High School

We appreciate your visit to Consider a dust mite that measures tex 10 3 tex millimeters in length and a garter snake that measures 100 centimeters long How many orders. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Consider a dust mite that measures [tex]10^{-3}[/tex] millimeters in length and a garter snake that measures 100 centimeters long. How many orders of magnitude longer is the garter snake compared to the dust mite?

Answer :

Final answer:

The garter snake, measuring 1 meter, is 6 orders of magnitude longer than the dust mite, which measures 10⁻⁶ meters.

Explanation:

To calculate how many orders of magnitude longer the garter snake is than the dust mite, we need to compare their lengths on a logarithmic scale. An order of magnitude represents a ten-fold increase or decrease in size. The dust mite measures 10⁻³ millimeters in length, which converts to 10⁻⁶ meters (1 millimeter = 10⁻³ meters). The garter snake measures 100 centimeters, which is equivalent to 1 meter (100 centimeters = 1 meter).

To find the order of magnitude difference, we can use the exponents from the scientific notation. For the garter snake, we have 1 meter, which is 10⁰ meters in scientific notation (since 10 to the power of 0 is 1). For the dust mite, we have 10⁻⁶ meters. The difference in exponent between the two measurements is then:

0 (from 10⁰) - (-6) (from 10⁻⁶) = 6

Hence, the garter snake is 6 orders of magnitude longer than the dust mite.

Thanks for taking the time to read Consider a dust mite that measures tex 10 3 tex millimeters in length and a garter snake that measures 100 centimeters long How many orders. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada