Expressing answers answers for numbers and unites.

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In summary, the current price of all the gold mined over history is estimated to be $4.59 x 10^12, and the density of gold can be expressed as 19.3 g/cm^3 or approximately ? kg/m^3.
  • #1
Sun44
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Homework Statement



""""
a) The price of gold, according to << Link removed by Moderator >>is currently $27 per gram. It is
estimated that over the course of history about 170,000 tonnes of gold has been mined,
what would the current price of all this gold be?
b) The density of gold is 19.3 g cm^-3. Express it in units of kgm^-3. """



Homework Equations



Not sure

The Attempt at a Solution



a) 4.59 x 10^12 (3 SF)
 
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  • #2
Sun44 said:

Homework Statement



""""
a) The price of gold, according to << Link removed by Moderator >>is currently $27 per gram. It is
estimated that over the course of history about 170,000 tonnes of gold has been mined,
what would the current price of all this gold be?
b) The density of gold is 19.3 g cm^-3. Express it in units of kgm^-3. """



Homework Equations



Not sure

The Attempt at a Solution



a) 4.59 x 10^12 (3 SF)
Use the factor label method.

[tex]\frac{19.3 \ g}{cm^3} \cdot \frac{\text{ ? } kg}{\text{ ? } g} \cdot \frac{\text{ ? }}{\text{ ? }} = \text{The Answer}[/tex]

You'll have to figure out what goes in place of all the "?". That is, how do you convert between g and kg? Also, how do you get the cm3 to become m3?
 

1. How do you convert units of measurement?

To convert units of measurement, you need to know the conversion factor between the two units. Multiply the value in the original unit by the conversion factor to get the equivalent value in the desired unit.

2. How do you express numbers in scientific notation?

To express numbers in scientific notation, move the decimal point to the left or right so that there is only one non-zero digit to the left of the decimal point. Then, multiply by 10 to the power of the number of places you moved the decimal point. If the decimal point was moved to the left, the exponent will be negative; if it was moved to the right, the exponent will be positive.

3. What is the difference between accuracy and precision?

Accuracy refers to how close a measurement is to the true or accepted value, while precision refers to how close multiple measurements of the same quantity are to each other. A measurement can be precise without being accurate, but it cannot be accurate without being precise.

4. How do you round numbers to a specific number of significant figures?

To round numbers to a specific number of significant figures, start from the leftmost non-zero digit and count that digit as the first significant figure. Continue counting all the digits until you reach the desired number of significant figures. If the next digit is 5 or higher, round up the last significant figure. If it is 4 or lower, leave the last significant figure as is.

5. What is the order of operations when dealing with numbers and units?

In general, the order of operations when dealing with numbers and units follows the standard mathematical order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). However, when converting units, it is important to first convert to the base unit and then convert to the desired unit.

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