Question

Comparing the numbers ${10}^{-49}$ and 2. ${10}^{-50}$ we may say

• A. the first exceeds the second by 8. ${10}^{-1}$
• B. the first exceeds the second by 2. ${10}^{-1}$
• C. the first exceeds the second by 8. ${10}^{-50}$
• D. the second is five times the first
• E. the first exceeds the second by 5

Answer 1

The correct option is C the first exceeds the second by 8. ${10}^{-50}$

${10}^{-49}-2\cdot {10}^{-50}={10}^{-50}(10-2)=8\cdot {10}^{-50}\therefore {10}^{-49}exceeds2\cdot {10}^{-50}by8\cdot {10}^{-50}$