Improving Your Scientific Notation Skills

How do you correctly express a measurement of 0.000 0043 m in scientific notation?

Understanding Scientific Notation

Scientific notation is a way to express very large or very small numbers in a more concise and convenient format. It is especially common in scientific and mathematical applications where dealing with extremely large or small values is necessary.

Converting Measurements to Scientific Notation

When converting a measurement, such as 0.000 0043 m, to scientific notation, the key is to move the decimal point so that only one non-zero digit is to the left of the decimal. In this case, the correct way to express 0.000 0043 m in scientific notation is as 4.3 x 10⁻⁶.

Proper Formatting

It is important to format the scientific notation properly by ensuring that the base number (or mantissa) is between 1 and 10. In this example, the base number is 4.3, meeting the requirement for proper scientific notation. The exponent of -6 indicates the decimal displacement.

The measurement 0.000 0043 m in scientific notation is 4.3 x 10⁻⁶.

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