NCERT Solutions for Ganita Prakash (Part 1) Chapter 2 Power Play

About this chapter

n a means n multiplied by itself a times. Here n is the base and a is the exponent (or power). 5 4 = 5 × 5 × 5 × 5 = 625. The five working rules: n a × n b = n a+b , (n a ) b = n ab , n a ÷ n b = n a–b , m a × n a = (mn) a and m a ÷ n a = (m ÷ n) a . n 0 = 1 and n –a = 1/n a (for n ≠ 0) are not extra rules — they are the only definitions that let n a ÷ n b = n a–b keep working when a = b or a < b. Exponential growth multiplies by a fixed factor at each step; linear growth adds a fixed amount. 46 folds reach the Moon, while 192.2 crore ladder steps are needed to do the same job. Scientific notation writes a number as x × 10 y with 1 ≤ x < 10 and y an integer. The exponent y tells you how big the number is; the digits of x say how precisely you know it. Powers of 10 give names to huge

• .1 Experiencing the Power Play …
• .2 Exponential Notation and Operations
• –232.2 Exponential Notation and Operations
• .2 Exponential Notation and Operations · Magical Pond
• .3 The Other Side of Powers
• .3 The Other Side of Powers · Power Lines
• .4 Powers of 10
• .4 Powers of 10 · Scientific Notation
• –342.5 Did You Ever Wonder?
• .5 Did You Ever Wonder? · A different way to say your age!