Can anybody help me with math expressions?

Question

So , I am in $7^{th}$ grade and my teacher gave me some really hard homework. What I have to do is use math expressions that equals each number between $1$ and $100$ , only using the numbers $1,2,3,4$. I really need help on this. Can anybody help?

Answer 1

I'm not entirely sure what you are asking but I can take a gander:

Suppose you want to express, say, $63$ using only the numbers $1,2,3$, and $4$. We know that $63=60+3$, so all we have to do is express $60$. We also know that $60=3\times 20$, and $20$ is just $4+4+4+4+4$. We can write

$$63=3\times(4+4+4+4+4)+3$$

There will be many ways to write any given number. As another commenter noted, you can simply write $1+1+1+\cdots+1$, with $63$ ones (but that's not very interesting).

Hope that helps!