Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Exponents
1:58 minutes
Problem 104b
Textbook Question
Textbook QuestionIn Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 282,000,000,000/0.00141
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Scientific Notation
Scientific notation is a way of expressing numbers that are too large or too small in a compact form. It is written as the product of a number (the coefficient) between 1 and 10 and a power of ten. For example, 282,000,000,000 can be expressed as 2.82 x 10^11. This notation simplifies calculations and comparisons of very large or small values.
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Division of Decimals
Dividing decimals involves shifting the decimal point to convert the divisor into a whole number, which simplifies the division process. In the given problem, dividing 282,000,000,000 by 0.00141 requires adjusting the decimal point in 0.00141 to make it a whole number, which also necessitates shifting the decimal in the dividend accordingly. This ensures that the division is performed correctly.
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Example 1
Rounding Numbers
Rounding numbers is the process of adjusting a number to a specified degree of accuracy, often to make it simpler to work with. In this case, the problem specifies rounding the decimal factor in scientific notation to two decimal places. This means that after performing the division, the result should be rounded to the nearest hundredth, which helps in presenting the answer in a clear and concise manner.
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