Test: Computation Operations - 1 - Class 4 MCQ

Addition and Multiplication are commutative, meaning the order of the numbers being added does not affect the result.

 The sum of 4 + 5 + 6 is 15.

Multiplication possesses the associative property, which means the grouping of numbers being multiplied does not affect the result.

Addition is associative, which means the grouping of numbers being added does not affect the result. For example, (2 + 3) + 5 is the same as 2 + (3 + 5).

In mathematics, an operation is said to be associative if the grouping of the operands does not affect the result. In other words, for an operation ∗, the operation is associative if:

(a∗b)∗c=a∗(b∗c)

Some common operations and their associativity:

1. Addition (+): Associative

   (a+b)+c=a+(b+c)

2. Multiplication (×\times×): Associative

   (a×b)×c=a×(b×c)

3. Subtraction (−-−): Not associative

   (a−b)−c≠a−(b−c

4. Division (div÷): Not associative

   (a÷b)÷c≠a÷(b÷c)

Conclusion:

• Subtraction and division are not associative operations.

If you're given specific options, subtraction and division would be the correct answers for "not associative."

Multiplication involves adding a number to itself a certain number of times. For example, 5 * 2 is equivalent to adding 5 to itself twice, which results in 10.

Multiplication is distributive, cumulative, and associative. It follows the distributive property, meaning a * (b + c) is equal to (a * b) + (a * c). It is also cumulative, as multiplying a number by another number multiple times is equivalent to adding that number repeatedly. Additionally, multiplication is associative, meaning the grouping of numbers being multiplied does not affect the result.

Division is related to multiplication. Division is the inverse operation of multiplication. It can be thought of as "undoing" the multiplication process.

Division is distributive over both subtraction and addition. This means that dividing a sum or difference of numbers is equivalent to dividing each number individually and then performing the corresponding operation on the results. For example, (6 + 9) / 3 is equal to (6 / 3) + (9 / 3).

The expression (6 + 9) / 3 simplifies to (15) / 3, which further simplifies to 5.