Question

What is the value of the expression 10, dot, 6, plus, 3, dot, 3, squared, plus, 610⋅6+3⋅3
2
+6 ?

Answer 1

To evaluate the expression \(10.6 + 3.3^2 + 610 \cdot 6 + 3 \cdot 3^2 + 6\), we need to do the calculations step by step.

1. **Calculate \(3.3^2\):**
\[
3.3^2 = 3.3 \times 3.3 = 10.89
\]

2. **Calculate \(3 \cdot 3^2\):**
\[
3^2 = 9 \quad \text{so} \quad 3 \cdot 3^2 = 3 \cdot 9 = 27
\]

3. **Calculate \(610 \cdot 6\):**
\[
610 \cdot 6 = 3660
\]

4. **Now, sum everything together:**
\[
10.6 + 10.89 + 3660 + 27 + 6
\]

Let's add these values step by step:

- First, add \(10.6 + 10.89\):
\[
10.6 + 10.89 = 21.49
\]

- Next, add \(21.49 + 3660\):
\[
21.49 + 3660 = 3681.49
\]

- Then, add \(3681.49 + 27\):
\[
3681.49 + 27 = 3708.49
\]

- Finally, add \(3708.49 + 6\):
\[
3708.49 + 6 = 3714.49
\]

So, the value of the expression \(10.6 + 3.3^2 + 610 \cdot 6 + 3 \cdot 3^2 + 6\) is:

\[
\boxed{3714.49}
\]