Greater Than or Less Than Calculator
Compare any two numbers instantly — integers, decimals, or negative numbers — and see the correct symbol (>, <, or =).
Enter two numbers to compare them. The calculator returns the correct comparison symbol and a plain-English statement.
Greater Than or Less Than Calculator
Compare any two numbers instantly — integers, decimals, or negative numbers — and see the correct symbol (>, <, or =).
About the Greater Than or Less Than Calculator
Comparing two numbers is one of the most basic operations in mathematics, yet it arises constantly in everyday life — comparing prices, scores, temperatures, distances, percentages, and data values. The three possible outcomes are: the first number is greater than the second (written A > B), the first number is less than the second (written A < B), or the two numbers are equal (written A = B). The symbols > and < were introduced by English mathematician Thomas Harriot in the early seventeenth century and have been universal since.
The comparison rule for real numbers is straightforward: on the number line, numbers increase from left to right. A number that appears further to the right is greater than a number that appears further to the left. For positive integers this is intuitive — 10 > 5 because ten is bigger than five. For negative numbers the rule sometimes surprises: −3 > −10 because −3 is closer to zero (further right on the number line), even though 3 is less than 10 in absolute value. The absolute value of a number and its relative position on the number line are two different things.
Decimal numbers are compared digit by digit from left to right: first compare the integer parts, and only if they are equal do you compare the decimal parts. For example, 7.5 > 7.3 because both share the integer part 7 and then 5 > 3 in the tenths place.
Scientific notation, percentages, and very large or very small numbers can all be compared by first converting to a common form. A percentage is simply a number divided by 100, so 85% = 0.85 and 92% = 0.92, making it easy to see that 92% > 85%. Scientific notation like 3.2 × 10⁴ = 32000 is compared by first aligning exponents.
The greater than and less than symbols are also the basis of inequality notation in algebra and calculus. Solving inequalities like 2x + 3 > 7 produces a range of values rather than a single answer, and that range is expressed using > or < with a variable. Understanding the basic comparison of two specific numbers is the foundation for all inequality work.
This calculator handles integers, decimals, and negative numbers. Enter any two numeric values, click Compare, and instantly see the result symbol and a plain-English statement.
Comparison Examples
Four examples covering positive integers, negative numbers, decimals, and equal values.
| A vs B | Result | Explanation |
|---|---|---|
| A = 10, B = 5 | 10 > 5 | Ten is greater than five. On the number line, 10 is further to the right than 5. |
| A = −3, B = 2 | −3 < 2 | Negative numbers are always less than positive numbers. −3 is to the left of 2 on the number line. |
| A = 7.5, B = 7.5 | 7.5 = 7.5 | Both values are identical. Decimal comparison agrees that 7.5 equals 7.5. |
| A = −15, B = −30 | −15 > −30 | Among negative numbers, the one closer to zero is greater. −15 > −30 because −15 is further to the right on the number line. |
How to Use the Greater Than or Less Than Calculator
- Enter the first number (A) in the 'First Number (A)' field. You can enter any real number: positive, negative, integer, or decimal.
- Enter the second number (B) in the 'Second Number (B)' field.
- Click 'Compare Numbers'. The result shows the correct symbol (>, <, or =) and a plain-English description of the relationship.
- Use the Reset Fields button to clear both inputs and start a new comparison.
- Try the example buttons to quickly load common comparison scenarios such as positive integers, negative numbers, or decimals.
Greater Than or Less Than Calculator FAQ
How do I compare negative numbers?
On the number line, numbers increase from left to right, so a less negative number is always greater. For example, −5 > −10 because −5 is closer to zero than −10. A common mistake is to confuse the absolute value with the actual value — always think in terms of position on the number line.
Which way does the > symbol point?
The greater-than symbol > opens toward the left (the larger number) and points toward the right (the smaller number). A memory trick: the open (wide) end always faces the bigger number. So 8 > 3 — the wide side faces 8.
What is the difference between > and ≥?
The symbol > means strictly greater than — the two values cannot be equal. The symbol ≥ means greater than or equal to — the values may be equal or the first may be larger. For example, 5 > 5 is false, but 5 ≥ 5 is true.
How do I compare very large or very small numbers?
Express both numbers in the same format (standard decimal or scientific notation), then compare digit by digit from the most significant position. The number with a larger leading digit (or larger exponent in scientific notation) is greater.
How do I compare fractions with this calculator?
Convert each fraction to a decimal first by dividing the numerator by the denominator, then enter the decimal values. For example, 3/4 = 0.75 and 5/7 ≈ 0.7143, so you would enter 0.75 and 0.7143 to confirm 3/4 > 5/7.
What does it mean for two numbers to be equal?
Two numbers are equal when they represent the exact same value on the number line, written A = B. This is true even if they look different — for instance, 0.5 = 1/2 = 50/100. The equal sign means neither number is greater or less than the other.