Skip to main content
← Back to archive

Problem #1 · July 28, 2026

Order of operations

Find the value of the expression. 20⋅19−19⋅18+18⋅17−17⋅1620 \cdot 19 - 19 \cdot 18 + 18 \cdot 17 - 17 \cdot 16
  1. A3636
  2. B144144
  3. C7070
  4. D7272

WORKED EXAMPLE

Solution

Group the terms and factor out the common factor: 20⋅19−19⋅18=19⋅(20−18)=19⋅2=3820\cdot19-19\cdot18=19\cdot(20-18)=19\cdot2=38 and 18⋅17−17⋅16=17⋅(18−16)=17⋅2=3418\cdot17-17\cdot16=17\cdot(18-16)=17\cdot2=34. The sum is 38+34=7238+34=72.
Solve today's problem