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Comparing and ordering large multi-digit integers

Topic Notes

In this lesson, we will learn:

  • To compare integers—positive and negative whole numbers—up to millions place values
  • To order a list of integers—positive and negative whole numbers—up to millions place values

Notes:

  • When comparing numbers, we use the symbols:
Comparing and Ordering Large Multi-Digit Integers

  • For integers, use a number line to understand which numbers are bigger or smaller
Comparing and Ordering Large Multi-Digit Integers
    • Smaller numbers are to the left; bigger numbers are to the right
      • Ex. Look at the pairs of opposite numbers: -5 < -2 vs. 5 > 2

  • For negative numbers: the bigger the negative, the smaller the value (i.e. more negative means less value)
Comparing and Ordering Large Multi-Digit Integers

  • The same rules apply for comparing multi-digit integers:
    • Ex. Compare the number -5000 with: 6000, 5000, 0, and -6000
Comparing and Ordering Large Multi-Digit Integers
      • -5000 < 6000
      • -5000 < 5000
      • -5000 < 0
      • -5000 < 6000

  • There are two ways to order a list of numbers, including multi-digit integers:
    • From least to greatest (smallest to biggest)
      • most negative to least negative
    • From greatest to least (biggest to smallest)
      • least negative to most negative
    • Ex. -6000 < -5000 < 0 < 5000 < 6000