### Maths Greater Than

##### What is Greater Than?

The “greater than” symbol (>) is a mathematical symbol used to compare two numbers or expressions. It indicates that the number or expression on the left is greater than the number or expression on the right.

##### How to Use the “Greater Than” Symbol

The “greater than” symbol is used in mathematical expressions to compare two numbers or expressions. It is placed between the two numbers or expressions being compared, with the greater number or expression on the left.

For example, the expression “5 > 3” means that 5 is greater than 3.

##### Properties of the “Greater Than” Symbol

The “greater than” symbol has the following properties:

- It is a transitive relation, meaning that if a > b and b > c, then a > c.
- It is an asymmetric relation, meaning that if a > b, then b cannot be greater than a.
- It is an irreflexive relation, meaning that no number or expression can be greater than itself.

The “greater than” symbol is a fundamental mathematical symbol that is used to compare numbers and expressions. It has a variety of applications in mathematics, computer science, and everyday life.

##### Meaning and Symbol of greater than

The greater than symbol (>) is a mathematical symbol that indicates that the quantity on the left is greater than the quantity on the right. It is often used in comparisons of numbers, but can also be used to compare other types of quantities, such as lengths, weights, or volumes.

##### History of the Greater Than Symbol

The greater than symbol was first used in the 16th century by the English mathematician Robert Recorde. Recorde used the symbol to represent the Latin word “maior”, which means “greater”. The symbol was later adopted by other mathematicians and became the standard symbol for greater than.

##### Symbol of Greater Than

The greater than symbol is a mathematical symbol that is used to indicate that the quantity on the left is greater than the quantity on the right. It is often used in comparisons of numbers, but can also be used to compare other types of quantities, such as lengths, weights, or volumes.

The greater than symbol is typically written as a slanted line with the point pointing to the right. In some cases, the symbol may be written as a horizontal line with a dot above it.

**Examples of the Greater Than Symbol**

The greater than symbol is used in a variety of mathematical expressions. Some examples include:

- 5 > 3 (five is greater than three)
- 10 > 20 (ten is not greater than twenty)
- x > y (x is greater than y)
- a > b (a is greater than b)

The greater than symbol is a mathematical symbol that is used to indicate that the quantity on the left is greater than the quantity on the right. It is often used in comparisons of numbers, but can also be used to compare other types of quantities, such as lengths, weights, or volumes.

##### Application of Greater Than Symbol

The greater than symbol (>) is used in mathematics and programming to compare two values. It is read as “greater than.”

##### Mathematical Applications

In mathematics, the greater than symbol is used to compare two numbers. For example, 5 > 3 means that 5 is greater than 3.

The greater than symbol can also be used to compare inequalities. For example, x > 5 means that x is greater than 5.

##### Programming Applications

In programming, the greater than symbol is used to compare two variables. For example, if x = 5 and y = 3, then x > y will evaluate to true.

The greater than symbol can also be used to compare strings. For example, if x = “apple” and y = “banana”, then x > y will evaluate to false.

##### Other Applications

The greater than symbol is also used in other fields, such as:

**Physics:**The greater than symbol is used to compare the magnitudes of two forces.**Chemistry:**The greater than symbol is used to compare the concentrations of two solutions.**Economics:**The greater than symbol is used to compare the prices of two goods.

The greater than symbol is a versatile symbol that is used in a variety of applications. It is important to understand the different ways that the greater than symbol can be used in order to use it correctly.

##### How to Use Greater Than Symbol?

The greater than symbol (>) is used to compare two values and determine which one is greater. It can be used with numbers, dates, times, and other types of data.

##### Using the Greater Than Symbol with Numbers

When comparing two numbers, the greater than symbol is placed between the two numbers. The number on the left side of the symbol must be greater than the number on the right side. For example:

5 > 3 10 > 20 -1 > -2

##### Using the Greater Than Symbol with Dates

When comparing two dates, the greater than symbol is placed between the two dates. The date on the left side of the symbol must be later than the date on the right side. For example:

January 1, 2023 > December 31, 2022 July 4, 1776 > July 3, 1776

##### Using the Greater Than Symbol with Times

When comparing two times, the greater than symbol is placed between the two times. The time on the left side of the symbol must be later than the time on the right side. For example:

10:00 AM > 9:00 AM 1:00 PM > 12:00 PM

##### Using the Greater Than Symbol with Other Types of Data

The greater than symbol can also be used to compare other types of data, such as strings and booleans. For example:

“apple” > “banana” TRUE > FALSE

The greater than symbol is a useful tool for comparing two values and determining which one is greater. It can be used with numbers, dates, times, and other types of data.

