Which Property Is Illustrated by the following Statement?

The property illustrated by the following statement is perseverance. This is the ability to continue working hard or making an effort despite feeling tired or difficult situations. It is an important quality to have in life as it can help you to achieve your goals and overcome obstacles.

Perseverance is a particularly important quality in today's world as we are constantly faced with challenges and difficult situations. It can be all too easy to give up when things get tough, but if you persevere you will find that you can achieve anything you set your mind to.

Some people seem to naturally have more perseverance than others, but it is something that can be learned and developed. There are many ways to build up your perseverance, such as setting yourself small goals and gradually working up to bigger ones, or breaking up a big goal into smaller steps to make it seem more achievable.

It is also important to have a positive attitude and to believe in yourself. This will give you the motivation to keep going even when things are tough.

Remember, anything worth achieving takes effort, so don't give up – keep going and you will succeed!

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The commutative property of addition states that when two numbers are added together, the order in which they are added does not matter. For example, 3 + 4 = 4 + 3. This is because both 3 and 4 are being added to the other number, so it does not matter which order they are added in.

This property is important because it helps us to see that addition is a commutative operation. This means that we can add numbers in any order we like, and the answer will be the same. This is a very useful property, as it means we can often add numbers in the easiest order, rather than having to start from the largest number and work our way down.

The commutative property of addition is also a very important Mathematical property. It is used in many different ways, and helps us to understand a lot about addition and about numbers in general. Without it, Mathematics would be a lot harder, and a lot less fun!

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Commutative property is when you can change the order of the numbers being added and the sum will remain the same. For example, in the equation 3 + 7 = 10, the 3 and the 7 can be swapped and the equation will still be true, 7 + 3 = 10. This is because regardless of the order, 3 plus 7 will always equal 10. The commutative property also applies to multiplication. So, in the equation 4 x 5 = 20, the 4 and the 5 can be swapped and the equation will still be true, 5 x 4 = 20.

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The commutative property of addition states that the order in which two numbers are added does not affect the sum. In other words, a + b = b + a. This property is simply a result of the way addition is defined. When we add two numbers, we are simply combining them into one number, and the order in which we do so does not matter.

The commutative property is one of the most basic properties of arithmetic, and it is something that we rely on without even thinking about it. Whenever we add two numbers, we are using the commutative property. For example, when we say that 3 + 4 = 4 + 3, we are using the commutative property.

The commutative property is not just limited to addition. It also applies to multiplication. The commutative property of multiplication states that the order in which two numbers are multiplied does not affect the product. In other words, a times b is equal to b times a.

The commutative property is a fundamental property of arithmetic that we use all the time without even realizing it. It is a property that we take for granted, but it is one of the things that makes arithmetic work.

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The commutative property of addition states that the order in which two numbers are added does not affect the sum. In other words, a+b=b+a. For example, 3+7=7+3=10. This is in contrast to the commutative property of multiplication, which states that the order in which two numbers are multiplied does affect the product. For example, 3x7=21 but 7x3=24.

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The commutative property of addition is one of the most basic and important properties in mathematics. It states that for any two numbers, a and b, the order in which they are added does not affect the sum. In other words, a + b = b + a. This may seem like a small and simple concept, but it is actually very important.

One of the main reasons why the commutative property of addition is so important is that it is the foundation for many other properties and operations in math. For example, the associative property of addition, which states that for any three numbers, a, b, and c, the order in which they are added does not affect the sum, is just a more complicated version of the commutative property. So, if you understand the commutative property, you are already well on your way to understanding some of the more advanced properties and operations in math.

Another reason why the commutative property of addition is so important is that it is used all the time in everyday life. Whenever you are adding two or more numbers together, whether you are keeping track of your spending money, calculating the tip at a restaurant, or adding up a list of numbers, you are using the commutative property of addition. Even if you don't realize it, this property is helping you to get the correct answer every time.

Finally, the commutative property of addition is important because it can help you to understand other concepts in math. For example, if you are having trouble understanding why 2 + 3 = 3 + 2, you can use the commutative property to help you see that it doesn't matter what order the numbers are in, the sum will always be the same.

Overall, the commutative property of addition is a very important concept in mathematics. It is the foundation for many other properties and operations, it is used constantly in everyday life, and it can help you to understand other concepts in math. If you understand the commutative property of addition, you will be well on your way to becoming a math master!

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The commutative property of addition is one of the most basic and important properties in mathematics. It states that for any two numbers, a and b, the order in which they are added does not affect the sum. In other words, a + b = b + a. This property is used in many different ways in mathematics.

One way the commutative property of addition is used is in mental math. When doing mental math, it is often easier to add the smaller number to the larger number. For example, if you want to add 7 + 9, you can first add 9 + 7 to get 16, and then subtract 7 from 16 to get the answer, 9. This is much faster than adding the numbers in the traditional order.

The commutative property of addition is also used in algebra. In algebra, we often need to rearrange equations so that the variable we are solving for is on one side of the equation and everything else is on the other side. This can be done by adding or subtracting the same number from both sides of the equation. For example, if we have the equation x + 5 = 10, we can subtract 5 from both sides to get x = 5.

