Greater Than Less Than Calculator
Enter 7 and 5, and this calculator tells you 7 is greater than 5, showing the symbol 7 > 5. The greater than less than calculator compares any two numbers, decimals included, and reports the correct relationship along with the matching comparison symbol: greater than (>), less than (<), or equal to (=). It is built for students learning number comparison and for parents helping check homework, so the result is short, direct, and easy to read at a glance. Type a first number and a second number, and the calculator does the comparison for you. Behind the scenes it is simple arithmetic: line the two numbers up on a number line and see which one sits further to the right. The number further to the right is always the greater one, whether both numbers are positive, both are negative, or one of each. This tool also handles decimals like 3.25 and 3.4 without any extra steps, which is exactly where students most often second-guess themselves. Comparing numbers correctly is a building block for later math: ordering fractions, reading inequalities, solving basic algebra, and interpreting graphs all depend on knowing which of two values is bigger. Getting quick, correct feedback on simple comparisons helps that skill become automatic before more complex problems build on top of it.
Quick answer
Comparing two numbers means deciding whether the first is greater than, less than, or equal to the second.
Comparison
7 > 5
Result
7 is greater than 5
Symbol
>
What this tells you
- •Comparing two numbers means deciding whether the first is greater than, less than, or equal to the second.
- •The greater than symbol (>) points toward the smaller number, and the less than symbol (<) also points toward the smaller number, since both symbols open toward the bigger value.
- •On a number line, the number farther to the right is always the greater one, no matter whether the numbers are positive, negative, or zero.
- •For negative numbers, a smaller absolute value is actually the larger number, so -2 is greater than -8 even though 8 is bigger than 2.
- •Decimals compare digit by digit from the left, so 3.4 is greater than 3.25 because the tenths digit 4 beats the tenths digit 2.
- •Two numbers are equal only when every digit matches exactly, including any decimal places.
How to Use
- 1Enter the first number in the top field. Decimals and negative numbers are both accepted.
- 2Enter the second number in the second field.
- 3Click Calculate to compare the two values.
- 4Read the result, which shows the comparison symbol and the plain-language statement of which number is bigger.
- 5Change either number and calculate again to check a new pair, such as when checking a full page of comparison homework problems.
How It Works
Formula
if A > B, result is greater than. If A < B, result is less than. If A = B, result is equal toComparing two numbers A and B means checking their position relative to each other on the number line. If A sits to the right of B, then A is greater than B, written A > B. If A sits to the left of B, then A is less than B, written A < B. If A and B land on the exact same point, they are equal, written A = B. This rule holds for whole numbers, decimals, and negative numbers alike, since the number line runs continuously from very negative values on the left through zero and up to very positive values on the right. There is no separate rule needed for negatives: -3 is less than -1 because -3 sits farther left, and 0.5 is less than 0.75 because 0.5 sits farther left, using the same left-to-right logic every time.
Calculation note: values are processed in the order shown above, using the current input units.
Worked Examples
Comparing two whole numbers
7 sits to the right of 5 on the number line, so 7 is greater than 5. The result shows the symbol > along with the statement that 7 is greater than 5.
Comparing two negative numbers
Even though 8 is a bigger number than 2, -2 sits to the right of -8 on the number line, so -2 is the greater value. This is the comparison students most often get backward when negatives are involved.
Comparing two decimals that are close together
Both numbers start with 3, so compare the next digit: 2 in the tenths place of 3.25 versus 4 in the tenths place of 3.4. Since 2 is less than 4, 3.25 is less than 3.4, even though 3.25 has more digits shown.
Comparing two equal values
Both numbers are identical, so the result is equal, shown with the = symbol rather than either comparison arrow.
Common mistakes
- Assuming a negative number with a bigger digit is always smaller. -2 is greater than -8, since a negative number closer to zero is always the larger value.
- Confusing which way the greater than and less than symbols point. Both symbols open toward the larger number and the point faces the smaller number, so 7 > 5 and 5 < 7 describe the same relationship.
- Comparing decimals by looking at which number has more digits after the decimal point. 3.25 looks longer than 3.4, but 3.4 is the larger value because the tenths digit decides it before the extra digits matter.
- Forgetting to line up decimal places when comparing by hand. Writing 3.4 as 3.40 makes it easier to see it is larger than 3.25 digit by digit.
- Treating a fraction and a decimal as automatically unequal without converting first. 1/2 and 0.5 are equal once the fraction is converted to a decimal, even though they look different on the page.