Page 65 - Ganit Kaushal

3 Number Play

3.1 INTRODUCTION Learning Outcomes

Numbers play an important role in our daily lives. From By the end of this chapter, students will be able to:
the moment we wake up and glance at the clock to • Read and write large numbers in the Indian and
counting our steps, reading the temperature, calculating International systems of numeration.
scores in a game, or knowing the records of our favourite • Add, subtract, multiply, divide, compare, and place
cricketers, numbers are all around us. Have you ever small as well as large numbers along the real line.
considered the magnitude of large numbers? How do we • Understand the importance of numbers in the
handle really large numbers like the population of a real world.
• Play games involving numbers, like a game of
supercells, a game of heights, a game of number
21 or 99, etc.
• Plan winning strategies for games involving
numbers.
• Recognise and understand some special numbers
like palindromic and Kaprekar numbers.
• Understand the meaning of conjectures in
mathematics, such as the Collatz conjecture.
• Make logical estimations of important events
coming their way in real life situations.

country or the distance between planets in space?
How do we compare them? In this chapter, we’ll
explore the fascinating world of numbers and learn
how to work with both small and gigantic numbers
with ease.

3.2 INDIAN SYSTEM OF NUMERATION

In the Indian system of numeration, we separate the digits of a number using groups, which are called periods.
Ones, Thousands, Lakhs, Crores, etc. are examples of periods. Further, each period is separated into places. The
following place value chart, known as the Indian Place Value Chart, shows the separation of some numbers
into periods and places.

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