Problem 118

Question

Use the order of operations to simplify each expression. $$\frac{6(-4)-5(-3)}{9-10}$$

Step-by-Step Solution

Verified
Answer
The simplified value of the given expression is 9.
1Step 1: Perform multiplication and subtraction in the numerator
In the numerator, perform the operation inside the brackets, which is -4*6 and -3*5. This results in -24 and -15, respectively. The expression then becomes -24 + 15.
2Step 2: Compute the value of the numerator and the denominator
Now, calculate the value of the numerator by adding -24 and 15, which equals -9. The denominator is straightforward to calculate: 9 - 10 = -1.
3Step 3: Perform division
Then, divide the numerator value by the denominator value. This is done by dividing -9 by -1, which is 9.