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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\04_Chapter_3\Chapter_3
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

1. Write 27859 in the expanded form.

2. Write any five numbers that can be estimated to 5,30,000.
3. Kohli contributed 76 runs with a total score of 176 made by India. What was total contributions
of the other players if 7 runs were extras?

4. Find the total number of balls bowled in 20 overs in an inning.
5. Do you see anything special in the number 151? If yes, write 3 more numbers similar to this
one.

6. The fall of the first 3 wickets in the Indian inning has been shown on the following number
line.

1st/2nd 3rd
0 23 34 50 100 150
Can you mark the fall of the next wickets at 106/4, 163/5, 174/6 and 176/7?
Journey of Numbers

Numbers have been more than mere tools for counting or record-keeping; they have been the
building blocks of science, the language of technology, and the medium for expressing complex
ideas. But, do you know how the journey of numbers and counting began?
When there were no numerals and people had to count, they used the fingers
of their hands or feet. But as you know, the total number of fingers one has
is 20, so they began to draw lines on rock, like the tally marks ( / // /// //// .....)
we use today. In the process, ancient people started using ‘quipu’ to make
knots on strings to count the number of domestic animals, such as sheep,
cows, dogs, etc., while taking them for grazing and untying the knots when
the animals returned from the pasture in the evening. But this was a
complicated technique for counting. Quipu

The sexagesimal system of Babylonian
could write bigger numbers but it was not Brahmi numerals
positional, which made it a little confusing.
The Roman number system was also
useful but was not very impressive. Later, Indian (Gwalior)
the world came to know about a more
advanced numeral system, now known
as — The Indo-Arabic Number System.
Al-Biruni advocated the use of a much Sanskrit-Devanagari (India)
sophisticated number system developed
in India which was well anticipated by West Arabic (gubar) East Arabic (still used in Turkey)
the Western world when they knew this
system through Fibonacci’s book ‘Liber
Abaci' in the 13th century AD. 15th century 16th century (Dürer)

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