Directions: Using the digits 0 through 9, without repeating any digits, find the quotient closest to 1.

### Hint

What can you explain about the quotient of any number and itself?

If we are looking for a quotient of 1, explain what that tells us about the relationship between the dividend and divisor?

If we are looking for a quotient of 1, explain what that tells us about the relationship between the dividend and divisor?

### Answer

7.01/6.98 and 6.98/7.01

Source: Michael Dennis

I think that only one of your answers is right.

Right… The second one is slightly closer to one: by just less than a couple hundred thousandths.

You are absolutely correct- the second response would be closer to 1. I wanted to include the other answer because I think it would spark some great conversations among the students as to why they are not the same distance from one.

I don’t think either answer that is given is correct because both result in quotients that have two of the same digit, which breaks the rules of the question.

When I look at it again, I see that there aren’t any boxes for the quotients so they are not subject to the rules. My students got tripped up on that.

I think that it is 7.01/6.98 and 6.98/7.01