How Do You Solve Problems With Significant Figures?

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So the answer should be 955.3 g.For multiplication and division, the result should have as many sigfigs as the measured number with the smallest number of sigfigs. So the answer should be 1.8×10^15 g.In summary, for the first question, the sum of the measurements is 955.3 g and for the second question, there are 2 significant figures in the measurement 60,000,000 km/s.
  • #1
Bubofthedead
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Homework Statement



Question 1.
Find the sum of the measurements 896 g, 55.2 g, 0.63 g, and 3.5 g.

Question 2.
How many significant figures are in the measurement 60,000,000 km/s?

Homework Equations


The Attempt at a Solution



Attempt on #1: 955.33 g (wrong ans)
Attempt on #2: 2 sigfigs (wrong ans)

Homework Statement


Homework Equations


The Attempt at a Solution

 
Last edited:
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  • #2
Bubofthedead said:
Attempt on #1: 955.33 km/s (wrong ans)
Attempt on #2: 2 sigfigs (wrong ans)

The first question is asking for grams not km/s
In the second question is a trailing 0 considered significant?
 
  • #3
Yeah, the km/s was a typo, i was looking at #2's units when I was typing.
 
  • #4
Bubofthedead said:

The Attempt at a Solution



Attempt on #1: 955.33 g (wrong ans)

You did the math correctly. What do the significant figure rules say for addition/subtraction?
 
  • #5
Bubofthedead said:
3.5 g
I only see two numbers right there. Does that help?
 
  • #6
Hi Bubofthedead! :smile:

You'd better read http://en.wikipedia.org/wiki/Significant_figures

In particular:
For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places.
 

Related to How Do You Solve Problems With Significant Figures?

1. What are significant figures?

Significant figures are the digits in a number that are considered to be accurate and reliable. They represent the precision of a measurement or calculation, and are used to indicate the level of uncertainty in a value.

2. How do I determine the number of significant figures in a given number?

To determine the number of significant figures, start counting from the first non-zero digit and continue counting until the last digit. Zeros between two non-zero digits are also considered significant. However, trailing zeros after a decimal point are only significant if they are explicitly stated in the measurement or calculation.

3. How do I round a number to 2 significant figures?

To round a number to 2 significant figures, look at the third digit. If it is 5 or more, round the second digit up by 1. If it is less than 5, leave the second digit as it is. Then, remove all digits after the second digit.

4. Can I use scientific notation in 2 significant figure problems?

Yes, scientific notation can be used in 2 significant figure problems. In fact, it is often used to express very large or very small numbers in a more convenient and concise way.

5. What are some examples of 2 significant figure problems?

Some examples of 2 significant figure problems include measuring the length of an object with a ruler marked in millimeters, calculating the volume of a liquid using a graduated cylinder, and converting temperature from Celsius to Fahrenheit using a thermometer.

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