Next, we find the square of 0.2. Since 2 × 2 = 4, with two decimal digits the result is 0.04.

Now, multiply 0.2 by the square we just found, which is 0.04. Multiplying gives (0.2)³ = 0.008 with three decimal places.

Find the sum of the square of 3.5 and the product of 0.2 and the square of 0.2.

Answer: $12.258$

Step-by-step solution

Step 1: Calculate the square of 3.5

We begin by evaluating the first term, which is the square of $3.5$ . Multiplying $35$ by $35$ gives $1225$ , so placing two decimal places yields $12.25$ .

Step 2: Calculate the square of 0.2

Next, we find the square of $0.2$ . Since $2 \times 2 = 4$ , with two decimal digits the result is $0.04$ .

Step 3: Calculate the product of 0.2 and the square of 0.2

Now, multiply $0.2$ by the square we just found, which is $0.04$ . Multiplying gives $(0.2)^3 = 0.008$ with three decimal places.

Step 4: Find the sum of the two quantities

Finally, we add the two calculated values together: $12.25 + 0.008 = 12.258$ .

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