What is the value of the expression 10, dot, 7, plus, 10, dot, 2, squared, plus, 2
The value of the expression 10 dot 7 plus 10 dot 2 squared plus 2 is:
10 * 7 + 10 * 2^2 + 2
= 70 + 10 * 4 + 2
= 70 + 40 + 2
= 112
To evaluate the expression step-by-step, we first need to follow the order of operations, which states that we should perform any calculations inside parentheses first, then any exponents (such as squared numbers), followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
The expression is: 10 * 7 + 10 * 2^2 + 2.
1. First, let's perform the exponentiation: 10 * 7 + 10 * (2^2) + 2.
2^2 = 2 * 2 = 4.
2. Next, let's multiply: 10 * 7 + 10 * 4 + 2.
10 * 7 = 70.
10 * 4 = 40.
3. Now, let's add: 70 + 40 + 2.
70 + 40 = 110.
4. Finally, let's add: 110 + 2 = 112.
Therefore, the value of the expression 10.7 + 10.2^2 + 2 is 112.