IMC 2016 Q8
8. What is the value of 2.017 × 2016 − 10.16 × 201.7?
- A 2.016
- B 2.017
- C 20.16
- D 2016
- E 2017
Intermediate Mathematical Challenge 2016, Question 8. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 2017
2.017 × 2016 − 10.16 × 201.7 = 201.7 × 20.16 − 10.16 × 201.7
= 201.7(20.16 − 10.16) = 201.7 × 10 = 2017.
Solution © UK Mathematics Trust, from the IMC 2016 solutions. Longer versions with investigations: Solutions and investigations (PDF).