Use a prefix to write the name for each of the following:b. 10⁶ m

Verified step by step guidance

1. Identify the prefix that corresponds to the power of 10 given in the problem.
2. Recall that the International System of Units (SI) uses specific prefixes for powers of 10.
3. The prefix for 10^6 is 'mega', which is abbreviated as 'M'.
4. Combine the prefix with the unit 'meter' to form the complete name.
5. The name for 10^6 meters is 'megameter'.

Key Concepts

Scientific Notation

Scientific notation is a method of expressing numbers that are too large or too small in a compact form. It is written as a product of a number between 1 and 10 and a power of ten. For example, 10⁶ represents 1,000,000, which is 10 raised to the sixth power.

Metric Prefixes

Metric prefixes are symbols that are added to the base unit of measurement to indicate a multiple or fraction of that unit. For instance, 'mega-' is a prefix that denotes a factor of 10⁶, meaning one million. Thus, 10⁶ meters can be expressed as 1 megameter (Mm).

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. This is essential in science to ensure that measurements are consistent and comparable. In this case, converting 10⁶ meters to megameters involves recognizing that 1 Mm equals 10⁶ m, simplifying the expression.