Question 1196142: Performing the indicated operations and express final answer using the correct number of significant figures.
1. 4. 765 cm3 ÷ 2.5 cm3 =
2. (65.7 cm) (0.0567 cm) =
Answer by math_tutor2020(3817)   (Show Source):
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Problem 1
Use a calculator or long division to divide as you normally would.
(4.765)/(2.5) = 1.906
The units cm^3, aka "cubic centimeters", cancel out.
The 1.906 rounds to 1.9 which is to two sig figs.
We round to the lowest sig fig count of the original values.
4.765 = four sig figs
2.5 = two sig figs
In other words, always go for the least accurate measurement of the original given values.
Think of it like going for the weakest link in the chain.
Answer: 1.9
There are no units since they canceled
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Problem 2
Multiply the values out using a calculator or pencil/paper
The lattice method is a handy visual tool for pencil/paper method.
65.7*0.0567 = 3.72519
Like with the previous problem, we round to the smaller sig fig count
65.7 = three sig figs
0.0567 = three sig figs
Note that these particular "0"s are not sig figs
The 3.72519 rounds to 3.73 which is to three sig figs
The units are cm^2, aka "square cm". Think of a 1 cm by 1 cm rectangle which is really a square. This is exactly where "square cm" comes from.
Answer: 3.73 cm^2
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