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subject: Order Of Expressions In Math : 2 [print this page]

Introduction to order of expressions in math:

The evaluating order of expressions in mathematics, it is a straightforward expression that requires following an order of expression to findthe accurate solution. We follow the given expression of process, are

The parenthesis, Exponents, Multiplication, Division, Addition and Subtraction:

This order of expressions in math is called PEMDAS. In this article discuses about solving for order of expressions in math.

Pemdas Rule on Order of Expressions in Math

The following steps used to simplify the given order of expressions in math:

1) Perform the operations inside a parenthesis first

2) Then exponents

3) Then multiplication and division, from left to right

4) Then addition and subtraction, from left to right

5) You can also create a little phrase to memorize the sequence.

Examples on Order of Expressions in Math

Following are the examples using order of operations in math:

Example 1:

Evaluate the following:

10 + 8 x 5

Solution:

10 + 8 x 5 = 10 + 40 (first perform the multiplication process from left to right -> 8 x 5 = 40

= 40 (second perform the addition operation -> 10 + 40 = 50)

Example 2:

Evaluate the following:

19 - 19 x 0.1

Solution:

19 - 19 x 0.1 = 19 - 1.9 (first perform the multiplication operation -> 19 x 0.1 = 1.9)

= 17.1 (second perform the subtraction operation -> 19 - 1.9)

Example 3:

Evaluate the following:

30 - (13 x 13)

Solution:

20 - (3 x 3) = 20 - (9) (first perform within the bracket of multiplication operation -> 3 x3 =9)

= 20 - 9 =11 (second perform the subtraction operation -> 20 -9 = 11)

Example 4:

Evaluate the following:

10 (5 x 5)

Solution:

10 - (5 x 5) = 10 - (25) (first perform within the bracket of multiplication operation -> 5 x5 =25)

= 10 - 25 =-15 (second perform the subtraction operation -> 10 -25 = -15)

Example 5:

Find the following results:

6(7 x 3 + 4)

Solution:

6(7 x 3 + 4) = 6(21 + 4) (1st perform the within the bracket of expression such as multiplying and then addition

operations from left to right)

= 6(25) (second perform the outside the bracket expression such as, 6 x 25 or 6. 25 = 150)

= 150.

simplify algebraic fractions

Example 6:

Find the following results:

5(8 x 3 + 6)

Solution:

5(7 x 3 + 6) = 6(21 + 6) (first perform the within the bracket of expression such as multiplication and then addition

operations from left to right)

= 5(27) (second perform the outside the bracket expression such as, 5 x 27 or 5. 27 = 150)

= 135.

by: Smith

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