To find how much farther the rounded distance is compared to 3.5 km, subtract 3.5 from 3.8. The difference is 0.3 km.

Emma ran 3.846 km on Monday. Rounded to the nearest tenth, how far did she run? Then, how much farther than 3.5 km is that rounded distance?

Answer: Emma ran 3.8 km rounded to the nearest tenth, which is 0.3 km farther than 3.5 km.

Step-by-step solution

Step 1: Identify the rounding place and the next digit

To round $3.846\text{ km}$ to the nearest tenth, we look at the digit in the tenths place, which is $8$ , and the digit immediately to its right in the hundredths place, which is $4$ .

Step 2: Apply the rounding rule

Since the hundredths digit is $4$ , which is strictly less than $5$ , we keep the tenths digit as $8$ and drop the subsequent digits. Therefore, Emma ran approximately $3.8\text{ km}$ .

Step 3: Calculate the difference from 3.5 km

To find how much farther the rounded distance is compared to $3.5\text{ km}$ , subtract $3.5$ from $3.8$ . The difference is $0.3\text{ km}$ .

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