Comparing and ordering large multi-digit integers

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:

• For integers, use a number line to understand which numbers are bigger or smaller

• 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)

• The same rules apply for comparing multi-digit integers:
• Ex. Compare the number -5000 with: 6000, 5000, 0, and -6000

• -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