what is the value of this expression? 0.3(1/4-1)+0.35

Let's break down the expression step by step:

The given expression is:

\[
0.3 \left(\frac{1}{4} - 1\right) + 0.35
\]

1. **Evaluate the expression inside the parentheses**:
   \[
   \frac{1}{4} - 1 = \frac{1}{4} - \frac{4}{4} = -\frac{3}{4}
   \]

2. **Multiply the result by 0.3**:
   \[
   0.3 \times \left(-\frac{3}{4}\right) = -0.225
   \]

3. **Add 0.35 to the result**:
   \[
   -0.225 + 0.35 = 0.125
   \]

So, the value of the expression is:

\[
\boxed{0.125}
\]

Would you like more details, or do you have any questions?

Here are five related questions:
1. What is the value of \( 0.5 \times \left( \frac{2}{3} - \frac{5}{3} \right) + 0.6 \)?
2. How do you handle subtraction of fractions with different denominators?
3. What is the result of multiplying a decimal by a fraction?
4. How do parentheses affect the order of operations in complex expressions?
5. Can the distributive property be used for solving this type of expression?

**Tip**: Always perform operations inside parentheses first to ensure the correct order of operations!

Find the value of the expression 0.3(1/4 - 1) + 0.35 with a detailed step-by-step solution. This problem involves subtracting fractions, multiplying decimals with fractions, and using the distributive property. Suitable for students in Grades 6-8.

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