Certainly! Let's solve the mathematical expression [tex]\((0,125) - 3\)[/tex].
1. Interpret the notation: It's important to understand that the notation [tex]\((0,125)\)[/tex] is typically used in some European countries to represent a decimal number. Here, [tex]\((0,125)\)[/tex] is equivalent to [tex]\(0.125\)[/tex] in standard decimal notation.
2. Understanding the operation: We are asked to subtract 3 from [tex]\(0.125\)[/tex].
3. Set up the subtraction:
[tex]\[
0.125 - 3
\][/tex]
4. Align the decimal point: To perform the subtraction, we need to ensure the decimal points are aligned properly. We will write the number [tex]\(3\)[/tex] as [tex]\(3.000\)[/tex] for ease of subtraction.
[tex]\[
\begin{array}{r}
0.125\\
-3.000
\end{array}
\][/tex]
5. Perform the subtraction: We subtract each digit starting from the rightmost digit moving to the left.
- Subtracting from the rightmost column:
[tex]\[
5 - 0 = 5
\][/tex]
- Moving to the next column:
[tex]\[
2 - 0 = 2
\][/tex]
- Next column:
[tex]\[
1 - 0 = 1
\][/tex]
- Finally, the leftmost column:
[tex]\[
0 - 3 = -3
\][/tex]
To handle the subtraction properly, we must account for the borrowing:
- Subtract [tex]\(0.125 - 3\)[/tex], which involves borrowing across the decimal point.
Another way to conceptualize:
[tex]\[
0.125 - 3 = 0.125 + (-3) \\
= 0.125 + (-3.000)
\][/tex]
When you combine [tex]\(0.125\)[/tex] and [tex]\(-3.000\)[/tex] step-by-step, the outcome will be:
[tex]\[
0.125 + (-3) = -2.875
\][/tex]
So the solution to the expression [tex]\((0,125) - 3\)[/tex] is:
[tex]\[
-2.875
\][/tex]
Therefore,
[tex]\[
0.125 - 3 = -2.875
\][/tex]
