Question

Evaluate the expression:
$-39+46-(-39)$

Answer 1

Solving the given expression using the B.O.D.M.A.S rules

Step 1: First, simplify the brackets.

Step 2: Solve the exponent or root terms.

Step 3: Perform division or multiplication operation (from left to right)

Step 4: Perform addition or subtraction operation (from left to right)

The given expression is: $-39+46-(-39)$

$$\begin{gathered} =-36+46\underbrace{-(-39)} \\ =\underbrace{-39+46}+39[\because -(-a)=a] \\ =7+39[\because -a+b,\mathrm{where}b>a,\mathrm{then}-a+b\mathrm{is}+ve] \\ =46 \end{gathered}$$

Therefore, the value of $-39+46-(-39)$ is $46$.