Question

Alex is thinking of a number. He multiplies it by 1,000 then divided it by 10.

The answer is 475.
What was his number?

Answer 1

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!

Answer 2

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