Q2B. - Algebra 1

Question

Evaluate the expression $20-7+8^2-7\cdot 11$.

Step-by-Step Solution

Answer

The simplification expression of $20-7+8^2-7\cdot 11$ is 0.

Step 1. Apply the BODMAS rule.

According to the BODMAS rule of simplification, at first, the multiplication operation must be completed followed by addition and then subtraction.

Step 2. Example of applying BODMAS rule.

The expression $2-5^2+20$ can be written as

$\begin{array}{l}2-5^2+20=2-(5\times 5)+20\\ \hspace{0.17em}=2-25+20\\ \hspace{0.17em}=(2+20)-25\\ \hspace{0.17em}=22-25\\ \hspace{0.17em}=-3\end{array}$

Step 3. DESCRIPTION OF STEP.

The expression $20-7+8^2-7\cdot 11$ can be simplified as follows:

$\begin{array}{l}20-7+8^2-7\cdot 11\\ =20-7+(8\times 8)-\left(7\times 11\right)\\ =20-7+64-77\\ =20+64-7-77\\ =84-84\\ =0\end{array}$

Hence, the simplified expression $20-7+8^2-7\cdot 11$ is 0.