Make three three-digit numbers that add up to as close to 1000 as possible using the digits 1- 9 only one time each.
There are multiple answers that would get 999 such as 247 + 563 + 189 or 164 + 237 + 598.
Is 1000 even possible? Here is a link to a Geogebra to help you check.
All posts by mathconfidence
february 2021 brain puzzler solution
January 2021 brain Puzzler solution
December 2020 Brain puzzler solution
November 2020 Brain puzzler solution
This puzzler has many solutions and is part of the Open Middle collection of problems. These questions stretch student thinking as they offer multiple solutions and are not PhotoMathable.
Place a digit in each box to make a true statement.
You can use 1 to 9 but only one time each.
How many solutions can you find?
(please do not use a calculator)
It seems that there are 10 solutions:
3/15 = 0.2
7/35 = 0.2
9/45 = 0.2
6/15 = 0.4
6/12 = 0.5
7/14 = 0.5
8/16 = 0.5
9/18 = 0.5
9/15 = 0.6

Here were the hints:
How does choosing the digits for the denominator affect the decimal value?
How might choosing the digit for the decimal make finding the digits for the fraction easier?
Converting a Fraction to a Decimal


