Step 1: Writing the unit equivalence between miles and meters:
We need to convert miles to meters, but we are given the conversion factor between miles and kilometers and the conversion factor between kilometers and meters.
1 kilometer (km)= 1,000 meters (m)
1 mile (mi)= 1.61 kilometers (km)
Step 2: Writing the 2 conversion factors of 1:
We know that we must divide by miles and multiply be meters (so that miles unit will cancel out and meters unit will be created).
meters
_______ * _______
miles
We don’t need kilometers in the answer and we don’t have them in the given quantity, but we must use them in the conversion factors. Therefore, we must create kilometers and then cancel them out, to do so we need to multiply and divide by kilometers.
kilometers meters
___________ * _________
miles kilometers
Now we can put values from the given unit equivalencies into the conversion factors:
1 kilometer (km)= 1,000 meters (m)
1 mile (mi)= 1.61 kilometers (km)
1.61 kilometers 1,000 meters
________________ * _____________
1 miles 1 kilometers
Step 3: Writing the conversion expression that is equal to the given quantity multiplied by 2 conversion factors of 1:
1 mile= 1 mile 1.61 kilometers 1,000 meters = 1.61 * 1,000 = 1,610 meters
* _______________ * ______________
1 mile 1 kilometers