Guess the number. If you round the number to the nearest tenth, you get 0. If you round the number in the nearest hundredth, you get 0.02. If you round the number to the nearest thousandth, you get 0.019. What is the number? Clue: It is in decimal form.
To find the number, we will use the clues provided.
First, we need to understand how rounding works. When rounding to a certain decimal place, we look at the digit immediately to the right of that decimal place. If that digit is 5 or greater, we round up. If the digit is less than 5, we round down.
Let's consider the clue "If you round the number to the nearest tenth, you get 0." This means that the number lies between 0 and 0.1. Since rounding to the nearest tenth yields 0, we can conclude that the number is less than 0.05. It must be closer to 0, so we can assume the number is 0.
Now, let's consider the next clue: "If you round the number to the nearest hundredth, you get 0.02." Since the original number is already 0, rounding to the nearest hundredth should also give us 0. Therefore, this clue does not provide any additional information.
Lastly, the third clue states: "If you round the number to the nearest thousandth, you get 0.019." Again, since the original number is 0, rounding to the nearest thousandth should still give us 0. Therefore, this clue does not give us any new information either.
Combining all the clues, we can safely conclude that the number in decimal form is 0.