##### Solved Examples on Greater Than

##### Example 1:

**Question:** Is 7 greater than 5?

**Solution:** Yes, 7 is greater than 5 because 7 is to the right of 5 on the number line.

##### Example 2:

**Question:** Is -3 greater than -5?

**Solution:** No, -3 is not greater than -5 because -3 is to the left of -5 on the number line.

##### Example 3:

**Question:** Is 0 greater than -1?

**Solution:** Yes, 0 is greater than -1 because 0 is to the right of -1 on the number line.

##### Example 4:

**Question:** Is 1/2 greater than 1/3?

**Solution:** To compare fractions, we can find a common denominator. The common denominator of 1/2 and 1/3 is 6. So, 1/2 = 3/6 and 1/3 = 2/6. Since 3/6 is greater than 2/6, 1/2 is greater than 1/3.

##### Example 5:

**Question:** Is 0.75 greater than 0.5?

**Solution:** To compare decimals, we can line them up vertically and compare the digits from left to right. 0.75 is greater than 0.5 because the 7 in the tenths place is greater than the 5 in the tenths place.

##### Example 6:

**Question:** Is $2^3$ greater than $3^2$ ?

**Solution:** $2^3$ = 8 and $3^2$ = 9. Since 8 is less than 9, $2^3$ is not greater than $3^2$.

##### Example 7:

**Question:** Is √9 greater than √16?

**Solution:** √9 = 3 and √16 = 4. Since 3 is less than 4, √9 is not greater than √16.

##### Example 8:

**Question:** Is π greater than e?

**Solution:** π ≈ 3.14 and e ≈ 2.71. Since 3.14 is greater than 2.71, π is greater than e.

##### Example 9:

**Question:** Is ∞ greater than any real number?

**Solution:** Yes, ∞ is greater than any real number because ∞ is not a real number.

##### Greater Than FAQs

##### What is the greater than symbol?

The greater than symbol is a mathematical symbol that is used to compare two numbers. It is represented by the character “>”.

##### What does the greater than symbol mean?

The greater than symbol means that the number on the left is greater than the number on the right. For example, 5 > 3 means that 5 is greater than 3.

##### How do I use the greater than symbol?

The greater than symbol is used to compare two numbers. To use the greater than symbol, simply place it between the two numbers that you want to compare. For example, to compare the numbers 5 and 3, you would write 5 > 3.

##### What are some examples of using the greater than symbol?

Here are some examples of how the greater than symbol can be used:

- 5 > 3 means that 5 is greater than 3.
- 10 > 20 means that 10 is not greater than 20.
- 15 > 15 means that 15 is equal to 15.

##### What is the difference between the greater than symbol and the less than symbol?

The greater than symbol is used to compare two numbers and determine which one is greater. The less than symbol is used to compare two numbers and determine which one is less. The greater than symbol is represented by the character “>”, while the less than symbol is represented by the character “<”.

##### What is the difference between the greater than or equal to symbol and the less than or equal to symbol?

The greater than or equal to symbol is used to compare two numbers and determine if one number is greater than or equal to the other number. The less than or equal to symbol is used to compare two numbers and determine if one number is less than or equal to the other number. The greater than or equal to symbol is represented by the character “>=”, while the less than or equal to symbol is represented by the character “<=”.

##### What are some of the applications of the greater than symbol?

The greater than symbol is used in a variety of applications, including:

**Mathematics:**The greater than symbol is used to compare numbers and determine which one is greater.**Science:**The greater than symbol is used to compare measurements and determine which one is greater.**Engineering:**The greater than symbol is used to compare specifications and determine which one is greater.**Business:**The greater than symbol is used to compare profits and losses and determine which one is greater.

##### Conclusion

The greater than symbol is a mathematical symbol that is used to compare two numbers. It is a versatile symbol that has a variety of applications in mathematics, science, engineering, and business.