# Scientific Notation Problem Solving

A number is in this format if we can write it as: a × 10 You can also claim as we saw before that there is a decimal point after 0 and write 500.0 Then, move the decimal point 2 places to the left between 5 and 0 to get 5.000, which is the same as 5.Since you moved it two places to the left, you know that your exponent is 2.

0.0167 = 1.67 x 10You may also need to convert numbers that are already represented in scientific notation or in their power of ten, to regular numbers. If the power is positive, shift decimal to the right If the power is negative, shift decimal point to the left The answer is in the negative because the decimal moved left. B The scientific notation is in the negative so we shift the decimal 2 places to the left. Your base is always 10 Thus, 500 = 5 × 10 More examples of scientific notation: 1) 75000 75000 = 75000.0 Move the decimal point 4 places to the left between 7 and 5.We get 7.5000, which is the same as 7.5 Since we moved it 4 places to the left, your exponent is 4 and your base is still 10.Scientific notation is a convenient way to deal with very large or very small numbers.It provides an easier way to write numbers and make multiplication and division of very large or very small numbers a lot easier.The calculator will generate a detailed step-by-step explanation for each operation.To convert a number to scientific notation, place a decimal after the first number that is not a zero, or, after the first number that between 1 and 9.It uses the format shown below: Finding the value of the exponent is the main challenge when using scientific notation as this tells us the number that we multiply the co-efficient by.One method to help with this is to think of multiplying by powers of 10 as moving the decimal point - one place for each power of ten.In either case, the answer must be converted to scientific notation.Introduction to Scientiic Notation: Learn the basic principles of scientific notation. Scientific Notation Generator: Javascript program will enable you to practice converting any number from basic notation to scientific notation.

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