Use the prefix multipliers to express each measurement without exponents. d. 3.5×10⁶ L

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Identify the prefix multiplier that corresponds to the exponent in the measurement. In this case, the exponent is 6, which corresponds to the prefix 'mega' (M), meaning 10^6.

Rewrite the measurement using the identified prefix. Replace 10^6 with the prefix 'M'.

Express the measurement as 3.5 ML, where 'M' stands for 'mega'.

Ensure that the unit 'L' (liters) is correctly associated with the prefix 'M'.

Verify that the conversion is correct by checking that 3.5 ML is equivalent to 3.5 * 10^6 L.

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주요 개념

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Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically formatted as a product of a number between 1 and 10 and a power of ten. For example, 3.5 * 10^6 means 3.5 multiplied by 1,000,000, which equals 3,500,000.

Metric Prefixes

Metric prefixes are used to denote specific powers of ten in the metric system, allowing for easier communication of measurements. Common prefixes include 'kilo-' (10^3), 'mega-' (10^6), and 'giga-' (10^9). In the case of 3.5 * 10^6 L, the appropriate prefix is 'mega-', so it can be expressed as 3.5 ML.

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. In this context, converting from liters to megaliters requires understanding the relationship between the units, specifically that 1 ML equals 1,000 L. This conversion is essential for expressing large quantities in a more manageable form.

Use the prefix multipliers to express each measurement without exponents. d. 3.5×106 L