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ANSWER: To simplify the expression \( 40 + \frac{20}{5} \times 7 - 10 \), we need to follow the order of operations, which is commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. **Identify and perform the division**:
\[
20 \div 5 = 4
\]
So, the expression becomes:
\[
40 + 4 \times 7 - 10
\]
2. **Next, perform the multiplication**:
\[
4 \times 7 = 28
\]
So, the expression now is:
\[
40 + 28 - 10
\]
3. **Then, perform the addition**:
\[
40 + 28 = 68
\]
So, the expression simplifies to:
\[
68 - 10
\]
4. **Finally, perform the subtraction**:
\[
68 - 10 = 58
\]
Therefore, the simplified value of the expression \( 40 + \frac{20}{5} \times 7 - 10 \) is \( 58 \).
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