Q. 403.7( 3 Votes )

Fill in the blanks with <, > or = sign.

(a) 32 ______15

(b) 23 ______ 32

(c) 74 ______54

(d) 10,000 ______ 105

(e) 63 _____44

Answer :

(a) We know that 32 = 3 × 3


= 9


So 9 < 15


Therefore the answer for the fill in the blanks = <


(b) We know that 32 = 3 × 3


= 9


We also know that 23 = 2 × 2 × 2


= 8


So 8 < 9


Therefore the answer for the fill in the blanks = <


(c) We know that 74 = 7 × 7 × 7 × 7


= 49 × 49


= 2401


We also know that 54 = 5 × 5 × 5 × 5


= 25 × 25


= 625


So 2401 > 625


Therefore the answer for the fill in the blanks = >


(d) The power of 10 represent the number of zeroes accompanying 10.


So 105 = 1, 00,000


10,000 < 105


Therefore the answer for the fill in the blanks = <


(e) We know that 63 = 6 × 6 × 6


= 6 × 36


= 216


We also know that 44 = 4 × 4 × 4 × 4


= 16 × 16


= 256


So 216 < 256


Therefore the answer for the fill in the blanks = <


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