Mr. Cervantes drove 3,156 miles in December and 8,099 miles in January. Select all the choices that are good estimates for the total number of miles Mr. Cervantes drove for both months by rounding by place values. (1 point)

Answer 1

To estimate the total miles Mr. Cervantes drove in December and January, we can round the numbers by place values.

1. For December, he drove 3,156 miles. We can round this to:

   • 3,200 (rounding to the nearest hundred)
   • 3,100 (rounding to the nearest hundred)

2. For January, he drove 8,099 miles. We can round this to:

   • 8,100 (rounding to the nearest hundred)
   • 8,000 (rounding to the nearest thousand)

Now, we can calculate the estimated total mileage using these rounded numbers:

• Using 3,200 and 8,100: \( 3,200 + 8,100 = 11,300 \)

• Using 3,200 and 8,000: \( 3,200 + 8,000 = 11,200 \)

• Using 3,100 and 8,100: \( 3,100 + 8,100 = 11,200 \)

• Using 3,100 and 8,000: \( 3,100 + 8,000 = 11,100 \)

The good estimates for the total number of miles Mr. Cervantes drove for both months (based on simple rounding) would be approximately 11,100, 11,200, and 11,300.