Q69. - Algebra 2

Question

Simplify. (Lessons 1-1 and 1-2)

69. $\mathbf{3}+\left(\mathbf{21}÷\mathbf{7}\right)\times \mathbf{8}÷\mathbf{4}$

Step-by-Step Solution

Answer

The required simplified value is 9.

Step 1 – State the concept

Simplifying an arithmetic expression is nothing but reducing it to a single value by evaluating the expression. The evaluation has to be done by following the BODMAS rule.

Step 2 – List the given data

The given expression to be simplified is $3+\left(21÷7\right)\times 8÷4$

Step 3 – Simplify

$3+\left(21÷7\right)\times 8÷4$  (Given expression)

 

$3+\left(\frac{21}{7}\right)\times 8÷4$  (Evaluating the expression in the brackets)

 

$3+3\times 8÷4$  (Simplify)

 

$3+3\times \frac{8}{4}$  (Performing the division)

 

$3+3\times 2$ (Simplify)

 

$3+6$  (Performing the multiplication)

 

$9$   (Performing the addition)

 

So, 9 is the required simplified value.