Subjects arithmetic

Decimal Rounding 3C35Dd

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to create a decimal number that ends in the thousandths place, has a 2 in the thousandths place, and rounds to 2 when rounded to the nearest whole number. 2. **Understand the rounding rule:** When rounding to the nearest whole number, if the decimal part is 0.5 or greater, round up; if less than 0.5, round down. 3. **Analyze the requirements:** - The number ends in the thousandths place, so it has three decimal digits. - The digit in the thousandths place is 2. - When rounded to the nearest whole number, the result is 2. 4. **Construct the number:** - The whole number part must be 2 because rounding to 2 means the number is close to 2. - The decimal part must be less than 0.5 to round down to 2. - The thousandths digit is 2, so the decimal part looks like 0.00x where x=2. 5. **Example number:** $$2.002$$ 6. **Verify rounding:** - Rounding 2.002 to the nearest whole number: $$\text{Since } 0.002 < 0.5, \text{round down to } 2.$$ 7. **Final answer:** The number is **2.002** which ends in the thousandths place, has a 2 in the thousandths place, and rounds to 2 when rounded to the nearest whole number.