What is the order of magnitude in the number 6 \times 10^{ - 7 }?
For each of the following numbers:
Write the number in scientific form.
Identify the order of magnitude.
8000
964\,400
0.0008
One university has 6000 students enrolled, while another university has 7000 students enrolled. What is the order of magnitude of the total number of students enrolled at both universities?
A bakery sells 450 cupcakes per week. What is the order of magnitude of the total number of cupcakes sold over 8 weeks?
The average distance of Mercury to the Sun is 5.791 \times 10^{7} \text{ km} while the average distance of Uranus to the Sun is 2.871 \times 10^{9} \text{ km}. By how many orders of magnitude do the distances between these planets and the Sun differ in size?
A human strand of DNA is about 2.5 \times 10^{ - 9 } \text{ m} while the diameter of a hydrogen nucleus is about 1.8 \times 10^{ - 15 } \text{ m}. By how many orders of magnitude do the size of these objects differ?
For each of the following numbers:
Express the number as a power of 10.
Find the base ten logarithm of the number.
1\,000\,000
0.000001
1
Evaluate the following. Round your answers to four decimal places.
\log_{10} 80\,000
\log_{10} 7692
\log_{10} 0.00579
Use your calculator to find the number such that the base ten logarithm of the number is 2.5. Round your answer to two decimal places.
Use your calculator to find the number such that the base ten logarithm of the number is - 1.2. Round your answer to three decimal places.
Find the number if the logarithm of the number is 0.