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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.

How do children count when they first start learning counting?

  • Using their fingers
  • using their digits
  • another name for a finger is a digit. So, both the above
  • another name for a finger is a digit. So, both the above

The answer is "both the above".

What are `0, 1, 2, 3, 4, 5, 6, 7, 8, 9` called?

  • digits
  • digits
  • fingers

The answer is "digits".

Which of the following describe "length of a pencil"?

  • `15` centimeter
  • `15` centimeter
  • chair
  • run
  • beautiful

The answer is "`15` centimeter". Numbers are used to represent measures or count.

The length of a pencil is given as `15` centimeters. Which of the following is true?

  • length given in Hindu-Arabic Numeral is `15`
  • length given in Roman Numeral is `XV`
  • many such numerals are used in other languages
  • all the above
  • all the above

The answer is "all the above". Numbers are represented using numerals. Hindu-Arabic Numerals use digits `0` to `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.

How many dogs are there in the picture?number 0

  • `0`
  • `0`
  • `9`

The answer is '`0`'

How many apples are there in the picture?number 1

  • `1`
  • `1`
  • `5`

The answer is '`1`'

How many blocks are there in the picture?number 1

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

The answer is 'one'.

How many roses are there in the picture?number 2

  • `2`
  • `2`
  • `7`

The answer is '`2`'

How many blocks are there in the picture?number 2

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

The answer is 'two'.

How many donuts are there in the picture?number 3

  • `1`
  • `3`
  • `3`

The answer is '`3`'

How many blocks are there in the picture?number 3

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

The answer is 'three'.

How many cups are there in the picture?number 4

  • `3`
  • `4`
  • `4`

The answer is '`4`'

How many blocks are there in the picture?number 4

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

The answer is 'four'.

How many flowers are there in the picture?number 5

  • `1`
  • `5`
  • `5`

The answer is '`5`'

How many blocks are there in the picture?number 5

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

The answer is 'five'.

How many chocolate are there in the picture?number 6

  • `6`
  • `6`
  • `5`

The answer is '`6`'

How many blocks are there in the picture?number 6

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

The answer is 'six'.

How many burgers are there in the picture?number 7

  • `7`
  • `7`
  • `5`

The answer is '`7`'

How many blocks are there in the picture?number 7

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

The answer is 'seven'.

How many dogs are there in the picture?number 8

  • `3`
  • `8`
  • `8`

The answer is '`8`'

How many blocks are there in the picture?number 8

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

The answer is 'eight'.

How many rabbits are there in the picture?number 9

  • `6`
  • `9`
  • `9`

The answer is '`9`'

How many blocks are there in the picture?number 9

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

The answer is 'nine'.

How many strawberries are there in the picture?number 10

  • `10`
  • `10`
  • `7`

The answer is '`10`'

How many blue blocks are combined into a single purple block in the picture?number 10

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

The answer is 'ten'.

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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