This task helps students build number sense as they practice calculating. The task has more than one solution which is nice. At the end it asks students to write a clue that gives the task only one solution.

## Materials

Paper and Pencils

## Task Instructions

- Use the clues to find the code number:
- It is between 8,500 and 8,800.
- When multiplied by 8, the result is a whole number.
- The digit in the hundreds place is ¾ the digit in the thousands place.
- The sum of all digits in the number is 26.
- The digit in the hundredths place is 200% of the digit in the tenths place.
- There are no zeros in the decimal places.

- What code numbers fit these clues?
- Explain how you used all of these clues to find these possibilities.
- Write one more clue so that there is only one possible code number.

## Reference

From Math for All: Differentiating Instruction, Grades 6-8 by Linda Dacey & Karen Gartland (Sausalito, CA: Math Solutions), pp. 257.