Comparing Numbers
Learn to compare numbers using greater than, less than, and equal to symbols with the alligator mouth trick for whole numbers, fractions, and measurements.
Key Concepts
Property To compare two numbers, we use symbols to show if they are equal (=) or if one is greater ( ) or less (<) than the other. The small, pointy end of the symbol always aims at the smaller number.
Examples Compare the numbers: $5012 \bigcirc 5102 \rightarrow 5012 < 5102$ Use symbols to write: One third is less than one half. $\rightarrow \frac{1}{3} < \frac{1}{2}$ Compare the lengths: $1 \text{ foot} \bigcirc 10 \text{ inches} \rightarrow 1 \text{ foot} 10 \text{ inches}$.
Explanation Imagine the and < symbols are a hungry alligator's mouth! The alligator always wants to eat the bigger meal, so its mouth opens toward the larger number. If both numbers are the same, the alligator gets confused and shuts its mouth, forming an equal sign. It’s a foolproof way to remember your comparison symbols!
Common Questions
What symbols are used to compare numbers in 6th grade math?
To compare numbers, we use three symbols: greater than (>), less than (<), and equal to (=). The small, pointy end of the symbol always aims at the smaller number, so the open side faces the larger number.
How does the alligator mouth trick help with comparing numbers?
The alligator mouth trick means imagining the > and < symbols as a hungry alligator's mouth that always opens toward the bigger number. If both numbers are equal, the alligator shuts its mouth, forming the equal sign (=).
How do you compare large numbers like 5012 and 5102?
To compare large numbers, start by counting the digits—more digits means a larger number. If the digit count is the same, compare digit by digit from left to right, so 5012 < 5102 because the hundreds digit 0 is less than 1.
Can you use greater than and less than symbols to compare fractions and measurements?
Yes, comparison symbols work for fractions and measurements too. For example, one third is less than one half written as 1/3 < 1/2, and 1 foot > 10 inches because one foot equals 12 inches.