Comparing & Ordering Integers Practice Problems & Conceptual Mastery
Interpret statements of inequality as statements about the relative position of two numbers on a number line, compare signed numbers and absolute values, and order sets of integers from least to greatest.
📝 Worked Step-by-Step Example
On a horizontal number line, −8 lies to the left of −3. Because numbers further to the left are smaller, −8 < −3.
❓ Frequently Asked Questions
Why is −10 smaller than −2 even though 10 is bigger than 2?
Negative numbers represent quantities below zero (such as debt or freezing temperatures). A temperature of −10°C is 8 degrees colder than −2°C. On a number line, −10 is 10 units to the left of 0, making it strictly smaller than −2.
Is 0 greater than all negative numbers?
Yes. Zero is greater than every negative integer and less than every positive integer. On a number line, 0 lies to the right of every negative value.
What is the difference between comparing integers and comparing their absolute values?
Comparing integers considers their actual sign and number line position (e.g., −25 < −3). Comparing absolute values measures only distance from zero without direction (e.g., |−25| = 25 > |−3| = 3).
What is an easy way to remember which way < and > point?
The open 'mouth' of the symbol always opens toward the larger number, while the small pointed tip points toward the smaller number (e.g., 5 > 2 and −8 < −1).
🗺️ Pedagogical Learning Roadmap
Adding Integers→
Master core Adding Integers concepts to build computational fluency.
PrerequisiteComparing & Ordering Decimals→
Master core Comparing & Ordering Decimals concepts to build computational fluency.
Next StepDividing Integers→
Advance to Dividing Integers practice drills and timed challenges.
Next StepIntegers on a Number Line→
Advance to Integers on a Number Line practice drills and timed challenges.
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