Andrea totaled the distance she ran on Monday, Tuesday, and Wednesday. Her sum is 14.225.

Question

A 2-column table with 3 rows titled Total distance Andrea Ran (kilometers). Column 1 has entries Monday, Tuesday, Wednesday. Column 2 has entries 3.6, 4.705, 5.92.

Rounding to the nearest whole kilometer, determine whether Andrea’s sum is reasonable.

Round Monday’s distance to
.
Round Tuesday’s distance to
.
Round Wednesday’s distance to
.
Was Andrea’s sum reasonable?

Answer 1

To determine if Andrea's sum is reasonable, we will round the distances for each day to the nearest whole kilometer and then sum those rounded values.

Rounding the distances:

1. Monday (3.6 km)

   • Rounding 3.6 to the nearest whole kilometer: 4 km

2. Tuesday (4.705 km)

   • Rounding 4.705 to the nearest whole kilometer: 5 km

3. Wednesday (5.92 km)

   • Rounding 5.92 to the nearest whole kilometer: 6 km

Summing the rounded distances:

Now we sum the rounded distances:

• Monday: 4 km
• Tuesday: 5 km
• Wednesday: 6 km

Total: \[ 4 + 5 + 6 = 15 \text{ km} \]

Conclusion:

Andrea's original sum was 14.225 km, and the rounded sum is 15 km. Since 14.225 is very close to 15 km (and all rounded values are reasonable estimates of the original distances), we can conclude that Andrea's sum is reasonable.