Question

Evaluate the expression
$2-7+(-2)$

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: $2-7+(-2)$

$$\begin{gathered} =2-7\underbrace{+(-2)} \\ =\underbrace{2-7}-2[\because a-b,\mathrm{where}b>a,\mathrm{then}a-b\mathrm{is}-ve] \\ =-5-2[\because -a-b=(-a)+(-b)=-(a+b\left)\right] \\ =-7 \end{gathered}$$

Therefore, the value of $2-7+(-2)$ is$-7$.