Question

The following shows the process a student used to determine the number of yards in 3,218 meters.

(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 3,218 meters equals 0.5 mile

Step 2: 0.5 mile is being multiplied by conversion factor 1760 yards over 1 mile equals 880 yards

Step 3: 880 yards

What was the error made in this conversion?

The 1 mile and 3,218 meters in Step 1 should be switched.
The 1,609 meters and the 3,218 meters in Step 1 should be switched.
The conversion factor should be added in Step 2 instead of being multiplied.
The conversion factor should be divided in Step 2 instead of being multiplied.

Answer 1

B) The 1609 meters and the 3,218 meters in step 1 should be switched.

Explanation:

It shouldn't be 1,609/3,218 it should be the other way around: 3,218/1,609 which would then equal 2 miles instead of 0.5 mile

Then multiply 2 and 1760 and it equals: 3,520 yards in 3,218 meters :)