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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

### Large Numbers

This page quickly reviews the numbers from 10 to 1000 and introduces grouping of 10 units to 1 ten. The grouping is further explained to understand units, tens, hundreds, etc. This is an important concept to understand numerical arithmetics.

click on the content to continue..

•  grouping of 10 of units to 1 ten

•  introduces the basics to representing numbers in place-value.

How many blocks are there in the picture?

• 10
• 10
• 2

The answer is '10'

There are 10 blue color blocks in the picture. These blocks are packed into a purple block and marked 10. In this course, the purple block is used to represent 10.

Blue block represents 1 and the grouped purple block represent 10. Consider that the smaller blue block is a lower place-value and the larger purple block is higher place-value.

Combining a 10 of lower place value into 1 of higher place value is grouping.

Which of the following is a meaning for the word "grouping"?

• joining and combining together
• joining and combining together
• ground level

The answer is "joining and combining together".

What is the term used to refer "join and combine together"?

• Pronunciation : Say the answer once

Grouping: 10 of a lower place value is combined to 1 of higher place value.

What number is represented in the picture?

• 11
• 11
• 2

The answer is '11'
The purple block is used to represent ten and additional block represents 1. So, the total is 11.

What number is represented in the picture?

• 11
• 12
• 12

The answer is '12'

What number is represented in the picture?

• 13
• 13
• 12

The answer is '13'

What number is represented in the picture?

• 17
• 14
• 14

The answer is '14'

What number is represented in the picture?

• 15
• 15
• 19

The answer is '15'

What number is represented in the picture?

• 16
• 16
• 12

The answer is '16'

What number is represented in the picture?

• 11
• 17
• 17

The answer is '17'

What number is represented in the picture?

• 18
• 18
• 13

The answer is '18'

What number is represented in the picture?

• 11
• 19
• 19

The answer is '19'

Numbers above 10: The numbers above 10 are
11 (eleven),
12 (twelve),
13 (thirteen),
14 (fourteen),
15 (fifteen),
16 (sixteen),
17 (seventeen),
18 (eighteen),
19 (nineteen).

What number is represented in the picture?

• 20
• 20
• 12

The answer is '20'

What number is represented in the picture?

• 24
• 24
• 2

The answer is '24'

What number is represented in the picture?

• 15
• 32
• 32

The answer is '32'

What number is represented in the picture?

• 47
• 47
• 40

The answer is '47'

What number is represented in the picture?

• 54
• 54
• 52

The answer is '54'

What number is represented in the picture?

• 60
• 65
• 65

The answer is '65'

What number is represented in the picture?

• Pronunciation : Say the answer once

The answer is 'sixty five'. Instead of laying out all the blocks, the representation gives the count of each of the block. The blocks are of sizes 1, and 10.

What number is represented in the picture?

• 77
• 70
• 70

The answer is '70'

What number is represented in the picture?

• Pronunciation : Say the answer once

What number is represented in the picture?

• 89
• 84
• 84

The answer is '84'

What number is represented in the picture?

• Pronunciation : Say the answer once

What number is represented in the picture?

• 97
• 97
• 90

The answer is '97'

What number is represented in the picture?

• Pronunciation : Say the answer once

Numbers in the tens:
10(ten),
20(twenty),
30(thirty),
40(forty),
50(fifty),
60(sixty),
70(seventy),
80(eighty),
90(ninety)

What number is represented in the picture?

• 10
• 100
• 100

The answer is '100'

What number is represented in the picture?

• 10
• 100
• 100

The answer is '100'

What number is represented in the picture?

• 36
• 136
• 136

The answer is '136'

What number is represented in the picture?

• 721
• 721
• 21

The answer is '721'

What number is represented in the picture?

• Pronunciation : Say the answer once

The answer is 'Seven hundred twenty one'. Instead of laying out the entire blocks, the representation gives the count of each of the block. The blocks are of sizes 1, 10, and 100.

What number is represented in the picture?

• 721
• 721
• 21

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

Numbers are represented as sequence of digits. If 721 is given, the number of digits are counted as 3 and the number is read as seven hundred and twenty one.

What number is represented in the picture?

• 721
• 721
• 1000

The answer is '1000'.

What is 1000 called?

• thousand
• thousand
• lakh

What number is represented in the picture?

• 1635
• 5361
• 5361

The answer is '5361'

What number is represented in the picture?

• 28
• 28,573
• 28,573

The answer is '28,573'

Large Numbers : The digits in large numbers are

1 (units),
10 (tens),
100(hundreds),

1,000(thousands)
•  1000 thousands
•  10,000 ten thousands An example is given in the figure.

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