Let's solve the expression step by step:

### Given:
\[
40 \times (15 \times 4 - 42) \div 90
\]

### Step 1: Solve inside the parentheses.
\[
15 \times 4 = 60
\]
\[
60 - 42 = 18
\]

### Step 2: Substitute back into the expression.
\[
40 \times 18 \div 90
\]

### Step 3: Multiply.
\[
40 \times 18 = 720
\]

### Step 4: Divide by 90.
\[
720 \div 90 = 8
\]

### Final Answer:
\[
40 \times (15 \times 4 - 42) \div 90 = 8
\]

Would you like more details or have any questions? 

Here are some related questions for further practice:
1. What is the value of \( 50 \times (12 - 4) \div 16 \)?
2. Simplify \( (30 \times 6 - 12) \div 9 \).
3. Solve \( 60 \times (10 + 5) \div 30 \).
4. What is \( 80 \times (14 - 7) \div 10 \)?
5. Simplify \( (20 + 5) \times 4 \div 2 \).

**Tip:** Always follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (PEMDAS).

Learn how to solve the expression 40 x (15 x 4 – 42) ÷ 90 step by step using the order of operations (PEMDAS). This problem involves basic arithmetic concepts such as multiplication, division, and parentheses. Suitable for students in Grades 6-8.

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