Solve the expression 2(1.60+7)−4.90.
To solve the expression 2(1.60+7)−4.90, we start by calculating the expression inside the parentheses first:
1.60 + 7 = 8.60
Next, we multiply this result by 2:
2 * 8.60 = 17.20
Finally, we subtract 4.90 from this product:
17.20 - 4.90 = 12.30
Therefore, the value of the expression is 12.30.
To solve the expression 2(1.60+7)−4.90, we follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we simplify the expression within the parentheses:
1.60 + 7 = 8.60
Now replace the expression in the original equation with the simplified value:
2(8.60) − 4.90
Next, perform the multiplication:
2(8.60) = 17.20
Now substitute the product back into the equation:
17.20 - 4.90
Finally, perform the subtraction:
17.20 - 4.90 = 12.30
Therefore, the solution to the expression 2(1.60+7)−4.90 is 12.30.