Q79 of 111 Page 337

Identify the greater number, in each of the following:

(a) 26 or 62


(b) 29 or 92


(c) 7.9 × 104 or 5.28 × 105

(a) Let us find the values of each term,

26 = 2 × 2 × 2 × 2 × 2 × 2


= 4 × 4 × 4


= 64


62 = 36


So 26 is greater.


(b) 29 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2


= 8 × 8 × 8


= 512


92 = 81


So 29 is greater.


(c) 7.9 × 104 = 79, 000


5.28 × 105 = 5, 28, 000


So it is clearly seen that 5.28 × 105 is greater


More from this chapter

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77

How many times of 30 must be added together to get a sum equal to 307?

 78

Express each of the following numbers using exponential notations:

(a) 1024


(b) 1029


(c)

80

Express each of the following as a product of powers of their prime factors:

(a) 9000


(b) 2025


(c) 800

 81

Express each of the following in single exponential form:

(a) 23 × 33


(b) 24 × 42


(c) 52 × 72


(d) (– 5)5 × (–5)


(e) (– 3)3 × (– 10)3


(f) (– 11)2 × (– 2)2