Question

6 multiple choice 1 point
what is the most logical explanation for why \kilo\ is a more important prefix to remember than \tera\ (the metric prefix for 1 trillion)?
units with fewer 0s are easier to convert
quantities of thousands are more common than quantities of trillions
\kilo\ can be added to more base units than \tera\
the term \kilo\ was invented earlier than the term \tera\
7 multiple choice 1 point
why does \ketchup helps dinosaurs devour chunky meals\ not work as a memory aid for the six common metric prefixes?
its too long
it doesnt mention the metric system
its too difficult to remember
it doesnt have a placeholder for the base unit
8 multiple choice 1 point
what is the relationship between a decigram and a dekagram?
a dekagram is 10 times as large as a decigram.
a dekagram is one - tenth as large as a decigram.
a dekagram is 100 times as large as a decigram.
a decigram is 100 times as large as a dekagram.

Explanation:

Question 6

In daily life, quantities measured in thousands (using "kilo") are far more common than those in trillions (using "tera"). For example, we talk about kilometers (1000 meters) for distance in daily commutes, but rarely use tera - related units in common, non - scientific, non - large - scale industrial contexts.

A memory aid for metric prefixes should have a placeholder for the base unit. The phrase “Ketchup helps dinosaurs devour chunky meals” does not reserve a spot for the base unit (like gram, meter etc.). A proper memory aid like “King Henry Died By Drinking Chocolate Milk” (where “By” can be thought of as a placeholder for the base unit) works better.

• The prefix “deci -” means \(10^{- 1}\) (one - tenth). So a decigram \(=0.1\) gram.
• The prefix “deka -” means \(10^{1}\) (ten). So a dekagram \( = 10\) grams.
• If we compare a dekagram (\(10\) grams) and a decigram (\(0.1\) grams), we can find the ratio. Let \(x\) be the factor by which a dekagram is larger than a decigram. Then \(x=\frac{10}{0.1}=100\)

Answer:

Quantities of thousands are more common than quantities of trillions

Question 7