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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.continue

In this page, it is explained that a variable is a symbol that represents a number.



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How many yellow flowers are shown in the figure?one flower with 8 petals

  • `1`
  • `1`
  • `2`

The answer is '`1`'

How many petals does the yellow flower have?one flower with 8 petals

  • `4`
  • `8`
  • `8`

The answer is '`8`'

How many yellow flowers are shown in the figure?four flower with 8 petals

  • `1`
  • `4`
  • `4`

The answer is '`4`'

How many petals do all the four yellow flowers have?four flower with 8 petals

  • `8xx4`
  • `8xx4`
  • `8`

The answer is '`8xx4`'

If a person has `2` yellow flowers of the kind shown in the figure, how many petals do those `2` flowers have?one flower with 8 petals

  • `8`
  • `8 xx 2 = 16`
  • `8 xx 2 = 16`

The answer is '`8xx2= 16`'

A person has `x` yellow flowers of the kind shown in the figure. The `x` can be any number.

The number of petals from `x` flowers is `8x`.

 •  if `x` is `2` then the number of petals is `8 xx 2 = 16`

 •  if `x` is `6` then the number of petals is `8xx6 = 48`

 •  etc. one flower with 8 petals In this, the number of flowers is considered as a symbol `x` and the number of petals is derived as an expression `8x`.

The letter `x` in the expression is called a variable.

How many cherry flowers are shown in the figure?one flower with 5 petals

  • `1`
  • `1`
  • `2`

The answer is '`1`'

How many petals does the cherry flower have?one flower with 5 petals

  • `4`
  • `5`
  • `5`

The answer is '`5`'

How many cherry flowers are shown in the figure?3 flower with 5 petals

  • `1`
  • `3`
  • `3`

The answer is '`3`'

How many petals do all the three cherry flowers have?3 flower with 5 petals

  • `5xx3`
  • `5xx3`
  • `5`

The answer is '`5xx3`'

If a person has `y` cherry flowers of the kind shown in the figure, how many petals do those `y` flowers have?one flower with 5 petals

  • `5`
  • `5y`
  • `5y`

The answer is '`5y`'.

If a person has `2` yellow blossom flowers and `3` cherry flowers of the kinds shown in the figure, how many petals do all the flowers have?two different flowers

  • `8+5 = 13`
  • `8xx2 + 5xx3`
  • `8xx2 + 5xx3`

The answer is '`8xx2 + 5xx3`'

If a person has `x` yellow blossom flowers and `y` cherry flowers of the kinds shown in the figure, how many petals do all the flowers have?two different flowers

  • `8+5 = 13`
  • `8xx x + 5xx y`
  • `8xx x + 5xx y`

The answer is '`8xx x + 5xx y`'. `x` and `y` are two variables.

In the examples, it is clearly given that

 •  an unknown number can be represented using a symbol. eg: `x` flowers.

 •  a symbol, which is used in place of a number, can take a value based on the problem. eg: the number of flowers is taken as `x` and in a particular basket the number of flowers is `3`; then `x=3` for that basket.

The symbol is called a variable.

Which of the following is a meaning for the word 'variable'?

  • that varies or changes in value
  • that varies or changes in value
  • that easily gets angry

The answer is 'that varies or changes in value'.

What is the term used to refer to quantities represented with a letter?

  • Pronunciation : Say the answer once
    Spelling: Write the answer once

The answer is 'variable'.

a variable is a quantity that can assume different numerical values.

Variable: is a representation of a numerical quantity with a letter or a symbol.
example: number of dogs `x` and number of cats `y`.

Solved Exercise Problem:

How many legs will a group of dogs have?dog Note: The number of dogs in the group is not given, so take the number of dogs as a variable.

  • `4`
  • if the group has `x` dogs, the number of legs ` = 4x`
  • if the group has `x` dogs, the number of legs ` = 4x`

The answer is 'if the group has `x` dogs, the number of legs ` = 4x`'

                            
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