Properties Of Numbers Quiz Questions

Explanation
The expression 8 * 1 = 8 represents the Identity Property of Multiplication. This property states that when any number is multiplied by 1, the result is the original number. In this case, when 8 is multiplied by 1, the product is 8, which is the same as the original number.

Explanation
The given expression represents the Associative Property of Addition. This property states that when adding three or more numbers, the grouping of the numbers does not affect the sum. In the given expression, the numbers 4, 7, and 3 are added together. The expression shows that whether we group (4+7) first and then add 3, or group 7 and 3 first and then add 4, the result will be the same. This demonstrates the Associative Property of Addition.

Explanation
The given expression 3 * 0 = 0 does not represent the Identity Property of Multiplication. According to the Identity Property of Multiplication, any number multiplied by 1 will be equal to that number. In this case, 3 * 0 is equal to 0, not 3. Therefore, the given expression does not demonstrate the Identity Property of Multiplication.

Explanation
The correct answer is 3x+6 because when we distribute the 3 to both terms inside the parentheses, we get 3 times x which is 3x, and 3 times 2 which is 6. Therefore, the expression simplifies to 3x+6.

Explanation
The perimeter of a rectangle is found by adding up the lengths of all four sides. In this case, the lengths of the sides are given as 4x, 12x, 6x, and 8x. Adding these lengths together gives us a total perimeter of 30x.

Explanation
The identity property for addition states that when any number is added to zero, the result is the original number. In the given options, the equation 3 + 0 = 3 satisfies this property. Adding 0 to 3 does not change the value of 3, making it the identity element for addition.

Explanation
8 + (9 + 6) = 8 + (6 + 9)
is the associative property of addition.
According to the associative property of addition, the grouping of numbers in addition does not affect the sum. In other words, you can change the grouping of the numbers being added, and the result will remain the same. This property holds true for addition because the order in which numbers are added does not change the total sum.