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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. 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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