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A number 𝑦, when rounded to 1 decimal place, is equal to 0.4Find the upper and lower bound of 𝑦.

Question

A number 𝑦, when rounded to 1 decimal place, is equal to 0.4Find the upper and lower bound of 𝑦.

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Solution

When a number is rounded to 1 decimal place, the rounding process could increase or decrease the last digit by 0.05.

So, if y is rounded to 0.4, it means that the actual value of y could be as low as 0.4 - 0.05 = 0.35 or as high as 0.4 + 0.05 = 0.45.

Therefore, the lower bound of y is 0.35 and the upper bound of y is 0.45.

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