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How heavy is 0.0000011 tons?

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It's about nine-tenths as heavy as a Jelly Bean.
In other words, 0.0000011 tons is 0.91 times the weight of a Jelly Bean, and the weight of a Jelly Bean is 1.1 times that amount.
(for Jelly Belly beans; approximate)
Made of sugar, corn syrup, and pectin, a single jelly bean weighs about 0.0000013 tons. President Ronald Reagan cited jelly beans as his favorite candy and 3.5 tons of the candies were served at his first inauguration in 1981.
It's about one-and-three-tenths times as heavy as a Nail.
In other words, the weight of a Nail is 0.77 times 0.0000011 tons.
(for 15-gauge, 2-inch, finishing nails)
A two-inch finishing nail weighs 0.00000087 tons. 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 seven-tenths as heavy as a Paper Clip.
In other words, 0.0000011 tons is 0.71 times the weight of a Paper Clip, and the weight of a Paper Clip is 1.4 times that amount.
(average)
Notwithstanding the tremendous variation in sizes and materials, a typical paperclip weighs about 0.0000015 tons. The country of Norway has used the paper clip as something of a national symbol since the end of World War II based on the erroneous notion that the paperclip was invented by a Norwegian, Johan Vaaler. However, the paperclip had already been in existence for at least 30 years by the time of Vaaler patented his paperclip design.
It's about half as heavy as a Playing Card.
In other words, 0.0000011 tons is 0.55 times the weight of a Playing Card, and the weight of a Playing Card is 1.8 times that amount.
(ISO 216 B8 size, 2.5" x 3.5")
A single ISO 216 B8-size playing card weighs 0.000002 tons. Although this size is the most common home playing card, many casinos use "bridge size" cards — 2,640 sq. mm (4.036 sq. in) smaller in area.
It's about two-fifths as heavy as a Penny.
In other words, the weight of a Penny is 2.5 times 0.0000011 tons.
(United States) (formally one-cent coin) (Union shield design, 2010-present)
The weight of a United States penny is 0.0000028 tons. According to a 2010 report by the United States Mint, the cost of manufacturing and distributing a penny is $0.0179 — more than its face-value.
It's about one-fourth as heavy as a Die (Dice).
In other words, 0.0000011 tons is 0.24 times the weight of a Die (Dice), and the weight of a Die (Dice) is 4.2 times that amount.
(for six-sided, 16 mm, rounded cube)
A die, of the size most commonly used in board games and casinos, typically weight 0.0000045 tons. The use of dice and dice-like tools predates written history, with the oldest known examples belonging to a 5,000-year old backgammon set uncovered during an archaeological dig in modern-day Iran.
It's about five times as heavy as a Raindrop.
In other words, the weight of a Raindrop is 0.2 times 0.0000011 tons.
(a.k.a. drop, a.k.a. droplet) (average)
The weight of a raindrop depends heavily on the type of weather, but averages about 0.0000002 tons. 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.