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A number 𝑥, when rounded to 1 significant figure, is equal to 60Find the upper and lower bound of 𝑥.

Question

A number 𝑥, when rounded to 1 significant figure, is equal to 60.

Find the upper and lower bound of 𝑥.

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Solution

To find the upper and lower bounds of a number that has been rounded to a specific significant figure, you need to consider what range of numbers could have been rounded to give the result.

In this case, the number x has been rounded to 60.

  1. First, consider the lower bound. The smallest number that would round up to 60 (to 1 significant figure) is halfway between 50 and 60, which is 55. So, the lower bound of x is 55.

  2. Next, consider the upper bound. The largest number that would round down to 60 (to 1 significant figure) is halfway between 60 and 70, which is 65. However, because we're dealing with rounding, the number 65 would actually round up to 70. So, the upper bound of x is just below 65.

So, the number x, when rounded to 1 significant figure, could be any number from 55 to just below 65.

This problem has been solved

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