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
-39
1Step 1: Apply Unary Negation
Unary negation changes the sign of the number to which it is applied. Applying the unary negation operator to the numbers in the expression gives: \( \frac{6 \cdot 4 + 5 \cdot 3}{9 - 10} \)
2Step 2: Simplify Numerator and Denominator
Using the results from the last step and the rule of multiplication (which goes before addition and subtraction), compute the multiplication operations in the numerator, and subtraction operation in the denominator. This gives us \( \frac{24 + 15}{-1}\)
3Step 3: Compute Addition
Now we need to carry out the addition in the numerator. This results in \( \frac{39}{-1} \)
4Step 4: Division operation
The last step is to divide 39 by -1. This gives us -39.
Other exercises in this chapter
Problem 117
Use the order of operations to simplify each expression. $$\frac{2(-2)-4(-3)}{5-8}$$
View solution Problem 118
Use Einstein's special-relativity equation $$R_{a}=R_{f} \sqrt{1-\left(\frac{v}{c}\right)^{2}}$$ described in the Blitzer Bonus on page \(47,\) to solve this ex
View solution Problem 119
The mass of one oxygen molecule is \(5.3 \times 10^{-23}\) gram. Find the mass of \(20,000\) molecules of oxygen. Express the answer in scientific notation.
View solution Problem 119
Use the order of operations to simplify each expression. $$\frac{(5-6)^{2}-2|3-7|}{89-3 \cdot 5^{2}}$$
View solution