Comparing and ordering numbers up to millions

Comparing and ordering numbers up to millions

In this lesson, we will learn:

  • To compare whole numbers up to millions place values by finding the biggest place value of difference
  • To order a list of whole numbers up to millions place values by using a place value table

Notes:

  • To compare numbers, look at each place value digit starting on the left (biggest place value)
    • Find the biggest place value where the numbers are different to determine which number is bigger or smaller
    • Ex. 267,043,359 is bigger than 248,143,358
Comparing and Ordering Whole Numbers up to Millions
  • When comparing numbers, we use the symbols:
Comparing and Ordering Whole Numbers up to Millions
    • Ex. 267,043,359 is bigger than 248,143,358
      Therefore, 267,043,359 > 248,143,358

  • There are two ways to order numbers, from:
    • Least to greatest (smallest to biggest)
    • Or greatest to least (biggest to smallest)

  • One tool to help order a list of numbers is by using a place value table
    • Ex. Order the numbers from least to greatest: 12 654, 13 465, 9 546, 11 564
Comparing and Ordering Whole Numbers up to Millions
  • The place value table allows you to compare all place values clearly.
  • 9 546 < 11 564 < 12 654 < 13 465

Lessons

  • Introduction
    Introduction to Comparing and Ordering Whole Numbers up to Millions:
    a)
    How to compare two large whole numbers up to millions place values

    b)
    How to order two large whole number up to millions place values


  • 1.
    Comparing values of digits for two multi-digit whole numbers
    Fill in each box with the value of each digit for both numbers. Draw a circle around the bigger number.
    a)
    96,868 or 97,868
    Comparing and Ordering Whole Numbers up to Millions

    b)
    3,521,470 or 3,506,841
    Comparing and Ordering Whole Numbers up to Millions


  • 2.
    Comparing two multi-digit numbers up to millions
    Compare the numbers. Write the greater than (>) or less than (<) symbol in the blank.
    a)
    86,109 ___ 86,108

    b)
    7,934,084 ___ 7,925,152

    c)
    416,527,938 ___ 426,819,357


  • 3.
    Ordering multi-digit numbers up to millions: least to greatest
    Order the numbers from least to greatest. Use the less than symbol (<).
    a)
    13 956, 13 967, 13 945

    b)
    5 283 519, 5 287 472, 5 280 236


  • 4.
    Ordering multi-digit numbers up to millions: greatest to least
    Order the numbers from greatest to least. Use the greater than symbol (>).
    a)
    637 259, 639 248, 642 117

    b)
    13 586 214, 22 685 134, 41 865 322