Mentally compute 12x101. Then try 123x101. Numerical patterns leading to algebra!

What Happens When You Multiply a 2- or 3-digit # by 101?

Part 1. Try It and See

Teacher Prompt:

Q. Choose several 2-digit numbers and multiply them by 101. Record the product each time.

Examples:

| Expression | Result |

| ---------- | ------ |

| 12 × 101 | 1212 |

| 34 × 101 | 3434 |

| 56 × 101 | 5656 |

| 78 × 101 | 7878 |

| 89 × 101 | 8989 |

Q. What pattern do you notice when multiplying a 2-digit number by 101?