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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 introduces the face value and the place value of a digit in a number.



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We learned about representation of the number `721` in three forms. Let us revise that quickly.

What number is represented in the picture?number 721

  • `721`
  • `721`
  • `21`

The answer is '`721`'

What number is represented in the picture?number 721 alternate form

  • `721`
  • `721`
  • `21`

The answer is '`721`'. Instead of laying out all the blocks, the representation gives the count of each of the blocks. The blocks are of sizes `1`, `10`, and `100`.

What number is represented in the picture?number 721 place value form

  • `721`
  • `721`
  • `21`

The answer is '`721`'. Instead of providing a pictorial representation of the blocks, the value is given in letters. The values are hundreds, tens, and units, equivalently representing blocks of size `100`, `10` and `1`.

What does the word 'value' mean?

  • reduce the importance
  • amount; measured amount; counted number
  • amount; measured amount; counted number

The answer is 'amount; measured amount; counted number'.

What does the word 'face' mean, in "face value"?

  • at ground level
  • value represented by the symbol, without any context or details
  • value represented by the symbol, without any context or details

The answer is 'value represented by the symbol, without any context or details'. That is, something is presented and taken as it is, without analyzing.

What does the word 'place' mean, in "place value"?

  • a specific position or location
  • a specific position or location
  • moving through air

The answer is 'a specific position or location'.

Face Value: For a digit in a number, the face value is the value of the digit. Eg: `2` has face value of `2` in `235`.

Place Value: For a digit in a number, the place value is the value taken by the digit as part of the number. Eg: `2` has place value of `200` in `235`.

Solved Exercise Problem:

What is the face value of `2` in the number `5234`?

  • `2`
  • `2`
  • `200`
  • `100`

The answer is "`2`".

Solved Exercise Problem:

What is the place value of `2` in the number `5234`?

  • `2`
  • `200`
  • `200`
  • `100`

The answer is "`200`"

What is the term used to refer the value of `2` is `2` in `26`?

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

The answer is 'face value'.

What is the term used to refer the value of `2` is `20` in `26`?

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

The answer is 'place value'.

Solved Exercise Problem:

what is the face value of `3` in `2341`?

  • `300`
  • `3`
  • `3`

The answer is '`3`'

Solved Exercise Problem:

what is the place value of `2` in `6234`?

  • `200`
  • `200`
  • `2`

The answer is '`200`'

Solved Exercise Problem:

what is the face value of `6` in `16425`?

  • `6000`
  • `6`
  • `6`

The answer is '`6`'

Solved Exercise Problem:

what is the face value of `7` in any given number?

  • cannot be found without a number
  • `7`
  • `7`

The answer is '`7`'

                            
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