compare the following numbers
Answers
Answer:
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Given - a. 4.2*10⁵, 2.5*10⁷
b. 8.5*10⁷, 30*10⁵
c. 6*5⁶, 5*6⁵
d. 2.2²*1.0², 3.1²*1.1³
To find - Comparison of given numbers
Solution - a. 4.2*10⁵, 2.5*10⁷
4.2*10⁵ will be written in expanded form as 4,20,000. Similarly, 2.5*10⁷ will be written in expanded form as 25,000,000.
As is evident, 4.2*10⁵ is four lakhs and twenty thousands while 2.5*10⁷ is two crores and fifty lakhs. So, 2.5*10⁷ > 4.2*10⁵.
b. 8.5*10⁷, 30*10⁵
8.5*10⁷ will be written in expanded form as 85,000,000. Similarly, 30*10⁵ will be written in expanded form as 3,000,000.
As is evident, 8.5*10⁷ is eight crores and fifty lakhs while 30*10⁵ is thirty lakhs. So, 8.5*10⁷ > 30*10⁵.
c. 6*5⁶, 5*6⁵
Value of 5⁶ is 15,625 and value of 6⁵ is 7,776. Now multiplying with respective integers. So, value of 6*5⁶ is 93,750 and value of 5*6⁵ is 38,880. As ninety three thousands, seven hundred and fifty is greater than thirty eight thousands, eight hundred and eighty, so 6*5⁶ > 5*6⁵.
d. 2.2²*1.0², 3.1²*1.1³
Value of 2.2²*1.0² is 4.84 and value of 3.1²*1.1³ is 12.8. So, 3.1²*1.1³ > 2.2²*1.0².