1.
A + b = b +a is an example of which mathematical property?
Correct Answer
A. Commutative Property (Order Property)
Explanation
The given equation, a + b = b + a, demonstrates the commutative property of addition. This property states that the order of adding two numbers does not affect the sum. In other words, when adding two numbers, it doesn't matter which number comes first, the result will remain the same.
2.
A + (b +c) = (a + b) + c is an example of which mathematical property?
Correct Answer
B. Associative Property (Grouping Property)
Explanation
The given equation, a + (b + c) = (a + b) + c, demonstrates the Associative Property (Grouping Property) in mathematics. This property states that the grouping of numbers being added or multiplied does not affect the result. In this case, regardless of whether we first add b and c or a and b, the final sum will be the same. The equation shows that the addition of b and c is grouped together and then added to a, which is equivalent to adding a and b first and then adding c.
3.
A x (b + c) = (a x b) + (a x c) is an example of which mathematical property?
Correct Answer
C. Distributive Property
Explanation
The given equation, a x (b + c) = (a x b) + (a x c), represents the Distributive Property. This property states that when multiplying a number by the sum of two other numbers, you can distribute the multiplication to each term inside the parentheses. In this case, the multiplication of a by the sum (b + c) is equal to the sum of the multiplication of a by b and the multiplication of a by c.
4.
What is the GCF/GCD of 16 and 24?
Correct Answer
B. 8
Explanation
Find the GCF/GCD by listing all the factors and finding the largest one that is shared.
5.
What is the prime factorization of 120?
Correct Answer
A. 2 x 2 x 2 x3 x 5
Explanation
The prime factorization of a number involves finding the prime numbers that multiply together to give the original number. In this case, the prime factorization of 120 is 2 x 2 x 2 x 3 x 5. This means that 2, 3, and 5 are the prime numbers that, when multiplied together, equal 120.
6.
Multiples of 9 are what?
Correct Answer
A. 9,18,27...
Explanation
The given answer is incorrect. Multiples of 9 are numbers that can be obtained by multiplying 9 by any whole number. The correct answer should be "9, 18, 27, ..." as these are the numbers that can be obtained by multiplying 9 by 1, 2, 3, and so on.
7.
Find the LCM of 7 and 14
Correct Answer
A. 14
Explanation
List the multiples of both nubmers until you find the lowest number shared by both.
8.
Find the LCD of 1/5 and 1/6
Correct Answer
A. 30
Explanation
The LCD is the LCM of the denomiators of 2 or more fractions