EVALUATE THE NUMERICAL EXPRESSIONS

When two or more operations carried out, different answers can result depending on the order in which the operations are performed.

For example, consider the expression 16 - 10 ÷ 2

Which answer is correct 3 or 11 ?

To avoid this confusion, we use the concept order of operations.

Note :

If an expression contains more than one set of brackets, evaluate the innermost brackets first.

The division line of fractions behaves like a set of brackets. This means that the numerator and denominator must each be found before doing the division

Evaluate the following numerical expression.

Example 1 :

6 x 8 - 18 ÷ (2 + 4)

Solution :

So, the answer is 45.

Example 2 :

10÷5+20÷(4+1)

Solution :

Example 3 :

5 + (2x10-5) - 6

Solution :

Example 4 :

18 - (15÷3+4) + 1

Solution :

Example 5 :

(2x3-4) + (33÷11+5)

Solution :

Since we have two set of terms inside the bracket, we will simplify that first.

= (2x3-4) + (33÷11+5)

= (6-4) + (3+5)

= 2 + 8

= 10

Example 6 :

(18÷3+3) ÷ (4x4-7)

Solution :

Example 7 :

(50÷5+6) - (8x2-4)

Solution :

= (50÷5+6) - (8x2-4)

= (10+6) - (16-4)

= 16 - 12

= 4

Example 8 :

(10x3-20) + 3(9÷3+2)

Solution :

= (10x3-20) + 3(9÷3+2)

= (30-20) + 3(3+2)

= 10+3(5)

= 10+15

= 25

Example 9 :

(7-3x2) ÷ (8÷4-1)

Solution :

= (7-3x2) ÷ (8÷4-1)

= (7-6) ÷ (2-1)

= 1 ÷ 1

= 1

Example 10 :

(5+3)x2+10 ÷ (8-3)

Solution :

= (5+3)x2+10 ÷ (8-3)

= 8x2+10÷5

= 16+10÷5

= 16+2

= 18