One book weighs 1 kilogram the other book weighs 200 grams. What book weighs more, show your work.

1 Kilogram = 1000 Grams

To determine which book weighs more, we need to compare their weights. The weight of one book is given as 1 kilogram, and the weight of the other book is given as 200 grams.

To compare the weights of two objects, it is important to have a consistent unit of measurement. In this case, we need to convert the weight of both books into the same unit—in either kilograms or grams.

Since both books have their weights initially given in different units, we will convert the weight of the 1-kilogram book into grams to have a common unit.

1 kilogram is equivalent to 1000 grams. Therefore, the weight of the 1-kilogram book can be written as 1000 grams.

Now, we can compare the weights of the two books:

1 kilogram = 1000 grams (weight of the first book)
200 grams (weight of the second book)

Since 1000 grams is greater than 200 grams, we can conclude that the first book weighing 1 kilogram is heavier than the second book weighing 200 grams.

In summary:
- First book weight: 1 kilogram (or 1000 grams)
- Second book weight: 200 grams
- Therefore, the first book weighs more.