Largest/smallest number possible

Largest Number :largest number is determined by the digits in the number. The digit in the highest place value (e.g., hundreds, thousands) contributes the most to making the number larger.

Smallest Number : mallest number is determined by the digits in the number, with the smallest digits (e.g., zeros) in the lowest place values making the number smaller.

Activities and Examples:

  • Largest Number:
    • Ask students to create the largest number possible using given digits (e.g., using 1, 3, 5, and 7 to make 7,531).
    • Practice ordering numbers from smallest to largest and vice versa
  • Smallest Number:
    • Encourage students to identify the smallest number in a set.
    • Use real-world examples like counting objects, where zero represents no objects present.

Learn with an example

8     1     9     7____

  • Use a place value chart to help. Put the least digit in the highest place value.
thousandshundredstensones
1???
  • Now put the least remaining digit in the next-highest place value.
thousandshundredstensones
17??
  • Fill in the rest of the place values the same way.
thousandshundredstensones
1789
  • The least number you can make is 1,789.

8     4     1     6     9_______

  • Use a place value chart to help. Put the least digit in the highest place value.
ten
thousands
thousandshundredstensones
1????
  • Now put the least remaining digit in the next-highest place value.
ten
thousands
thousandshundredstensones
14???
  • Fill in the rest of the place values the same way.
ten
thousands
thousandshundredstensones
14689
  • The lowest number you can make is 14,689.

1     9     3     2     7__________

  • Use a place value chart to help. Put the greatest digit in the highest place value.
ten
thousands
thousandshundredstensones
9????
  • Now put the greatest remaining digit in the next-highest place value.
ten
thousands
thousandshundredstensones
97???
  • Fill in the rest of the place values the same way.
ten
thousands
thousandshundredstensones
97321
  • The highest number you can make is 97,321.