 Hello and welcome to this session. In this session we will discuss a question which says that complete the following statements. First is 21 days is equal to dash weeks. Second, 24,000 milligrams is equal to dash kilograms. Third is 0.457 kilometers is equal to dash millimeters. Now let us start with the solution of the given question. Now in the first part we have given 21 days and we have to convert days into weeks. Now we know 1 week is equal to 7 days which is unit ratio 7 days upon 1 week. Now to convert smaller unit that is days to larger unit that is weeks we multiply it by reciprocal this given unit ratio Now reciprocal of unit ratio is 1 week upon 7 days. So 21 days is equal to 21 days into 1 week upon 7 days. Now we divide out the common units and we know that 7 into 3 is 21 so this is equal to 3 weeks. Therefore 21 days is equal to 3 weeks. Now let us start with second part. Now in second part we have to convert 25,000 milligrams into kilograms. Now we know that 1 gram is equal to 1,000 milligrams and 1 kilogram is equal to 1,000 grams. Now 1 gram is equal to 1,000 milligrams is the unit ratio 1,000 milligrams upon 1 gram and this is the unit ratio 1,000 grams upon 1 kilogram. Now here we have to convert 24,000 milligrams into kilograms. Now to convert smaller units milligrams into larger units kilograms multiply it by reciprocal of these unit ratios. Now reciprocal of unit ratio 1,000 milligrams upon 1 gram is 1 gram upon 1,000 milligrams reciprocal of unit ratio 1,000 grams upon 1 kilogram is 1 kilogram upon 1,000 grams. So 24,000 milligrams is equal to 24,000 milligrams into 1 gram upon 1,000 milligrams into 1 kilogram upon 1,000 grams. Now we will divide large the common units and this is equal to 24 upon 1,000 milligrams which is equal to 0.024 kilograms. So 24,000 milligrams is equal to 0.024 kilograms. Now let us start with third part and in third part we have to convert 0.457 kilometers into millimeters. Now we know that 1 meter is equal to 1,000 millimeters and 1 kilometer is equal to 1,000 meters. Now this is the unit ratio 1,000 millimeters upon 1 meter and this is the unit ratio 1,000 meters upon 1 kilometer. Now here we have to convert 0.457 kilometers into millimeters. Now to convert larger unit kilometers into smaller unit millimeters we multiply it by these unit ratios. So 0.457 kilometers is equal to 0.457 kilometers into 1,000 millimeters upon 1 meter into 1,000 meters upon 1 kilometer. Now here we divide out the common units and on multiplying this is equal to 457,000 millimeters. Therefore 0.457 kilometers is equal to 457,000 millimeters and this completes our session. Hope you all have enjoyed this session.