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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
mathsWhole NumbersIntroduction to Whole Numbers

Expanded form of Numbers

This page introduces concept of 2-digit numbers, 3-digit numbers, etc. The expanded forms in hundreds, tens, units and number in words are explained with examples. For large numbers with 5 digits or more, the Indian and International systems of numbers are explained.



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The number `65` has `2` digits.

The number `24` is made of two digits `2` and `4`. This is another example of a `2` digit number.

The number `423`, has `3` digits.

The digits in the number `264` are `2`, `6`, and `4`. This is another example of a `3` digit number. This represents

`2` hundreds

`6` tens

`4` units.

The expanded form of the given number `2735`.number 2735 `2735`

`quad =2000 + 700 + 30 + 5`

`quad =2` thousands `+ 7` hundreds ` + 3` tens `+ 5` units

to expland means: to make something large by giving more details. Expanded form of a number provides the place value of each digits of the number.

Solved Exercise Problem:

What is the number `652734` in expanded form?

  • `6+5+2+7+3+4`
  • `600000+50000``+2000``+700``+30+4`
  • `600000+50000``+2000``+700``+30+4`

The answer is "`600000+50000``+2000``+700``+30+4`".

Expanded form: provides the place value of each digits of the number.
Eg: `1234 = 1000+200+30+4`

Solved Exercise Problem:

What is the expanded form of `872`?

  • Cannot write the expanded form as thousand is not given
  • `8` hundred, `+7` ten, `+2`
  • `8` hundred, `+7` ten, `+2`

The answer is '`8` hundred, `+7` ten, `+2`'

Solved Exercise Problem:

What is the expanded form of `46427`?

  • `40000 + 6000+400+20+7`
  • `4` ten thousand `+6` thousand `+4` hundred `+2` ten `+7`
  • both the above
  • both the above

The answer is 'Both the above'

Large Numbers - Indian System :

`1` - unit

`10` - ten

`100` - hundred

`1,000` - thousand

`10,000` - ten thousand

`1,00,000` - lakh

`10,00,000` - ten lakh

`1,00,00,000` - crore

Large Numbers - International System :

`1` - unit

`10` - ten

`100` - hundred

`1,000` - thousand

`10,000` - ten thousand

`100,000` - hundred thousand

`1,000,000` - million

`10,000,000` - ten million

`100,000,000` - hundred million

`1,000,000,000` - billion

                            
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