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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

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### Precedence of Arithmetic Operations

In this page, the precedence order of arithmetic operations in a numerical expression is explained. That is, multiplication and division has higher precedence to addition and subtraction.

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Simplify 2+4xx3.

•  It is wrong to do 2+4xx3 =6 xx 3 = 18
Addition 2+4 is not to be performed first.

•  2+4xx3 =2 + 12 =14
Multiplication 4xx3 is performed first and then addition is performed.

Multiplication is higher in precedence to addition. In 2+4xx3, the multiplication is to be simplified ahead of addition.

The word "precedence" means: priority over another; order to be observed.

In a numerical expression, the precedence order is:
•  division and multiplication (both in the same level same level of precedence)
•  addition and subtraction (both in the same level of precedence)

This is abbreviated as BODMAS (Division, Multiplication, Addition, Subtraction) or PEMDAS (Multiplication, Division, Addition, Subtraction).

The letters B O or P E are explained later

Solved Exercise Problem:

Simplify 1+ 6xx3.

• 21
• 19
• 19

The answer is "19". Multiplication is higher in precedence over addition. so

1+6xx3

=1+18

=19.

Solved Exercise Problem:

Simplify 9-6-:3

• 7
• 7
• 1

The answer is "7". Division is higher in precedence over subtraction. So

9-6-:3

=9-2

=7

Solved Exercise Problem:

Simplify 3+ 6-:3.

• 3
• 5
• 5

The answer is "19". Division is higher in precedence over addition. so

3+6-:3

=3+2

=5.

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