Problem 51
Question
Simplify each series of additions and subtractions. $$13-2-(-8)$$
Step-by-Step Solution
Verified Answer
The simplified result of the series of additions and subtractions is 19.
1Step 1: Simplify the Expression Inside the Bracket
We have to simplify the expression within the bracket first because of the BIDMAS/BODMAS rule (brackets, indices/division, multiplication, addition, subtraction), which determines the order of operations in mathematics. So, deal with \(-(-8)\) first, which simplifies to \(+8\) because subtracting a negative is the same as adding a positive. So the equation now becomes \(13-2+8\).
2Step 2: Perform the Subtraction
Next, perform the subtraction operation. So, subtract 2 from 13, which equals 11. Don't forget that we still have \(+8\) to deal with. We then get \(11+8\).
3Step 3: Perform the Addition
Finally, perform the addition operation, add 8 to 11, which equals 19. So, the simplified series of additions and subtractions equals 19.
Other exercises in this chapter
Problem 50
Determine whether the given number is a solution of the equation. $$\frac{r}{9}=7 ; 63$$
View solution Problem 50
Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{4} \cdot \frac{6}{11}$$
View solution Problem 51
Perform the indicated division or state that the expression is undefined. $$\frac{-90}{-3}$$
View solution Problem 51
In Exercises \(29-72,\) use the order of operations to simplify each expression. $$\left[7+3\left(2^{3}-1\right)\right] \div 21$$
View solution