Math Properties Worksheets 6th Grade

Are you a 6th-grade student who wants to practice and strengthen your understanding of math properties? Look no further! We have compiled a selection of worksheets specifically designed to help you grasp the concept of math properties. These worksheets are a valuable resource for anyone who wants to excel in their math studies.

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What is the commutative property of addition?

The commutative property of addition states that changing the order of the addends does not change the sum. In other words, a + b is equal to b + a. This property allows us to rearrange the numbers being added without altering the final result.

What is the associative property of multiplication?

The associative property of multiplication states that when multiplying three or more numbers together, the grouping of the numbers does not affect the product. In other words, you can multiply numbers in any order and the result will remain the same. For example, (2 x 3) x 4 = 2 x (3 x 4).

What is the distributive property of multiplication over addition?

The distributive property of multiplication over addition states that when you multiply a number by the sum of two other numbers, it is the same as multiplying the number by each of the two numbers separately and then adding the two products together. In mathematical terms, a * (b + c) = a*b + a*c.

What is the identity property of multiplication?

The identity property of multiplication states that when any number is multiplied by 1, the result is the original number. This property means that 1 is the identity element for multiplication, as it does not change the value of the number it is multiplied by.

What is the additive inverse property?

The additive inverse property states that for any real number a, there exists a unique real number -a such that a + (-a) = 0. This property essentially means that when you add a number to its negative, you will always get zero as the result.

What is the multiplicative inverse property?

The multiplicative inverse property states that for any non-zero number a, there exists a unique number b such that their product is equal to 1. In other words, the multiplicative inverse of a number a is denoted as 1/a and is the number that, when multiplied by a, results in the multiplicative identity, which is 1.

What is the transitive property of equality?

The transitive property of equality states that if a = b and b = c, then a = c. In other words, if two quantities are equal to the same quantity, then they are also equal to each other.

What is the reflexive property of equality?

The reflexive property of equality states that any quantity is equal to itself. In other words, for any real number a, a = a. This property reinforces the basic principle of equality that everything is always equal to itself.

What is the symmetric property of equality?

The symmetric property of equality states that if a = b, then b = a. This means that if two quantities are equal to each other, the order in which they are written does not matter.

What is the transitive property of inequalities?

The transitive property of inequalities states that if a relationship between two numbers is greater than or less than, then this relationship can be extended to compare other numbers in the same way. In other words, if a is greater than b and b is greater than c, then a is greater than c. Similarly, if x is less than y and y is less than z, then x is less than z. This property helps maintain the order and consistency of inequalities.