Problem 117
Question
Use the order of operations to simplify each expression. $$\frac{2(-2)-4(-3)}{5-8}$$
Step-by-Step Solution
Verified Answer
The simplified expression is \( -\frac{8}{3} \)
1Step 1: Apply BIDMAS (Brackets, Indices, Division and Multiplication, Addition and Subtraction)
The first operations in the numerator are multiplication and the operation in the denominator is subtraction. In the numerator we have two multiplications to perform: \( 2(-2) \) and \( -4(-3) \). In the denominator, perform the subtraction operation \( 5-8 \).
2Step 2: Simplify the calculations
Performing the multiplication in the numerator gives us \( -4 \) and \( 12 \) correspondingly. Subtracting \( 8 \) from \( 5 \) in the denominator gives us \( -3 \). Our expression is now \( \frac{-4+12}{-3} \)
3Step 3: Continue to simplify the numerator
By adding \( -4 \) and \( 12 \) we get \( 8 \). Substitute this back into the expression to get \( \frac{8}{-3} \)
4Step 4: Perform the division operation
Finally, divide \( 8 \) by \( -3 \). The result is \( -\frac{8}{3} \), which is the simplified version of the original expression.
Other exercises in this chapter
Problem 117
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