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1.5 Energy: A Fundamental Part of Physical and -- Part 4

- The 1 is significant, but the trailing zeroes are ambiguous.
- You would assume one significant figure without more information.
- To indicate one significant figure or five, it is better to write this as 1 * 105.

- Follow the rules when carrying significant figures.

- The same number of (4 sig.)
- is carried by the 1.052 * 12.506 * 0.53 * 6.7208 * 6.7 result in multiplication or division.

- It is helpful to draw a line next to the number with the least decimal places.

- The number of decimal places is determined by this line.

- There is a different rounding procedure for cases in which the last digit is 5.
- The number of significant figures, 5.37 rounds to 5.4 procedure presented here is consistent round down if the last 5.34 rounds to 5.3 with electronic calculator and will be digit dropped is four or less.

- In this example, you ignore all the digits to the right of the left digit.

- Do not round intermediate steps if you want to avoid rounding errors in multi 6.78 : 5.903 : (5.489 - 5.01) step calculations.
- If you write down the answers, keep track of the least significant figures by using the least significant digit.

- In addition and subtraction, we focus on decimal places, while in multiplication and division we focus on significant figures.
- The answer may have a different number of significant figures than the initial quantities.
- Problems that involve both addition and subtraction should be kept in mind.

- Even though the initial numbers were three or four, the answer has only one significant figure.

- Round the intermediate result to three signif 1.10 * 0.5120 * 4.0015 * 3.4555 figures to reflect the three significant figures.

- The number of decimal places in the quantity is 4.562 and the number of decimal places in the parentheses is 452.33.
- The two significant figures should be reflected in the two figures in the least known quantity.

- To reflect the number of significant figures in the 0.142 quantity within the parentheses, mark the intermediate result to two significant figures.
- To reflect the one decimal place in the least known quantity, round the final answer to one decimal place.

- Scientists often repeat their work in order to have more confidence in their work.
- There are two different kinds of certainty associated with the measurement.
- A series of measurements can be close to one another, but not close to the true value.
- Consider the results of three students who weighed a block of lead multiple times and found it to have a true mass of 10.00 g (indicated by the solid horizontal blue line on the graphs in the accompanying figure).

- If they are close to the actual value, they are said to be precise, but only if they are consistent with one another.

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