Problem 52
Question
Simplify each series of additions and subtractions. $$14-3-(-7)$$
Step-by-Step Solution
Verified Answer
The simplified form of \(14-3-(-7)\) is 18.
1Step 1: Understand the Numbers and Signs
The expression is \(14-3-(-7)\). The \( (-7) \) is enclosed in parentheses and has a minus (-) sign in front of it. This means the \( (-7) \) will be added, because two negatives make a positive when subtracting.
2Step 2: Simplify Expression by Performing the First Operation
Perform the first operation which is \(14-3\) to simplify the expression. The result is \(11\). So, the expression now turns into \(11-(-7)\).
3Step 3: Perform the Next Calculation
In the expression \(11-(-7)\), convert the double negative into a positive: \(11-(-7) = 11+7\). Proceed to add 11 and 7 to get 18 as the final result.
Other exercises in this chapter
Problem 51
Simplify each algebraic expression. $$-8 a+(-15 a)$$
View solution Problem 51
Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\left(3 \frac{3}{4}\right)\left(1 \frac{3}{5}\right)$$
View solution Problem 52
Perform the indicated division or state that the expression is undefined. $$\frac{-66}{-6}$$
View solution Problem 52
In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\left[11-4\left(2-3^{3}\right)\right] \div 37$$
View solution