with a simple subtraction of a fraction from zero, which results in a negative fraction. This negative fraction can be represented in its exact form, as a decimal, or as a mixed number.

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