Question

Verify that 1 = 0.9 bar

Answer 1

The idea that an infinitely lengthy, non-terminating decimal expansion really indicates a succession of terminating decimals that approaches arbitrarily close to some number is the basis for why 0.999... = 1 

• A series of finitely long terminating decimals can be written out in shorthand as infinitely long decimals. Each number in the sequence is represented by a string of 9s following the decimal point, and the value 0.999 symbolises a sequence of terminating decimals.
• The first number in the series is 0.9, followed by 0.99, 0.999, 0.99999, and so forth. We add a ninth number (9th) to the end of the expansion of each integer in the series.

• We identify the sequence with its limit in the case of an infinite decimal, which serves as a stand-in for the type of infinite sequence of terminating decimals we encountered earlier.
• This is what we mean when we state that the repeating decimal 0.9999..., which represents the limit of that series, is equal to 1. The sequence of terminating decimals 0.9, 0.99, 0.999, 0.9999, and so on, converges to 1.
• Similar effects are observed for irrational numbers with non-repeating decimal expansions. The sequence of terminating decimal numbers 3, 3.1, 3.14, 3.141, 3.1415, 3.14159, and so on, converge to when we state that = 3.14159...
• In general, the limit of the series of terminating decimals that make up an infinite expansion is assumed to exist for any infinitely long decimal expansion.

To know more, click here:

https://brainly.in/question/125163

https://brainly.in/question/47653213

#SPJ3

Answer 2

Yes, 1 atmosphere (atm) is approximately equal to 0.9 bar.

1 atm is defined as the pressure exerted at sea level by the weight of the Earth's atmosphere, and it is approximately equal to 1013.25 hPa (hectopascal) or 760 mmHg (millimeter of mercury).

1 bar is defined as 100,000 Pa (pascal) or 100 kPa. So 1 atm is approximately equal to 0.987 bar.

It's a small approximation error, but it is not exact.

• Pressure is a measure of the force exerted per unit area. It is a scalar quantity and is typically measured in units such as pascals (Pa), atmospheres (atm), or bars (bar).

• Pressure can be exerted by a gas, liquid, or solid, and it can be exerted in any direction. For example, the weight of the atmosphere exerts pressure on the surface of the Earth, while the pressure in a tire is caused by the air inside it.

• There are several types of pressure, including gauge pressure, absolute pressure, and vacuum pressure. Gauge pressure is the pressure measured above or below atmospheric pressure, absolute pressure is the pressure measured relative to a perfect vacuum, and vacuum pressure is the pressure measured below atmospheric pressure.

To know more about  Pressure visit : https://brainly.com/question/12971272

https://brainly.com/question/12977546

#SPJ3