what is 22 over 7 times 3 times 4 plus 22 over 7 times 3 to the second power
To solve this expression, you'll need to follow the order of operations, also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the expression and solve it step by step:
1) Start with the multiplication: 22/7 * 3 * 4
First, multiply 3 and 4: 3 * 4 = 12
Then, multiply the result by 22/7: 22/7 * 12 = 264/7 or 37.7142857 (approximated)
So, the first part of the expression, 22/7 times 3 times 4, equals 37.7142857 (approximated).
2) Moving on to the second part of the expression: 22/7 * 3^2
First, calculate the exponent: 3^2 = 3 * 3 = 9
Next, multiply the result by 22/7: 22/7 * 9 = 198/7 or 28.2857143 (approximated)
So, the second part of the expression, 22/7 times 3 to the second power, equals 28.2857143 (approximated).
3) Add the results of the two parts together: 37.7142857 + 28.2857143 = 66 (approximated)
Therefore, the overall expression evaluates to 66 (approximated).