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The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height of the vase? Give your answer to 3 decimal places.

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8 votes

Answer:

45.650 centimeters

Explanation:

The height of a vase is 45.7 centimeters when rounded to the nearest tenth of a centimeter. What is the shortest possible height of the vase? Give your answer to 3 decimal places

Given that :

Height of vase = 45.7 when rounded to the nearest tenth

The shortest possible height of the vase : will be 45.65, this is because, the subsequent digit (hundredth) after the tenth digit is the figure rounded to give a tenth digit of 7

From the we know that the tenth digit before rounding is 7 - 1 = 6

And smallest possible value the hundredth placed digit could have in other to be rounded to 1 is 5.

To three decimal place, the thousandth placed value could take the least possible value in a digit series, which is 0

Hence, the shortest possible height of the vase = 4.650

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