Open Middle®
Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to find a sum where all the digits are the same. What is the greatest sum? What is the least sum?
Hint
Consider addends that require regrouping.
What is the relationship between the digit in the hundredths place and the sum?
What could the possible sums be? What sums don’t work?
What is the relationship between the digit in the hundredths place and the sum?
What could the possible sums be? What sums don’t work?
Answer
Solutions vary.
0.34 + 1.6 + 2.5 = 4.44
1.07+2.8 +3.9=7.77
6.48+2.3+0.1=8.88
2.89+ 4.1+ 3.0 = 9.99
0.34 + 1.6 + 2.5 = 4.44
1.07+2.8 +3.9=7.77
6.48+2.3+0.1=8.88
2.89+ 4.1+ 3.0 = 9.99
Source: Elizabeth Trochil
