What is 210000 correct to 2 significant figures?

210000 correct to 2 significant figures is 210000. In scientific notation, this can be expressed as 2.1 x 10^5.

In the context of significant figures, the concept is used to determine the precision of a number and to reflect the degree of certainty in the measurement or calculation. The significant figures are the digits that carry meaning in a number, including all reliable digits and the first uncertain or estimated digit.

In the number 210000, all the digits are considered significant because they are reliable and carry meaning. However, when the number is rounded to 2 significant figures, we only consider the first two digits, which are 2 and 1. The remaining digits become insignificant and are ignored for rounding purposes.

Hence, when rounded to 2 significant figures, the number 210000 remains the same as it is, with no changes. It is important to note that the rounding to 2 significant figures does not involve changing the value of the number, but rather adjusting its representation to reflect the level of precision or uncertainty in the measurement or calculation.

What is the upper bound of 370 to 2 significant figures?

The upper bound of 370 to 2 significant figures is 400.

When we round a number to 2 significant figures, we are looking at the first two non-zero digits from the left. In this case, the first two digits of 370 are 3 and 7. Because 7 is greater than or equal to 5, we round up the preceding digit, which is 3, to the next highest number. Therefore, 370 rounded to 2 significant figures is 400.

Rounding to significant figures is a useful method when we want to simplify and approximate numbers without losing too much precision. It is particularly important in scientific and mathematical calculations where accuracy is crucial.

It is important to note that rounding to significant figures can introduce a small amount of rounding error. This is because rounding causes a loss of information about the precise value of the number. In the case of 370, rounding it to 400 introduces an error of 30 units. However, for many practical purposes, the rounded value is sufficiently accurate.