# How do you use symbols to make the statement 4_5_2_7 = 107 true?

Jul 16, 2018

$4 \times {5}^{2} + 7$

#### Explanation:

It is a matter of 'playing' with combinations until you hit on one that works.

If we can use $4 , 5 \mathmr{and} 2$ to make 100 then all we need to do is add the 7.

I had several attempts using factorial to give a higher initial value. These failed. Then I hit upon the idea that we could do this:

${5}^{2} \times 4 \to 25 \times 4 = 100$

Now all we need to do is add the 7. So putting it in the order given we have:

$4 \times {5}^{2} + 7$