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Thought-Process to Discover Knowledge

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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.

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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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