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How heavy is 0.001 ounces?

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It's about as heavy as a Grain of Rice.
In other words, the weight of a Grain of Rice is 1 times 0.001 ounces.
(long grain; 14% moisture content)
A single long grain of rice weighs an average of 0.001 ounces. A staple through most of human history, archaeological evidence indicates that the earliest rice cultivation was about 11,500 years ago.
It's about six-and-a-half times as heavy as a Grain of Sand.
In other words, the weight of a Grain of Sand is 0.160 times 0.001 ounces.
(medium grain)
With tremendous variety in the size of grain and the component material, grains of sand weigh an average of 0.00016 ounces. In 2007, a team of seven in Myrtle Beach created the world's tallest sandcastle, which measured 15.10 m (49.55 ft) in height.
It's about eight times as heavy as a Sesame Seed.
In other words, 0.001 ounces is 7.790 times the weight of a Sesame Seed, and the weight of a Sesame Seed is 0.1280 times that amount.
(Sesamum indicum)
A sesame seed weighs approximately 0.000128 ounces. The McDonald's Big Mac sandwich, which is well-known for its sesame seed top bun, accounts for the consumption of an estimated 70,900 ounces of sesame seeds each day.
It's about one-tenth as heavy as a Raindrop.
In other words, the weight of a Raindrop is 10 times 0.001 ounces.
(a.k.a. drop, a.k.a. droplet) (average)
The weight of a raindrop depends heavily on the type of weather, but averages about 0.007 ounces. The familiar teardrop shape of a raindrop is actually an optical illusion, caused by the reflection of the light and the motion of the drop.
It's about one-thirtieth as heavy as a Nail.
In other words, the weight of a Nail is 28 times 0.001 ounces.
(for 15-gauge, 2-inch, finishing nails)
A two-inch finishing nail weighs 0.028 ounces. Nails have been in use for more than 5,400 years and were ven used as a medium of exchange in ancient times.
It's about one-fortieth as heavy as a Jelly Bean.
In other words, the weight of a Jelly Bean is 38 times 0.001 ounces.
(for Jelly Belly beans; approximate)
Made of sugar, corn syrup, and pectin, a single jelly bean weighs about 0.04 oz. President Ronald Reagan cited jelly beans as his favorite candy and 110,000 ounces of the candies were served at his first inauguration in 1981.
It's about 45 times as heavy as a Grain of Sugar.
In other words, 0.001 ounces is 45.40 times the weight of a Grain of Sugar, and the weight of a Grain of Sugar is 0.022 times that amount.
(a.k.a. white sugar, a.k.a. white refined sugar, a.k.a. table sugar, a.k.a. sucrose, a.k.a. saccharose)
A grain of sugar weighs approximately 0.0000220 ounces. Sugar consumption varies widely by country; the average citizen of the United States consumes about 2,160 ounces of sugar each year.