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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.

Read in the blogs more about the unique learning experience at nubtrek.
mathsWhole NumbersNumerical Expressions with Whole Numbers

### Numerical Expressions

In this page, numerical expressions are introduced as statement of a number using multiple numbers and arithmetic operations between the multiple numbers.

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Subtraction represents "taking away" part of a quantity.

Multiplication represents "repeated addition" of a quantity.

Division represents "splitting" a quantity into equal parts.

3+2 = 5

Addition is one of the arithmetic operations.

5-2=3

Subtraction is one of the arithmetic operations.

Subtraction 5-2=3 is the inverse of addition 3+2=5.

The word "inverse" means: that is opposite or reverse of something

familiarize with the terminology
inverse

3xx2=6

Multiplication is one of the arithmetic operations.

Multiplication 3xx2 is repeated addition 3+3, that is 3 repeated 2 times.

6-:2=3.

Division is one of the arithmetic operations.

Division 6-:2=3 is inverse of multiplication 3xx2 = 6

Consider 2+4+3. This can be evaluated to 9.

This is an example of a numerical expression.

The word "expression" means: collection of numbers and arithmetic operations between them, which together represent a quantity.

familiarize with the terminology
expression

Numerical Expression : A numerical expression is a statement of a value using numbers and arithmetic operations between them.

eg: 3+4xx2-6-:3 is a numerical expression involving addition, multiplication, subtraction, and division.

The expression in the given example evaluates to 3+4xx2-6-:3 = 9

2xx4xx3 is an example of a numerical expression. It is evaluated to 24.

a+3x is not a numerical expression. It is not entirely numbers and arithmetic operations. It has letters a and x.

Solved Exercise Problem:

Is 3-2 a numerical expression

• Yes, the subtraction of two numbers
• Yes, the subtraction of two numbers
• No, simple subtraction is not a numerical expression

The answer is "Yes, the subtraction of two numbers"

Solved Exercise Problem:

Is 3+4-2+1 a numerical expression?

• No, it has both addition and subtraction
• Yes, addition and subtraction can be part of a numerical expression
• Yes, addition and subtraction can be part of a numerical expression

The answer is "Yes, addition and subtraction can be part of an expression".

Solved Exercise Problem:

Is 3+4xx2-6-:3 a numerical expression?

• No, as it has the addition, subtraction, multiplication, division
• Yes, all arithmetic operations can be part of a numerical expression
• Yes, all arithmetic operations can be part of a numerical expression

The answer is "Yes, all arithmetic operations can be part of a numerical expression"

Solved Exercise Problem:

is 3 a numerical expression?

• No. 3 is only a number. Not a numerical expression
• Yes. technically a number can also be considered a numerical expression
• Yes. technically a number can also be considered a numerical expression

The answer is "Yes. technically a number can also be considered a numerical expression".

Consider 1+2 and 3xx1. Note that when evaluated, both result in identical numerical value 1+2=3 and 3xx1 = 3`.

They are two different expressions, evaluating to equal values.

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