Comparing and ordering large multi-digit integers
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Intros
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Examples
Lessons
- Comparing integers on a number line
Draw dots on the number line for each integer. Circle the number that is bigger. - More or less negative integers
Circle the integer that is more negative. Write "less" or "greater" under each number. - Ordering multi-digit integers: least to greatest
Order the integers from least to greatest. Use the less than symbol (<). - Ordering multi-digit integers: greatest to least
Order the integers from greatest to least. Use the greater than symbol (>). - Writing a multi-digit integer within a range
Write an integer between each pair of integers in the following scenario:- One year, the weather averages in the month of October had the highest temperature of 6°C and the lowest temperature of -8°C.
- 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).
- 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.
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Practice
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:
- 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