Classify the following equation 83 + (-11) = 72 and tell if it is a) true b) false c) open
Choose the correct answer
b) false
Please, explain and show your work why it is false.
To determine if the equation is true or false, we need to evaluate the expression on the left side of the equation and compare it to the value on the right side of the equation.
Let's apply the addition operation to 83 and -11:
83 + (-11) = 72
83 - 11 = 72
72 = 72
As we can see, the left side of the equation simplifies to 72, while the right side of the equation is already 72. Since both values are equal, the equation is true, not false.
Therefore, the correct answer is:
a) true
To classify the equation 83 + (-11) = 72, we need to solve it and determine its truth value.
Step 1: Start by simplifying the expression within the parentheses. (-11) is the additive inverse of 11, so it becomes -11.
Step 2: Add the numbers: 83 + (-11) = 72
Step 3: Simplify the addition: 83 + (-11) equals 72.
Step 4: Compare the result to the right-hand side of the equation. Since 72 is equal to 72, the equation is true.
Therefore, the correct answer is a) true.