Q:

I have 2 questions, What is the smallest power of ten that exceeds 89,876,230,128,970?Question 1 options:A. 10^11B. 10^14C. 10^15D. 10^12 What is the smallest power of 10 that exceeds? 981 44/61Question 2 options:A. 10^3B. 10^4C. cannot be foundD. 10^-2

Accepted Solution

A:
Question 1:For this case we have the following amount:[tex]89,876,230,128,970[/tex]On the other hand, the exponents of the given options are positive, so we must run the decimal as many spaces to the right as the exponent indicates.[tex]10^{11}= 100,000,000,000\\10^{14} = 100,000,000,000,000\\10^{15} = 1,000,000,000,000,000\\10^{12} = 1,000,000,000,000[/tex]Thus, it is observed that the power that exceeds the given quantity is:[tex]10^{14}[/tex]ANswer:[tex]10^{14}[/tex]Question 2:We have the following expression:[tex]981 \frac {44} {61} = \frac {61 * 981 + 44} {61} = 981.72[/tex]We have to [tex]10 ^ 3 = 1000[/tex]So, the correct option is [tex]10 ^ 3[/tex]Answer:[tex]10 ^ 3[/tex]