1. Produced by MEI on behalf of OCR © OCR 2013 Using Standard Form to Solve Problems

2. Produced by MEI on behalf of OCR © OCR 2013 Travel to Mars How long would it take a space ship travelling at an average speed of 2.6 × 10 3 km/h to reach Mars 8.32 × 10 7 km away?

3. Produced by MEI on behalf of OCR © OCR 2013 Travel to Mars The spaceship travels 2.6 x 10 3 km every hour This means it travels 2600km every hour It would be useful to find out how long it to travel 1km You haven’t finished your calculation so don’t round yet Distance (km)26008.32 x 10 7 Time(hours)1 0.000384 1

4. Produced by MEI on behalf of OCR © OCR 2013 Travel to Mars Now you can work out how long it takes to travel 8.32 x 10 7 km = 83200000km What difference would it have made to your answer if you had rounded in the last slide? Distance (km)26001832000000 Time (hours)10.000384… 32000

5. Produced by MEI on behalf of OCR © OCR 2013 Calculating with Standard Form

6. Produced by MEI on behalf of OCR © OCR 2013 Standard Form on a Calculator

7. Produced by MEI on behalf of OCR © OCR 2013 The mass of the Earth is approximately 5 970 000 000 000 000 000 000 000 kg. Write this number in standard form. The mass of Jupiter is approximately 1900 000 000 000 000 000 000 000 000 kg. Write this number in standard form. How many times heavier is Jupiter than Earth?

8. Produced by MEI on behalf of OCR © OCR 2013

9. Examples

10. Produced by MEI on behalf of OCR © OCR 2013 Useful Formulas