Solving Scientific Notation Problems

Plus, get practice tests, quizzes, and personalized coaching to help you succeed.Try it risk-free How were arithmetic problems solved before the advent of pocket calculators? First, it cannot multiply any numbers outside of a range between 1 and 9.99. By using the slide rule, however, individuals could learn a valuable lesson about how to work with numbers of different magnitudes.

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Since part of a number that is written in scientific notation is 10 raised to a power, when we multiply or divide these types of numbers we need to remember some of our exponent rules.

If you need to review your exponent rules, feel free to go to Tutorial 2: Integer Exponents.

We would thus have 1.67 To complete the conversion of 29010 to scientific notation, we would get 2.91 x 10⁴ The 10 is raised to the power of 4, because there are 4 places counting from right to left.

This scientific notation is positive because the decimal moved to the left. A The scientific notation is in the positive so we shift the decimal 6 places to the right.

In those days, there were only three methods for solving a multiplication problem that a person couldn't do in his or her head: pencil and paper, getting time on a mainframe computer, or using a slide rule. So in order to multiply 187 by 26 the numbers would be rewritten so that they were something between 1 and 9.99: However, this still left more work to be done to get to the final answer. This led to an appreciation for something called scientific notation.

Scientific notation is defined as a standardized way to represent any number as the product of a real number and a power of 10.

Like it or not, the best way to master these problems is to work through them. If the power on 10 is positive, you move the decimal place that many units to the right.

If the power on 10 is negative, you move the decimal place that many units to the left.

Make sure you add in any zeros that are needed Math works just like anything else, if you want to get good at it, then you need to practice it.

Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument.

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