Starting with 0.2, four operations involving powers of 10 are used to give a final answer of

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Starting with 0.2, four operations involving powers of 10 are used to give a final answer of 2, as shown in the calculation chain below. 

The four operations used are as follows  ÷102  ×104  ÷103  ÷102 

a. Arrange the four operations in the calculation chain to give the correct final answer.

b. Can you arrange the four operations in a different way to give the same final answer?

c. Does the order of the operations matter? Give a convincing reason for your answer.

d. The result halfway is known, as shown below.

Write a possible order for the operations now.

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