To convert 4628 grams into kilograms and grams, we need to follow these steps:
1. Understand the Conversion Rate:
- 1 kilogram (kg) is equivalent to 1000 grams (g).
2. Determine the Number of Kilograms:
- We can find out how many full kilograms are present in 4628 grams by dividing the total grams by 1000.
- Therefore, the number of kilograms is given by the integer part of the division: [tex]\( \text{kg} = \left\lfloor \frac{4628}{1000} \right\rfloor \)[/tex].
- Performing the division, we get [tex]\( 4628 \div 1000 = 4.628 \)[/tex].
- The integer part is 4, so there are 4 kilograms.
3. Find the Remaining Grams:
- To find the left-over grams, we use the modulus operation (remainder when divided by 1000).
- Thus, the remaining grams are given by: [tex]\( \text{g} = 4628 \mod 1000 \)[/tex].
- Performing the modulus operation, we get [tex]\( 4628 \mod 1000 = 628 \)[/tex].
Hence, 4628 grams can be converted into:
- 4 kilograms and
- 628 grams.
So, the final result is:
4628 grams = 4 kilograms and 628 grams.