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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.
mathsWhole NumbersIntroduction to Whole Numbers

### Face and Place Values

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

click on the content to continue..

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

The number 721 is represented using blocks.

The number is represented using the count of each of the blocks. 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.

The number is represented without blocks. 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.

The word "value" means: amount; measured amount; counted number.

The word "face", in face-value means: value represented by the symbol, without any context or details. That is, something is presented and taken as it is, without analyzing.

The word "place" in place-value means: 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"

familiarize with the terminology
face value

familiarize with the terminology
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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