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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

This page quickly reviews the numbers 0 to 9 and introduces

 •  digits, numerals, numbers

 •  numbers given in abstraction

The lesson is critical to properly understand the place-value system and whole number arithmetics.



click on the content to continue..

The three lessons
   numbers 1 to 10,
   numbers 10 to 1000,
   Expanded form of numbers
revise what students have learned in primary school or till 5th standard.

The objective of these lessons is to establish a pattern that helps to understand the foundation of numerical arithmetics. Like,
   how carry over works in addition (regrouping)
   how borrow works in subtraction (ungrouping)
   how large numbers are added, subtracted, multiplied, or divided (procedural simplification in place-value system)


These lessons take hardly `20` mins. Students are advised to go through them noting how numbers are represented with units blocks, tens blocks, hundreds blocks, etc. . This helps in understanding explanation of various concepts in numerical arithmetics.

Children use fingers to count when they first start learning counting.

Another word for fingers is digits.

The numbers 0 to 9, which are used to count, are also called digits.

Numbers are used to represent counts or measures.

Number of pens is `5`

Length of a pencil is `3`cm

Numbers are represented using numerals. Hindu Arabic numerals use digits

`0, 1, 2, 3, 4, 5, 6, 7, 8, 9`

Digits : `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, `9` are called digits.

Number : A number is a count or a measurement of a quantity.

Numeral : A numeral is a number represented with digits.

Let us quickly revise the numbers. The next `20` pages bring out the foundation of numbers and its place value system. Since it is very easy, just spend time going through once.

This part is designed such that the foundation of arithmetics is understood in the right way.

For example, in this page, the representation of numbers as count and measure is explained and a representation that reflects the place-value system of numbers is developed which helps in understanding arithmetics.

number 0 The number of dogs in the picture is `0`.

number 1 The number of apples in the picture is `1`.

number 1 The number of blocks in the picture is `1`.

number 2 The number of roses in the picture is `2`.

number 2 The number of blocks in the picture is `2`.

number 3 The number of donuts in the picture is `3`.

number 3 The number of blocks in the picture is `3`.

number 4 The number of cups in the picture is `4`.

number 4 The number of blocks in the picture is `4`.

number 5 The number of flowers in the picture is `5`.

number 5 The number of blocks in the picture is `5`.

number 6 The number of chocolates in the picture is `6`.

number 6 The number of blocks in the picture is `6`.

number 7 The number of burgers in the picture is `7`.

number 7 The number of blocks in the picture is `7`.

number 8 The number of dogs in the picture is `8`.

number 8 The number of blocks in the picture is `8`.

number 9 The number of rabbits in the picture is `9`.

number 9 The number of blocks in the picture is `9`.

number 10 The number of strawberries in the picture is `10`.

number 10 The number of blue blocks in the picture is `10`.

These blue blocks are combined into a single purple block.

Numbers: The numbers we use to count or measure quantities are

`0` (zero),
`1` (one),
`2` (two),
`3` (three),
`4` (four),
`5` (five),
`6` (six),
`7` (seven),
`8` (eight),
`9`(nine)

Solved Exercise Problem:

How many flowers are there in the picture?numbers multiple illustration

  • `3`
  • `3`
  • `2`

The answer is '`3`'

Solved Exercise Problem:

How many cacti are there in the picture?numbers multiple illustration

  • `3`
  • `2`
  • `2`

The answer is '`2`'

Solved Exercise Problem:

How many monkeys are there in the picture?numbers multiple illustration

  • `5`
  • `5`
  • `2`

The answer is '`5`'

Solved Exercise Problem:

How many tomatoes are there in the picture?numbers multiple illustration

  • `3`
  • `6`
  • `6`

The answer is '`6`'

Solved Exercise Problem:

How many rabbits are there in the picture?numbers multiple illustration

  • `9`
  • `9`
  • `2`

The answer is '`9`'

                            
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