The commutative property of addition is also used in geometry. When finding the area of a rectangle, we need to multiply the length and width. It does not matter which order we multiply them in, because the product will be the same. For example, if the length is 9 and the width is 8, then the area is 9 times 8, or 72. We could also multiply 8 times 9 and get the same answer.

The commutative property of addition is a fundamental property in mathematics that is used in many different ways. It is a property that we use every day, whether we realize it or not.

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The commutative property of addition states that the order in which two numbers are added does not affect the result. In other words, a + b = b + a. This property is related to several other properties, including the associative property of addition, the commutative property of multiplication, and the distributive property.

The associative property of addition states that the order in which three or more numbers are added does not affect the result. In other words, (a + b) + c = a + (b + c). This property is related to the commutative property of addition because it can be thought of as adding three numbers in a row, where the order does not matter. For example, if we have the numbers 1, 2, and 3, we can add them in any order and the result will be the same: 1 + 2 + 3 = 3 + 2 + 1 = 6.

The commutative property of multiplication states that the order in which two numbers are multiplied does not affect the result. In other words, a x b = b x a. This property is related to the commutative property of addition because it is simply a different way of adding the same numbers. For example, if we have the numbers 1, 2, and 3, we can multiply them in any order and the result will be the same: 1 x 2 x 3 = 3 x 2 x 1 = 6.

The distributive property states that for any two numbers a and b, a x (b + c) = (a x b) + (a x c). This property is related to the commutative property of addition because it allows us to split up the addition of two numbers into smaller parts. For example, if we have the numbers 1, 2, and 3, we can distributively multiply 1 by each number and then add the results: 1 x (2 + 3) = (1 x 2) + (1 x 3) = 2 + 3 = 5. This is useful because it means we can simplify complex addition problems by breaking them down into smaller parts.

In summary, the commutative property of addition is related to several other properties, including the associative property of addition, the commutative property of multiplication, and the distributive property. Each of these properties can be thought of as a different way of adding numbers, which is helpful in simplifying complex addition

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The commutative property of addition is one of the most fundamental properties of arithmetic. It states that for any two numbers, a and b, the sum a + b is the same as the sum b + a. In other words, the order of addition does not affect the result. The commutative property is a basic property of arithmetic that is often taken for granted, but it is actually a relatively recent development.

The history of the commutative property of addition begins with the ancient Babylonians and Egyptians. These cultures developed algebraic systems in which equations were written in terms of unknowns. For example, an equation might be written as x + y = z, where x, y, and z are unknowns. In these systems, the order of the terms in an equation was significant. For example, the equation x + y = z would have a different solution than the equation y + x = z.

The ancient Greeks also developed an algebraic system, but they were the first to realize that the order of the terms in an equation is not significant. This realization led to the development of the commutative property of addition. The first known statement of the commutative property is found in the work of the Greek mathematician Diophantus, who wrote circa 250 AD.

The commutative property of addition remained a purely mathematical concept for centuries. It was not until the 18th century that the property began to be used in everyday arithmetic. The reason for this is that the vast majority of people were not educated in mathematics and were not aware of the property.

It wasn't until the late 19th century that the commutative property of addition became standard practice in elementary arithmetic. In 1882, the U.S. Bureau of Education published a report titled "Commutation in Arithmetic." The report proposed that the commutative property of addition should be taught in elementary schools. The proposal was met with resistance from some educators, but the commutative property eventually became accepted as a fundamental principle of arithmetic.

The history of the commutative property of addition is a long and storied one. The property has been known since ancient times, but it wasn't until the 18th century that it began to be used in everyday arithmetic. The commutative property is now a fundamental principle of arithmetic and is taught in elementary schools around the world.

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The commutative property of addition states that the order in which two numbers are added does not affect the sum. In other words, a + b = b + a. This property is one of the most fundamental properties in mathematics and has numerous applications in both mathematics and everyday life.

One of the most basic applications of the commutative property of addition is in basic arithmetic. When adding two or more numbers, the order in which they are added does not affect the final sum. For example, 3 + 5 = 5 + 3 = 8. This property is also used when subtracting numbers; the order in which the numbers are subtracted does not affect the final difference. For example, 10 - 5 = 5 - 10 = 5.

The commutative property of addition also has applications in algebra. When solving equations, the order of the terms does not affect the final solution. For example, in the equation 3x + 5 = 13, the 5 can be moved to the other side of the equation without changing the value of x. This is because adding 5 to both sides of the equation cancels out the 5 on the left side, leaving 3x = 8. This is still true when there are more than two terms on each side of the equation; the order of the terms can be changed without affecting the final solution.

The commutative property of addition also has applications in geometry. When finding the perimeter of a shape, the order in which the sides are added does not affect the final perimeter. For example, the perimeter of a rectangle with sides of 3 and 5 is 3 + 3 + 5 + 5 = 16, which is the same as 5 + 5 + 3 + 3. This is because the commutative property of addition allows the sides to be added in any order.

The commutative property of addition is also important in Probability and Statistics. When two events are independent, the probability of them both occurring is the product of the individual probabilities. For example, the probability of flipping a coin and getting heads is 1/2, and the probability of flipping a second coin and getting heads is also 1/2. The probability of getting heads on both coins is 1/2 x 1/2 = 1/4. This is because the order in which the events occur does not affect the probability of both events occurring.

The commutative property of addition also has applications in physics. In

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