Verified Answer :

Inverse it:-

Answer:- 475
Instead of multiplying 1000 divide. and instead of dividing 10 multiply.
 
475 ÷ 1000 × 10 
0.475 × 10 
4.75 

Alex is thinking of the number 4.75.

Check:-
4.75 × 1000 ÷ 10
4750 ÷ 10
475
Correct!

Alex is thinking of the number 4.75!

Solutions 

1) Lets use n as alex's number 
⇒ n x 1000
⇒ n ÷ 10 
⇒ = 475 


To solve the problem do the opposite steps 

475 ÷ 1000 =  n
n = 0.475

0.475 x 10 = n 
n = 4.75

CHECK YOUR WORK 

4.75 x 1000 = 4750
4750 ÷ 10 = 475 

The answer is correct 

⇒ The answer Alex is thinking of is 4.75





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