As a proud American, I am deficient in metric thinking.
For meters, I think of a football field minus 30 feet.
For a liter, thanks to Coca-Cola, I think of a liter bottle. Note: this is more or less a distinct physical memory. It is akin to my distinct physical memory of cups, tablespoons, e.g., after long experience through cooking.
But grams still stump me. Centigrams and milligrams I guess are of more intellectual interest.
When I was in grade school in the 1970s, and there was a big national movement for learning the metric system, I learned the mnemonic that a gram weighs about as much as a paper clip. Now that I go look at this online, there’s a lot of debate as to how accurate that is (and some discussion that a Bic pen cap might be a better mnemonic), but at least it gives a rough rule of thumb.
You can imagine a volume of water of the desired weight, along the lines of the old English-units jingle “A pint’s a pound the world around”. (Assuming measurement at sea level, of course.)
The corresponding one I know for metric units is “Wherever in the world I am, a cubic centimeter is a gram”.
For everyday estimation purposes, 1 gram = 1 mL or 1 CC of water. 1 mL is about a fifth of a teaspoon. Of course, you don’t hold 1 gram of water in the palm of your hand…
A nickel weighs 5 grams. People use them to calibrate their scales. A 2-liter bottle of pop is about 2 kilograms. A fifth of liquor is actually 750 ml, not 1/5 of a gallon, and the liquid inside weighs 750 grams.
A meter is close enough to a yard that in news reports they are often substituted for eachother for the region the wire story is going out to.
You mean 100 meters. For one meter, I generally just picture a meter stick; about 10% longer than a yardstick. The average height of a man is somewhere around 1.7 meters.
A gram is the weight of one cubic centimeter (i.e. 1x1x1cm cube, or 1 milliliter) of water. That’s 1/5 of a teaspoon.
I’ve never used centigrams, but that’s just 100 grams. The weight of 100ml of water, which is just under 1/2 cup. A milligram is 1/1000 of a gram, too small for humans to have a “feel” for.
Not that I’m suggesting this as a practical solution, but… I had some brief experiences with certain psychoactive substances in my younger days, and while it didn’t do me much good overall, it did leave me with a useful mental image of a gram.
The gram is not the SI base unit of mass, which is instead the kilogram. (No, this wrinkle in the system is not especially logical).
As for “centi-”, the prefix is not actually used much apart from centimetres and, sometimes, centilitres. I think people in metric countries would scratch their heads if you started talking about “centigrams”. They use kilograms, grams, even milligrams (often used in medical/scientific contexts), but not centigrams.
Likewise, “hecto-” is virtually unknown except for the unit of land area, the hectare.
One thing I learned back in grammar school is that a Nickle weighs 5 grams – easy to remember, because it’s one gram per cent. A quick check of the Wikipedia page shows that this is still true –