Compare and order integers
key notes:
Understanding Integers:
- Integers include all whole numbers, both positive and negative, as well as zero (e.g., -3, -2, -1, 0, 1, 2, 3).
- Integers do not include fractions or decimals.
Number Line:
- Use a number line to visualize integers.
- The left side of the number line represents negative integers, while the right side represents positive integers.
- Zero is in the middle and acts as the dividing point.
Comparing Integers:
- To compare two integers, determine their position on the number line:
- The integer that is further to the right is greater.
- The integer that is further to the left is smaller.
- Symbols used for comparison:
- Greater than (>): e.g., 3 > -1
- Less than (<): e.g., -2 < 2
- Equal to (=): e.g., -1 = -1
Ordering Integers:
- When ordering integers, list them from least to greatest or greatest to least.
- For example, to order the integers -2, 3, 0, and -5 from least to greatest:
- -5, -2, 0, 3.
Learn with an example
Which words make this statement true?
3 ____ -3
- is greater than
- is less than
Use the number line to help you compare 3 and –3.
3 is farther right than -3.
3 is greater than -3.
Which words make this statement true?
-2 ____ 0
- is greater than
- is less than
Use the number line to help you compare -2 and 0.
-2 is farther left than 0.
-2 is less than 0.
Which words make this statement true?
4 ____ 5
- is greater than
- is less than
Use the number line to help you compare 4 and 5.
4 is farther left than 5.
4 is less than 5.