(1.73 x 10^3) (2.0 x 10^3) = 3.5 x_______?

  • Thread starter land_of_ice
  • Start date
In summary, scientific notation is a way of writing very large or very small numbers by using a decimal number between 1 and 10 multiplied by a power of 10. To multiply numbers in scientific notation, you first multiply the decimal numbers and then add the powers of 10. The answer can be checked using a calculator or by estimation. It can also be converted to standard form by moving the decimal point. This equation has real-world applications in various fields such as astronomy, physics, chemistry, engineering, and finance. It allows for easier representation and manipulation of large and small numbers, making it a valuable tool in scientific and mathematical fields.
  • #1
land_of_ice
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Homework Statement



Using this scientific calculator on line, how do you calculate (1.73 x 10^3) (2.0 x 10^3) = 3.5 x_______?
http://www.calculator.com/calcs/calc_sci.html

Homework Equations



(1.73 x 10^3) (2.0 x 10^3) = 3.5 x_______ <--------fill in the blank
When do you press the exp button and what other buttons do you push?

The Attempt at a Solution



So far pressing the exp button after pressing 3 did not work, some random number came up. The solution is in the manual for class work , but the steps on how to do it are not.
 
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  • #2
Press
1
.
7
3
Exp
3
 
  • #3
Try this:
(1 x 10^3) x (1 x 10^3) = ?
= (10^3) x (10^3) = ?
= 1000 x 1000 = ?
 

FAQ: (1.73 x 10^3) (2.0 x 10^3) = 3.5 x_______?

What is scientific notation and how is it used in this equation?

Scientific notation is a way of writing numbers that are either very large or very small. In this equation, the numbers are written in the form of a decimal number between 1 and 10 multiplied by a power of 10. This allows for easier representation and calculation of very large or small numbers.

How do you multiply numbers in scientific notation?

To multiply numbers in scientific notation, you first multiply the decimal numbers together, then add the powers of 10. In this equation, we would multiply 1.73 and 2.0 to get 3.46, and then add the powers of 10 (3 + 3) to get 6. Therefore, the answer is 3.46 x 10^6.

How can you check if the answer is correct?

To check if the answer is correct, you can use a calculator or do the multiplication manually. In this equation, we could also estimate the answer by rounding the numbers to 2 and 2, which would give us 4 x 10^6. This is close to our actual answer of 3.46 x 10^6, so we can be confident that the answer is correct.

Can you convert the answer to standard form?

Yes, the answer can be converted to standard form. To do so, we move the decimal point to the left or right until there is only one non-zero digit to the left of the decimal point. In this equation, we would move the decimal point 6 places to the right, giving us the answer of 3,460,000.

How does this equation relate to real-world applications?

This equation can be used to represent very large numbers in fields such as astronomy, physics, and chemistry. It is also commonly used in engineering and financial calculations. Additionally, it can be used to represent very small numbers, such as the size of atoms or molecules in chemistry. By using scientific notation, these numbers can be easily expressed and manipulated, making it a useful tool in various scientific and mathematical fields.

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