Let's solve the expression step by step:

The expression is:

\[
87 + 12.2(14) - 1.1(14)^2
\]

### Step 1: Simplify the terms involving multiplication.

- \(12.2(14)\) becomes:

\[
12.2 \times 14 = 170.8
\]

- \(1.1(14)^2\) becomes:

\[
1.1 \times (14)^2 = 1.1 \times 196 = 215.6
\]

### Step 2: Substitute the simplified terms back into the expression.

\[
87 + 170.8 - 215.6
\]

### Step 3: Perform the addition and subtraction.

\[
87 + 170.8 = 257.8
\]

\[
257.8 - 215.6 = 42.2
\]

Thus, the result of the expression is:

\[
\boxed{42.2}
\]

Would you like further details on any of the steps?

Here are 5 related questions for practice:
1. Simplify: \( 50 + 8(10) - 2(5)^2 \)
2. Solve: \( 100 + 5.5(12) - 1.5(12)^2 \)
3. What is the value of \( 9 + 3(20) - 2(15)^2 \)?
4. Calculate: \( 120 + 10.2(16) - 2.1(12)^2 \)
5. Evaluate: \( 75 + 15(7) - 2.5(5)^2 \)

**Tip:** When solving mixed expressions, always simplify powers and products before performing addition and subtraction.

Discover how to solve the expression 87 + 12.2(14) − 1.1(14)^2 with a clear, step-by-step breakdown. This problem involves multiplication, powers, and the order of operations (PEMDAS). Ideal for students in Grades 6-8.

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