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Let's solve the given temperature conversion problems based on the Kelvin and Celsius relationship.

### a) Convert Kelvin to Celsius
The formula to convert Kelvin (K) to Celsius (°C) is:

\[
°C = K - 273
\]

i) **283 K to °C**:
\[
283 - 273 = 10°C
\]

ii) **300 K to °C**:
\[
300 - 273 = 27°C
\]

iii) **1000 K to °C**:
\[
1000 - 273 = 727°C
\]

### b) Convert Celsius to Kelvin
The formula to convert Celsius (°C) to Kelvin (K) is:

\[
K = °C + 273
\]

i) **0°C to K**:
\[
0 + 273 = 273 K
\]

ii) **40°C to K**:
\[
40 + 273 = 313 K
\]

iii) **−273°C to K**:
\[
−273 + 273 = 0 K
\]

### Summary of Answers:
- **a) Kelvin to Celsius**:
  1. \(283 \,K = 10°C\)
  2. \(300 \,K = 27°C\)
  3. \(1000 \,K = 727°C\)
  
- **b) Celsius to Kelvin**:
  1. \(0°C = 273 \,K\)
  2. \(40°C = 313 \,K\)
  3. \(−273°C = 0 \,K\)

Would you like more details or have any questions about these conversions?

### Related Questions:
1. How can you convert Celsius to Fahrenheit?
2. What is the absolute zero temperature in Fahrenheit?
3. How do you convert Fahrenheit to Kelvin directly?
4. What is the significance of absolute zero in thermodynamics?
5. What are the differences between Celsius, Kelvin, and Fahrenheit scales?

### Tip:
When converting between temperature scales, keep in mind that Kelvin is an absolute temperature scale with no negative values.

Convert the given temperatures between Kelvin and Celsius as specified.

Learn how to convert between Kelvin and Celsius using the simple formulas for temperature conversion. This problem covers converting temperatures like 283 K to Celsius and -273°C to Kelvin. Suitable for students in Grades 6-8.

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