A Number rounded to the nearest tenth is 6.1. The same number rounded to the nearest hundredth is 6.08 and rounded to the nearest thousandth is 6.083. What is the original number?

The School Subject is NOT 6th grade. Please label it carefully (MATH, for example?) so that the correct teacher will read your post & answer it.

Sra

well there are several anwers to this problem, actually.

here they are:
6.0831
6.0832
6.0833
6.0834

To find the original number, we can follow these steps:

Step 1: Look at the number rounded to the nearest tenth, which is 6.1. The only decimal place affected by rounding to the nearest tenth is the first decimal place after the decimal point.

Step 2: If the number rounded to the nearest tenth is 6.1, it means that the original number could be anything between 6.05 and 6.15.

Step 3: Now, let's move to the number rounded to the nearest hundredth, which is 6.08. Rounding to the nearest hundredth means we need to consider the two decimal places after the decimal point.

Step 4: If the number rounded to the nearest hundredth is 6.08, it means that the original number could be anything between 6.075 and 6.085.

Step 5: Finally, let's consider the number rounded to the nearest thousandth, which is 6.083. Rounding to the nearest thousandth means we need to consider the three decimal places after the decimal point.

Step 6: If the number rounded to the nearest thousandth is 6.083, it means that the original number could be anything between 6.0835 and 6.0835.

Step 7: Combining the information from steps 2, 4, and 6, we find that the only range that satisfies all the conditions is 6.0835.

Therefore, the original number is 6.0835.