Open Middle®
Directions: Using the digits 1 through 9 at most one time each, place a digit in each box to create two different whole number quotients: one that is greater than 300 and one that is less than 300. You may reuse all the digits for each quotient.
Hint
How can we tell if a quotient will have a whole number quotient without dividing? How can we predict whether the quotient will be greater than 300 or less than 300 without actually dividing?
Answer
There are many possible answers including 986 ÷ 2 which has a quotient of 493, and 486 ÷ 2, which has a quotient of 243.
Source: Robert Kaplinsky
One student found what might be the largest quotient 987/1=987.
Another student found what might be the smallest quotient 126/9=14
I teach 5th and decided to make it 2-9. A lot of my kids quickly figured out that they could use 1 as a divisor and had it solved quickly (which I actually LOVED because they are using their efficient math brains!) but I wanted them to think a little harder. Removing 1 as a divisor makes it a little more tricky.
986 divided by 2 equals 496
and 976 divided by 8 equals 122