"Evaluate the expression" is one of the important basic stuff of algebra in math.

Before going to see examples of evaluating expressions first let us learn the rule called "BODMAS".

The rule or order that we use to simplify expressions in math is called "BODMAS" rule.

Very simply way to remember BODMAS rule!

B -----> Brackets first (Parentheses)

O -----> Of (orders :Powers and radicals)

D -----> Division

M -----> Multiplication

A -----> Addition

S -----> Subtraction

Important notes :

1. In a particular simplification, if you have both multiplication and division, do the operations one by one in the order from left to right.

2. Division does not always come before multiplication. We have to do one by one in the order from left to right.

3. In a particular simplification, if you have both addition and subtraction, do the operations one by one in the order from left to right.

Examples :

12 ÷ 3 x 5 = 4 x 5 = 20

13 - 5 + 9 = 8 + 9 = 17

**In the above simplification, we have both division and multiplication. From left to right, we have division first and multiplication next. So we do division first and multiplication next.**

**Example 1 :**

**Evaluate the expression ** 5 + 2 - 3

**Solution :**

In the above problem we have two signs addition and subtraction.

Step 1 :

First add the numbers which are in wither sides of positive sign.

= 5 + 2 - 3

Step 2 :

Now, we have to subtract 3 from 7.

= 7 - 3

= 4

Example 2 :

**Evaluate the expression **6(6 ÷ 2) x 9

**Solution :**

According to the rule BODMAS, first we have to consider the numbers which are in bracket or parenthesis.

= 6(6 ÷ 2) x 9

= 6 (3) x 9

Now, we have three numbers which are multiplying. So multiply those numbers

= 18 x 9 ==> 162

**Example 3 :**

**Evaluate **6(6) ÷ (2 x 9)

**Solution :**

According to the rule BODMAS, first we have to consider the numbers which are in bracket.

= 6(6) ÷ 18

= (6 x 6)/18

= 2

Now, we have three numbers which are multiplying. So multiply those numbers

= 18 x 9 ==> 162

**Example 4 :**

**Evaluate **100 ÷ (16 + 9) x 6

**Solution :**

According to the rule BODMAS, first we have to consider the numbers which are in bracket.

= 100 ÷ (16 + 9) x 6

= 100 ÷ 25 x 6

= 4 x 6 ==> 24

**Example 5 :**

**Evaluate the expression **(2 x 11 + 1) - (3 x 6 + 5)

**Solution :**

According to the rule BODMAS, first we have to consider the numbers which are in bracket.

= (2 x 11 + 1) - (3 x 6 + 5)

Inside the bracket, we have two signs multiplication and addition. First, we have to perform multiplication then we have to do addition.

= 23 - 23 ==> 0

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