# Problem of the Week Problem A What Number Am I?

I am a five-digit number made of the digits $$0$$, $$3$$, $$4$$, $$6$$, and $$9$$. In my number, the following are true.

• The digit $$4$$ is in a position whose place value is $$10$$ times the place value of the position of the digit $$9$$ and $$100$$ times the place value of the position of the digit $$0$$.

• The digit $$3$$ is in a position whose place value is $$100$$ times the place value of the position of the digit $$9$$.

• The digit $$0$$ in a position whose place value is $$10$$ times the place value of the position of the digit $$6$$.

What number am I?

Themes: Computational Thinking, Number Sense