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

2
+6 ?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

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:

\[ \boxed{3714.49} \]