Comparing and ordering large multi-digit integers

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:
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

Lessons

  • Introduction
    Introduction to Comparing and Ordering Large Multi-Digit Integers:
    a)
    How to compare two large multi-digit integers (positive and negative)

    b)
    How to order two large multi-digit integers (positives and negatives)


  • 1.
    Comparing integers on a number line
    Draw dots on the number line for each integer. Circle the number that is bigger.
    a)
    -4 and 2

    Comparing and Ordering Large Multi-Digit Integers

    b)
    -153 and -163

    Comparing and Ordering Large Multi-Digit Integers

    c)
    -72 000 and -78 000

    Comparing and Ordering Large Multi-Digit Integers


  • 2.
    More or less negative integers
    Circle the integer that is more negative. Write "less" or "greater" under each number.
    a)
    -12 vs. -13

    b)
    -2867 vs. -2495

    c)
    -3,829,001 vs. -3,840,756


  • 3.
    Ordering multi-digit integers: least to greatest
    Order the integers from least to greatest. Use the less than symbol (<).
    a)
    -14, 0, -25

    b)
    -956, -487, -1023

    c)
    -51 247, -41 247, -61 247

    d)
    -418,754,629 , -147,856,023 , -482,739,165


  • 4.
    Ordering multi-digit integers: greatest to least
    Order the integers from greatest to least. Use the greater than symbol (>).
    a)
    -5, 1, -3

    b)
    -1747, -7417, -4177

    c)
    -985,176 , -593,229 , -697,047

    d)
    -34,867,921 , -43,532,107 , -33,124,689


  • 5.
    Writing a multi-digit integer within a range
    Write an integer between each pair of integers in the following scenario:
    a)
    One year, the weather averages in the month of October had the highest temperature of 6°C and the lowest temperature of -8°C.

    b)
    During a deep-sea exploring expedition, a diver was at 157 feet below sea level (-157 ft). A few minutes later, the diver was pulled up and is now at 132 feet below sea level (-132 ft).

    c)
    There are no popular movies in theatres this week. On Monday, the theatre company reported a loss of -$127,613. By Wednesday, there was a total loss of -$540,859 for the week already.