Let's solve the given expression step by step:

\[
\frac{0.7}{0.8 - (1 \times 0.1)}
\]

### Step 1: Simplify the multiplication
\[
1 \times 0.1 = 0.1
\]

### Step 2: Simplify inside the parentheses
\[
0.8 - 0.1 = 0.7
\]

### Step 3: Perform the division
\[
\frac{0.7}{0.7} = 1
\]

Thus, the result of the expression is **1**.

Do you want more details on any step or have any questions?

Here are 5 related questions to extend your understanding:
1. How do you handle division when there's a negative number?
2. What happens if you change the order of operations in an expression like this?
3. How would the result change if you used addition instead of subtraction in this expression?
4. How do parentheses affect the order of operations in complex expressions?
5. Can you solve similar expressions with variables instead of constants?

**Tip:** Always perform operations inside parentheses first according to the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Learn how to solve the expression 0.7 ÷ (0.8 - 1 × 0.1) step-by-step using the order of operations (PEMDAS). This guide breaks down key concepts in arithmetic, including division, multiplication, and subtraction. Suitable for students in Grades 6-8.

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